TSTP Solution File: SWV260-2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HC9NraX06a true
% Computer : n021.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 00:08:37 EDT 2023
% Result : Unsatisfiable 14.76s 2.71s
% Output : Refutation 14.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HC9NraX06a true
% 0.13/0.34 % Computer : n021.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 06:44:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.91/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.10/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.10/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.10/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.76/2.71 % Solved by fo/fo3_bce.sh.
% 14.76/2.71 % BCE start: 10
% 14.76/2.71 % BCE eliminated: 0
% 14.76/2.71 % PE start: 10
% 14.76/2.71 logic: eq
% 14.76/2.71 % PE eliminated: 1
% 14.76/2.71 % done 1168 iterations in 1.967s
% 14.76/2.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.76/2.71 % SZS output start Refutation
% 14.76/2.71 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 14.76/2.71 thf(v_X_type, type, v_X: $i).
% 14.76/2.71 thf(v_G_type, type, v_G: $i).
% 14.76/2.71 thf(v_Y_type, type, v_Y: $i).
% 14.76/2.71 thf(c_Message_Oparts_type, type, c_Message_Oparts: $i > $i).
% 14.76/2.71 thf(c_Main_OsubsetI__1_type, type, c_Main_OsubsetI__1: $i > $i > $i > $i).
% 14.76/2.71 thf(v_H_type, type, v_H: $i).
% 14.76/2.71 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 14.76/2.71 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 14.76/2.71 thf(c_union_type, type, c_union: $i > $i > $i > $i).
% 14.76/2.71 thf(tc_set_type, type, tc_set: $i > $i).
% 14.76/2.71 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 14.76/2.71 thf(cls_conjecture_2, conjecture,
% 14.76/2.71 (c_in @
% 14.76/2.71 v_Y @ ( c_Message_Oparts @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @
% 14.76/2.71 tc_Message_Omsg)).
% 14.76/2.71 thf(zf_stmt_0, negated_conjecture,
% 14.76/2.71 (~( c_in @
% 14.76/2.71 v_Y @
% 14.76/2.71 ( c_Message_Oparts @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @
% 14.76/2.71 tc_Message_Omsg )),
% 14.76/2.71 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 14.76/2.71 thf(zip_derived_cl2, plain,
% 14.76/2.71 (~ (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)),
% 14.76/2.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.76/2.71 thf(cls_conjecture_1, conjecture,
% 14.76/2.71 (~( c_in @ v_X @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ))).
% 14.76/2.71 thf(zf_stmt_1, negated_conjecture,
% 14.76/2.71 (c_in @ v_X @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg),
% 14.76/2.71 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 14.76/2.71 thf(zip_derived_cl1, plain,
% 14.76/2.71 ( (c_in @ v_X @ (c_Message_Oparts @ v_H) @ tc_Message_Omsg)),
% 14.76/2.71 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.76/2.71 thf(zip_derived_cl1, plain,
% 14.76/2.71 ( (c_in @ v_X @ (c_Message_Oparts @ v_H) @ tc_Message_Omsg)),
% 14.76/2.71 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.76/2.71 thf(cls_Set_OsubsetI_0, axiom,
% 14.76/2.71 (( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_A @ T_a ) |
% 14.76/2.71 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 14.76/2.71 thf(zip_derived_cl7, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 ( (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X0 @ X2)
% 14.76/2.71 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 14.76/2.71 inference('cnf', [status(esa)], [cls_Set_OsubsetI_0])).
% 14.76/2.71 thf(cls_Message_Oparts__trans_0, axiom,
% 14.76/2.71 (( ~( c_in @ V_X @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) |
% 14.76/2.71 ( ~( c_lessequals @
% 14.76/2.71 V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_set @ tc_Message_Omsg ) ) ) |
% 14.76/2.71 ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ))).
% 14.76/2.71 thf(zip_derived_cl9, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (~ (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_lessequals @ X1 @ (c_Message_Oparts @ X2) @
% 14.76/2.71 (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | (c_in @ X0 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg))),
% 14.76/2.71 inference('cnf', [status(esa)], [cls_Message_Oparts__trans_0])).
% 14.76/2.71 thf(zip_derived_cl48, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.76/2.71 (((X1) != (X3))
% 14.76/2.71 | ((X2) != (c_Message_Oparts @ X5))
% 14.76/2.71 | ((tc_set @ X0) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | (c_in @ (c_Main_OsubsetI__1 @ X1 @ X2 @ X0) @ X1 @ X0)
% 14.76/2.71 | (c_in @ X4 @ (c_Message_Oparts @ X5) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ X4 @ (c_Message_Oparts @ X3) @ tc_Message_Omsg))),
% 14.76/2.71 inference('dp-resolution', [status(thm)],
% 14.76/2.71 [zip_derived_cl7, zip_derived_cl9])).
% 14.76/2.71 thf(zip_derived_cl73, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.76/2.71 (~ (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X1 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ (c_Main_OsubsetI__1 @ X0 @ X4 @ X3) @ X0 @ X3)
% 14.76/2.71 | ((tc_set @ X3) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | ((X4) != (c_Message_Oparts @ X2)))),
% 14.76/2.71 inference('eq_res', [status(thm)], [zip_derived_cl48])).
% 14.76/2.71 thf(zip_derived_cl88, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (((X0) != (c_Message_Oparts @ X1))
% 14.76/2.71 | ((tc_set @ X2) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | (c_in @ (c_Main_OsubsetI__1 @ v_H @ X0 @ X2) @ v_H @ X2)
% 14.76/2.71 | (c_in @ v_X @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl73])).
% 14.76/2.71 thf(zip_derived_cl90, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i]:
% 14.76/2.71 ( (c_in @ v_X @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ v_H @ (c_Message_Oparts @ X0) @ X1) @
% 14.76/2.71 v_H @ X1)
% 14.76/2.71 | ((tc_set @ X1) != (tc_set @ tc_Message_Omsg)))),
% 14.76/2.71 inference('eq_res', [status(thm)], [zip_derived_cl88])).
% 14.76/2.71 thf(cls_Set_OUnCI_0, axiom,
% 14.76/2.71 (( ~( c_in @ V_c @ V_B @ T_a ) ) |
% 14.76/2.71 ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ))).
% 14.76/2.71 thf(zip_derived_cl4, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.76/2.71 (~ (c_in @ X0 @ X1 @ X2)
% 14.76/2.71 | (c_in @ X0 @ (c_union @ X3 @ X1 @ X2) @ X2))),
% 14.76/2.71 inference('cnf', [status(esa)], [cls_Set_OUnCI_0])).
% 14.76/2.71 thf(cls_Message_Oparts_OInj_0, axiom,
% 14.76/2.71 (( ~( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) |
% 14.76/2.71 ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ))).
% 14.76/2.71 thf(zip_derived_cl3, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i]:
% 14.76/2.71 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.76/2.71 inference('cnf', [status(esa)], [cls_Message_Oparts_OInj_0])).
% 14.76/2.71 thf(cls_Set_OsubsetI_1, axiom,
% 14.76/2.71 (( ~( c_in @ ( c_Main_OsubsetI__1 @ V_A @ V_B @ T_a ) @ V_B @ T_a ) ) |
% 14.76/2.71 ( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ))).
% 14.76/2.71 thf(zip_derived_cl8, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 14.76/2.71 | (c_lessequals @ X0 @ X1 @ (tc_set @ X2)))),
% 14.76/2.71 inference('cnf', [status(esa)], [cls_Set_OsubsetI_1])).
% 14.76/2.71 thf(zip_derived_cl9, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (~ (c_in @ X0 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_lessequals @ X1 @ (c_Message_Oparts @ X2) @
% 14.76/2.71 (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | (c_in @ X0 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg))),
% 14.76/2.71 inference('cnf', [status(esa)], [cls_Message_Oparts__trans_0])).
% 14.76/2.71 thf(zip_derived_cl51, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.76/2.71 (((X2) != (X3))
% 14.76/2.71 | ((X1) != (c_Message_Oparts @ X5))
% 14.76/2.71 | ((tc_set @ X0) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | ~ (c_in @ (c_Main_OsubsetI__1 @ X2 @ X1 @ X0) @ X1 @ X0)
% 14.76/2.71 | (c_in @ X4 @ (c_Message_Oparts @ X5) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ X4 @ (c_Message_Oparts @ X3) @ tc_Message_Omsg))),
% 14.76/2.71 inference('dp-resolution', [status(thm)],
% 14.76/2.71 [zip_derived_cl8, zip_derived_cl9])).
% 14.76/2.71 thf(zip_derived_cl58, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.76/2.71 (~ (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X1 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X4 @ X3) @ X4 @ X3)
% 14.76/2.71 | ((tc_set @ X3) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | ((X4) != (c_Message_Oparts @ X2)))),
% 14.76/2.71 inference('eq_res', [status(thm)], [zip_derived_cl51])).
% 14.76/2.71 thf(zip_derived_cl59, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.76/2.71 (~ (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ X1 @ (c_Message_Oparts @ X0) @
% 14.76/2.71 tc_Message_Omsg) @
% 14.76/2.71 X0 @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ X0) != (c_Message_Oparts @ X2))
% 14.76/2.71 | ((tc_set @ tc_Message_Omsg) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | (c_in @ X3 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ X3 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl58])).
% 14.76/2.71 thf(zip_derived_cl66, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.76/2.71 (~ (c_in @ X3 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X3 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ X0) != (c_Message_Oparts @ X2))
% 14.76/2.71 | ~ (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ X1 @ (c_Message_Oparts @ X0) @
% 14.76/2.71 tc_Message_Omsg) @
% 14.76/2.71 X0 @ tc_Message_Omsg))),
% 14.76/2.71 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 14.76/2.71 thf(zip_derived_cl68, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.76/2.71 (~ (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ X2 @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ X1 @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg) @
% 14.76/2.71 X0 @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ (c_union @ X1 @ X0 @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X3))
% 14.76/2.71 | (c_in @ X4 @ (c_Message_Oparts @ X3) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ X4 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl66])).
% 14.76/2.71 thf(zip_derived_cl200, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (((tc_set @ tc_Message_Omsg) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | (c_in @ v_X @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ X0 @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ X1 @ (c_Message_Oparts @ v_H) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X1 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ (c_union @ X0 @ v_H @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X2)))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl68])).
% 14.76/2.71 thf(zip_derived_cl206, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (((c_Message_Oparts @ (c_union @ X0 @ v_H @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X2))
% 14.76/2.71 | (c_in @ X1 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ X1 @ (c_Message_Oparts @ v_H) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ v_X @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ X0 @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg))),
% 14.76/2.71 inference('simplify', [status(thm)], [zip_derived_cl200])).
% 14.76/2.71 thf(zip_derived_cl208, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i]:
% 14.76/2.71 ( (c_in @ v_X @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ X0 @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | (c_in @ v_X @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ (c_union @ X0 @ v_H @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X1)))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl206])).
% 14.76/2.71 thf(zip_derived_cl213, plain,
% 14.76/2.71 (![X0 : $i]:
% 14.76/2.71 ( (c_in @ v_X @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ X0 @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | (c_in @ v_X @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ X0 @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg))),
% 14.76/2.71 inference('eq_res', [status(thm)], [zip_derived_cl208])).
% 14.76/2.71 thf(zip_derived_cl214, plain,
% 14.76/2.71 (![X0 : $i]:
% 14.76/2.71 (c_in @ v_X @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ X0 @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)),
% 14.76/2.71 inference('simplify', [status(thm)], [zip_derived_cl213])).
% 14.76/2.71 thf(cls_conjecture_0, conjecture,
% 14.76/2.71 (~( c_in @
% 14.76/2.71 v_Y @
% 14.76/2.71 ( c_Message_Oparts @ ( c_insert @ v_X @ v_G @ tc_Message_Omsg ) ) @
% 14.76/2.71 tc_Message_Omsg ))).
% 14.76/2.71 thf(zf_stmt_2, negated_conjecture,
% 14.76/2.71 (c_in @
% 14.76/2.71 v_Y @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_G @ tc_Message_Omsg ) ) @
% 14.76/2.71 tc_Message_Omsg),
% 14.76/2.71 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 14.76/2.71 thf(zip_derived_cl0, plain,
% 14.76/2.71 ( (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_insert @ v_X @ v_G @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)),
% 14.76/2.71 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.76/2.71 thf(zip_derived_cl0, plain,
% 14.76/2.71 ( (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_insert @ v_X @ v_G @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)),
% 14.76/2.71 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.76/2.71 thf(cls_Set_OinsertE_0, axiom,
% 14.76/2.71 (( ~( c_in @ V_a @ ( c_insert @ V_b @ V_A @ T_a ) @ T_a ) ) |
% 14.76/2.71 ( c_in @ V_a @ V_A @ T_a ) | ( ( V_a ) = ( V_b ) ))).
% 14.76/2.71 thf(zip_derived_cl6, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.76/2.71 (~ (c_in @ X0 @ (c_insert @ X1 @ X2 @ X3) @ X3)
% 14.76/2.71 | (c_in @ X0 @ X2 @ X3)
% 14.76/2.71 | ((X0) = (X1)))),
% 14.76/2.71 inference('cnf', [status(esa)], [cls_Set_OinsertE_0])).
% 14.76/2.71 thf(zip_derived_cl0, plain,
% 14.76/2.71 ( (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_insert @ v_X @ v_G @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)),
% 14.76/2.71 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.76/2.71 thf(zip_derived_cl73, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.76/2.71 (~ (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X1 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ (c_Main_OsubsetI__1 @ X0 @ X4 @ X3) @ X0 @ X3)
% 14.76/2.71 | ((tc_set @ X3) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | ((X4) != (c_Message_Oparts @ X2)))),
% 14.76/2.71 inference('eq_res', [status(thm)], [zip_derived_cl48])).
% 14.76/2.71 thf(zip_derived_cl87, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (((X0) != (c_Message_Oparts @ X1))
% 14.76/2.71 | ((tc_set @ X2) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 X0 @ X2) @
% 14.76/2.71 (c_insert @ v_X @ v_G @ tc_Message_Omsg) @ X2)
% 14.76/2.71 | (c_in @ v_Y @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl73])).
% 14.76/2.71 thf(zip_derived_cl145, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i]:
% 14.76/2.71 ( (c_in @ v_Y @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 (c_Message_Oparts @ X0) @ X1) @
% 14.76/2.71 (c_insert @ v_X @ v_G @ tc_Message_Omsg) @ X1)
% 14.76/2.71 | ((tc_set @ X1) != (tc_set @ tc_Message_Omsg)))),
% 14.76/2.71 inference('eq_res', [status(thm)], [zip_derived_cl87])).
% 14.76/2.71 thf(zip_derived_cl379, plain,
% 14.76/2.71 (![X0 : $i]:
% 14.76/2.71 (((c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 (c_Message_Oparts @ X0) @ tc_Message_Omsg) = (v_X))
% 14.76/2.71 | (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 (c_Message_Oparts @ X0) @ tc_Message_Omsg) @
% 14.76/2.71 v_G @ tc_Message_Omsg)
% 14.76/2.71 | ((tc_set @ tc_Message_Omsg) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | (c_in @ v_Y @ (c_Message_Oparts @ X0) @ tc_Message_Omsg))),
% 14.76/2.71 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl145])).
% 14.76/2.71 thf(zip_derived_cl380, plain,
% 14.76/2.71 (![X0 : $i]:
% 14.76/2.71 ( (c_in @ v_Y @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 (c_Message_Oparts @ X0) @ tc_Message_Omsg) @
% 14.76/2.71 v_G @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 (c_Message_Oparts @ X0) @ tc_Message_Omsg) = (v_X)))),
% 14.76/2.71 inference('simplify', [status(thm)], [zip_derived_cl379])).
% 14.76/2.71 thf(cls_Set_OUnCI_1, axiom,
% 14.76/2.71 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 14.76/2.71 ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ))).
% 14.76/2.71 thf(zip_derived_cl5, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.76/2.71 (~ (c_in @ X0 @ X1 @ X2)
% 14.76/2.71 | (c_in @ X0 @ (c_union @ X1 @ X3 @ X2) @ X2))),
% 14.76/2.71 inference('cnf', [status(esa)], [cls_Set_OUnCI_1])).
% 14.76/2.71 thf(zip_derived_cl66, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.76/2.71 (~ (c_in @ X3 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X3 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ X0) != (c_Message_Oparts @ X2))
% 14.76/2.71 | ~ (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ X1 @ (c_Message_Oparts @ X0) @
% 14.76/2.71 tc_Message_Omsg) @
% 14.76/2.71 X0 @ tc_Message_Omsg))),
% 14.76/2.71 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 14.76/2.71 thf(zip_derived_cl69, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.76/2.71 (~ (c_in @
% 14.76/2.71 (c_Main_OsubsetI__1 @ X2 @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ X1 @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg) @
% 14.76/2.71 X1 @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ (c_union @ X1 @ X0 @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X3))
% 14.76/2.71 | (c_in @ X4 @ (c_Message_Oparts @ X3) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ X4 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl66])).
% 14.76/2.71 thf(zip_derived_cl502, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (((c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg) = (v_X))
% 14.76/2.71 | (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ X1 @
% 14.76/2.71 (c_Message_Oparts @ (c_insert @ v_X @ v_G @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X1 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X2)))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl380, zip_derived_cl69])).
% 14.76/2.71 thf(zip_derived_cl5956, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i]:
% 14.76/2.71 (((c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X1))
% 14.76/2.71 | (c_in @ v_Y @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | ((c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg) = (v_X)))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl502])).
% 14.76/2.71 thf(zip_derived_cl6014, plain,
% 14.76/2.71 (![X0 : $i]:
% 14.76/2.71 (((c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg) = (v_X))
% 14.76/2.71 | (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg))),
% 14.76/2.71 inference('eq_res', [status(thm)], [zip_derived_cl5956])).
% 14.76/2.71 thf(zip_derived_cl6015, plain,
% 14.76/2.71 (![X0 : $i]:
% 14.76/2.71 ( (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | ((c_Main_OsubsetI__1 @ (c_insert @ v_X @ v_G @ tc_Message_Omsg) @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg) = (v_X)))),
% 14.76/2.71 inference('simplify', [status(thm)], [zip_derived_cl6014])).
% 14.76/2.71 thf(zip_derived_cl58, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.76/2.71 (~ (c_in @ X1 @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X1 @ (c_Message_Oparts @ X2) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ (c_Main_OsubsetI__1 @ X0 @ X4 @ X3) @ X4 @ X3)
% 14.76/2.71 | ((tc_set @ X3) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | ((X4) != (c_Message_Oparts @ X2)))),
% 14.76/2.71 inference('eq_res', [status(thm)], [zip_derived_cl51])).
% 14.76/2.71 thf(zip_derived_cl6016, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (~ (c_in @ v_X @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X1))
% 14.76/2.71 | ((tc_set @ tc_Message_Omsg) != (tc_set @ tc_Message_Omsg))
% 14.76/2.71 | (c_in @ X2 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ X2 @
% 14.76/2.71 (c_Message_Oparts @ (c_insert @ v_X @ v_G @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl6015, zip_derived_cl58])).
% 14.76/2.71 thf(zip_derived_cl6029, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.76/2.71 (~ (c_in @ X2 @
% 14.76/2.71 (c_Message_Oparts @ (c_insert @ v_X @ v_G @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | (c_in @ X2 @ (c_Message_Oparts @ X1) @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X1))
% 14.76/2.71 | (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | ~ (c_in @ v_X @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg))),
% 14.76/2.71 inference('simplify', [status(thm)], [zip_derived_cl6016])).
% 14.76/2.71 thf(zip_derived_cl7301, plain,
% 14.76/2.71 (![X0 : $i, X1 : $i]:
% 14.76/2.71 (~ (c_in @ v_X @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ (c_union @ v_G @ X0 @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X1))
% 14.76/2.71 | (c_in @ v_Y @ (c_Message_Oparts @ X1) @ tc_Message_Omsg))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6029])).
% 14.76/2.71 thf(zip_derived_cl7311, plain,
% 14.76/2.71 (![X0 : $i]:
% 14.76/2.71 ( (c_in @ v_Y @ (c_Message_Oparts @ X0) @ tc_Message_Omsg)
% 14.76/2.71 | ((c_Message_Oparts @ (c_union @ v_G @ v_H @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X0))
% 14.76/2.71 | (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg))),
% 14.76/2.71 inference('sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl7301])).
% 14.76/2.71 thf(zip_derived_cl2, plain,
% 14.76/2.71 (~ (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)),
% 14.76/2.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.76/2.71 thf(zip_derived_cl7317, plain,
% 14.76/2.71 (![X0 : $i]:
% 14.76/2.71 (((c_Message_Oparts @ (c_union @ v_G @ v_H @ tc_Message_Omsg))
% 14.76/2.71 != (c_Message_Oparts @ X0))
% 14.76/2.71 | (c_in @ v_Y @ (c_Message_Oparts @ X0) @ tc_Message_Omsg))),
% 14.76/2.71 inference('clc', [status(thm)], [zip_derived_cl7311, zip_derived_cl2])).
% 14.76/2.71 thf(zip_derived_cl7318, plain,
% 14.76/2.71 ( (c_in @ v_Y @
% 14.76/2.71 (c_Message_Oparts @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 14.76/2.71 tc_Message_Omsg)),
% 14.76/2.71 inference('eq_res', [status(thm)], [zip_derived_cl7317])).
% 14.76/2.71 thf(zip_derived_cl7319, plain, ($false),
% 14.76/2.71 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl7318])).
% 14.76/2.71
% 14.76/2.71 % SZS output end Refutation
% 14.76/2.71
% 14.76/2.71
% 14.76/2.71 % Terminating...
% 14.76/2.77 % Runner terminated.
% 14.76/2.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------