%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV247-2 : 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.oQp1JDr8pO true
% Computer : n022.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 05:00:30 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.88s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV247-2 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oQp1JDr8pO true
% 0.13/0.34 % Computer : n022.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 : Wed Oct 1 12:39:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.54/0.67 % Total configuration time : 435
% 0.54/0.67 % Estimated wc time : 1092
% 0.54/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.88 % Solved by fo/fo1_av.sh.
% 0.59/0.88 % done 109 iterations in 0.058s
% 0.59/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.88 % SZS output start Refutation
% 0.59/0.88 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.59/0.88 thf(c_Message_Omsg_OCrypt_type, type, c_Message_Omsg_OCrypt: $i > $i > $i).
% 0.59/0.88 thf(v_H_type, type, v_H: $i).
% 0.59/0.88 thf(c_Message_Osynth_type, type, c_Message_Osynth: $i > $i).
% 0.59/0.88 thf(tc_Message_Omsg_type, type, tc_Message_Omsg: $i).
% 0.59/0.88 thf(c_union_type, type, c_union: $i > $i > $i > $i).
% 0.59/0.88 thf(v_G_type, type, v_G: $i).
% 0.59/0.88 thf(c_Message_Oanalz_type, type, c_Message_Oanalz: $i > $i).
% 0.59/0.88 thf(v_K_type, type, v_K: $i).
% 0.59/0.88 thf(c_Message_OinvKey_type, type, c_Message_OinvKey: $i > $i).
% 0.59/0.88 thf(v_X_type, type, v_X: $i).
% 0.59/0.88 thf(c_Message_Omsg_OKey_type, type, c_Message_Omsg_OKey: $i > $i).
% 0.59/0.88 thf(cls_Set_OUnCI_1, axiom,
% 0.59/0.88 (( ~( c_in @ V_c @ V_A @ T_a ) ) |
% 0.59/0.88 ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ))).
% 0.59/0.88 thf(zip_derived_cl5, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ X1 @ X2)
% 0.59/0.88 | (c_in @ X0 @ (c_union @ X1 @ X3 @ X2) @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Set_OUnCI_1])).
% 0.59/0.88 thf(cls_conjecture_4, conjecture,
% 0.59/0.88 (c_in @
% 0.59/0.88 v_X @
% 0.59/0.88 ( c_union @
% 0.59/0.88 ( c_Message_Oanalz @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @
% 0.59/0.88 ( c_Message_Osynth @ v_G ) @ tc_Message_Omsg ) @
% 0.59/0.88 tc_Message_Omsg)).
% 0.59/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.88 (~( c_in @
% 0.59/0.88 v_X @
% 0.59/0.88 ( c_union @
% 0.59/0.88 ( c_Message_Oanalz @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @
% 0.59/0.88 ( c_Message_Osynth @ v_G ) @ tc_Message_Omsg ) @
% 0.59/0.88 tc_Message_Omsg )),
% 0.59/0.88 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.59/0.88 thf(zip_derived_cl9, plain,
% 0.59/0.88 (~ (c_in @ v_X @
% 0.59/0.88 (c_union @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg) @
% 0.59/0.88 tc_Message_Omsg)),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.88 thf(zip_derived_cl12, plain,
% 0.59/0.88 (~ (c_in @ v_X @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl9])).
% 0.59/0.88 thf(cls_conjecture_1, conjecture,
% 0.59/0.88 (~( c_in @
% 0.59/0.88 ( c_Message_Omsg_OCrypt @ v_K @ v_X ) @
% 0.59/0.88 ( c_union @
% 0.59/0.88 ( c_Message_Oanalz @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @
% 0.59/0.88 ( c_Message_Osynth @ v_G ) @ tc_Message_Omsg ) @
% 0.59/0.88 tc_Message_Omsg ))).
% 0.59/0.88 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.88 (c_in @
% 0.59/0.88 ( c_Message_Omsg_OCrypt @ v_K @ v_X ) @
% 0.59/0.88 ( c_union @
% 0.59/0.88 ( c_Message_Oanalz @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @
% 0.59/0.88 ( c_Message_Osynth @ v_G ) @ tc_Message_Omsg ) @
% 0.59/0.88 tc_Message_Omsg),
% 0.59/0.88 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.59/0.88 thf(zip_derived_cl7, plain,
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_union @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg) @
% 0.59/0.88 tc_Message_Omsg)),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.88 thf(cls_Set_OUnE_0, axiom,
% 0.59/0.88 (( ~( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ) ) |
% 0.59/0.88 ( c_in @ V_c @ V_B @ T_a ) | ( c_in @ V_c @ V_A @ T_a ))).
% 0.59/0.88 thf(zip_derived_cl6, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3)
% 0.59/0.88 | (c_in @ X0 @ X2 @ X3)
% 0.59/0.88 | (c_in @ X0 @ X1 @ X3))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Set_OUnE_0])).
% 0.59/0.88 thf(zip_derived_cl25, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 0.59/0.88 thf(zip_derived_cl33, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)))),
% 0.59/0.88 inference('split', [status(esa)], [zip_derived_cl25])).
% 0.59/0.88 thf(cls_Message_OCrypt__synth_1, axiom,
% 0.59/0.88 (( ~( c_in @
% 0.59/0.88 ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @
% 0.59/0.88 tc_Message_Omsg ) ) |
% 0.59/0.88 ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) |
% 0.59/0.88 ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ))).
% 0.59/0.88 thf(zip_derived_cl0, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 0.59/0.88 (c_Message_Osynth @ X2) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X1 @ (c_Message_Osynth @ X2) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @ X2 @ tc_Message_Omsg))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Message_OCrypt__synth_1])).
% 0.59/0.88 thf(zip_derived_cl47, plain,
% 0.59/0.88 ((( (c_in @ v_X @ (c_Message_Osynth @ v_G) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @ v_G @ tc_Message_Omsg)))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 0.59/0.88 thf(cls_Set_OUnCI_0, axiom,
% 0.59/0.88 (( ~( c_in @ V_c @ V_B @ T_a ) ) |
% 0.59/0.88 ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a ))).
% 0.59/0.88 thf(zip_derived_cl4, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ X1 @ X2)
% 0.59/0.88 | (c_in @ X0 @ (c_union @ X3 @ X1 @ X2) @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Set_OUnCI_0])).
% 0.59/0.88 thf(zip_derived_cl9, plain,
% 0.59/0.88 (~ (c_in @ v_X @
% 0.59/0.88 (c_union @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg) @
% 0.59/0.88 tc_Message_Omsg)),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.88 thf(zip_derived_cl10, plain,
% 0.59/0.88 (~ (c_in @ v_X @ (c_Message_Osynth @ v_G) @ tc_Message_Omsg)),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl9])).
% 0.59/0.88 thf(zip_derived_cl48, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @ v_G @ tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl10])).
% 0.59/0.88 thf(cls_conjecture_3, conjecture,
% 0.59/0.88 (~( c_in @
% 0.59/0.88 ( c_Message_Omsg_OKey @ ( c_Message_OinvKey @ v_K ) ) @
% 0.59/0.88 ( c_union @
% 0.59/0.88 ( c_Message_Oanalz @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @
% 0.59/0.88 ( c_Message_Osynth @ v_G ) @ tc_Message_Omsg ) @
% 0.59/0.88 tc_Message_Omsg ))).
% 0.59/0.88 thf(zf_stmt_2, negated_conjecture,
% 0.59/0.88 (c_in @
% 0.59/0.88 ( c_Message_Omsg_OKey @ ( c_Message_OinvKey @ v_K ) ) @
% 0.59/0.88 ( c_union @
% 0.59/0.88 ( c_Message_Oanalz @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @
% 0.59/0.88 ( c_Message_Osynth @ v_G ) @ tc_Message_Omsg ) @
% 0.59/0.88 tc_Message_Omsg),
% 0.59/0.88 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.59/0.88 thf(zip_derived_cl8, plain,
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_union @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg) @
% 0.59/0.88 tc_Message_Omsg)),
% 0.59/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.88 thf(zip_derived_cl6, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ (c_union @ X1 @ X2 @ X3) @ X3)
% 0.59/0.88 | (c_in @ X0 @ X2 @ X3)
% 0.59/0.88 | (c_in @ X0 @ X1 @ X3))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Set_OUnE_0])).
% 0.59/0.88 thf(zip_derived_cl26, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 0.59/0.88 thf(zip_derived_cl42, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('split', [status(esa)], [zip_derived_cl26])).
% 0.59/0.88 thf(cls_Message_Oanalz_OInj_0, axiom,
% 0.59/0.88 (( ~( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) |
% 0.59/0.88 ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ))).
% 0.59/0.88 thf(zip_derived_cl3, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Message_Oanalz_OInj_0])).
% 0.59/0.88 thf(cls_Message_Oanalz_ODecrypt__dest_0, axiom,
% 0.59/0.88 (( ~( c_in @
% 0.59/0.88 ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @
% 0.59/0.88 tc_Message_Omsg ) ) |
% 0.59/0.88 ( ~( c_in @
% 0.59/0.88 ( c_Message_Omsg_OKey @ ( c_Message_OinvKey @ V_K ) ) @
% 0.59/0.88 ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) |
% 0.59/0.88 ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ))).
% 0.59/0.88 thf(zip_derived_cl1, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 0.59/0.88 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.59/0.88 | ~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ X0)) @
% 0.59/0.88 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X1 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Message_Oanalz_ODecrypt__dest_0])).
% 0.59/0.88 thf(zip_derived_cl20, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OCrypt @ X2 @ X1) @ X0 @ tc_Message_Omsg)
% 0.59/0.88 | ~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ X2)) @
% 0.59/0.88 (c_Message_Oanalz @ X0) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X1 @ (c_Message_Oanalz @ X0) @ tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.59/0.88 thf(zip_derived_cl45, plain,
% 0.59/0.88 ((![X0 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OCrypt @ v_K @ X0) @
% 0.59/0.88 (c_union @ v_G @ v_H @ tc_Message_Omsg) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X0 @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl20])).
% 0.59/0.88 thf(zip_derived_cl5, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ X1 @ X2)
% 0.59/0.88 | (c_in @ X0 @ (c_union @ X1 @ X3 @ X2) @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Set_OUnCI_1])).
% 0.59/0.88 thf(zip_derived_cl60, plain,
% 0.59/0.88 ((![X0 : $i]:
% 0.59/0.88 ( (c_in @ X0 @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)
% 0.59/0.88 | ~ (c_in @ (c_Message_Omsg_OCrypt @ v_K @ X0) @ v_G @
% 0.59/0.88 tc_Message_Omsg)))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl5])).
% 0.59/0.88 thf(zip_derived_cl12, plain,
% 0.59/0.88 (~ (c_in @ v_X @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl9])).
% 0.59/0.88 thf(zip_derived_cl78, plain,
% 0.59/0.88 ((~ (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @ v_G @ tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl12])).
% 0.59/0.88 thf(zip_derived_cl48, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @ v_G @ tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl10])).
% 0.59/0.88 thf('0', plain,
% 0.59/0.88 (~
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)) |
% 0.59/0.88 ~
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl48])).
% 0.59/0.88 thf(zip_derived_cl42, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('split', [status(esa)], [zip_derived_cl26])).
% 0.59/0.88 thf(zip_derived_cl32, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('split', [status(esa)], [zip_derived_cl25])).
% 0.59/0.88 thf(zip_derived_cl1, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OCrypt @ X0 @ X1) @
% 0.59/0.88 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.59/0.88 | ~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ X0)) @
% 0.59/0.88 (c_Message_Oanalz @ X2) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X1 @ (c_Message_Oanalz @ X2) @ tc_Message_Omsg))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Message_Oanalz_ODecrypt__dest_0])).
% 0.59/0.88 thf(zip_derived_cl34, plain,
% 0.59/0.88 (((~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)
% 0.59/0.88 | (c_in @ v_X @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 0.59/0.88 thf(zip_derived_cl12, plain,
% 0.59/0.88 (~ (c_in @ v_X @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl9])).
% 0.59/0.88 thf(zip_derived_cl35, plain,
% 0.59/0.88 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl12])).
% 0.59/0.88 thf('1', plain,
% 0.59/0.88 (~
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)) |
% 0.59/0.88 ~
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl35])).
% 0.59/0.88 thf('2', plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)) |
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))),
% 0.59/0.88 inference('split', [status(esa)], [zip_derived_cl26])).
% 0.59/0.88 thf(zip_derived_cl43, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)))),
% 0.59/0.88 inference('split', [status(esa)], [zip_derived_cl26])).
% 0.59/0.88 thf(cls_Message_OKey__synth_0, axiom,
% 0.59/0.88 (( ~( c_in @
% 0.59/0.88 ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @
% 0.59/0.88 tc_Message_Omsg ) ) |
% 0.59/0.88 ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ))).
% 0.59/0.88 thf(zip_derived_cl2, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OKey @ X0) @ (c_Message_Osynth @ X1) @
% 0.59/0.88 tc_Message_Omsg)
% 0.59/0.88 | (c_in @ (c_Message_Omsg_OKey @ X0) @ X1 @ tc_Message_Omsg))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Message_OKey__synth_0])).
% 0.59/0.88 thf(zip_derived_cl50, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @ v_G @
% 0.59/0.88 tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl2])).
% 0.59/0.88 thf(zip_derived_cl35, plain,
% 0.59/0.88 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl12])).
% 0.59/0.88 thf(zip_derived_cl3, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Message_Oanalz_OInj_0])).
% 0.59/0.88 thf(zip_derived_cl36, plain,
% 0.59/0.88 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_union @ v_G @ v_H @ tc_Message_Omsg) @ tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 0.59/0.88 thf(zip_derived_cl5, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ X1 @ X2)
% 0.59/0.88 | (c_in @ X0 @ (c_union @ X1 @ X3 @ X2) @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Set_OUnCI_1])).
% 0.59/0.88 thf(zip_derived_cl39, plain,
% 0.59/0.88 ((~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @ v_G @
% 0.59/0.88 tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)))),
% 0.59/0.88 inference('s_sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl5])).
% 0.59/0.88 thf('3', plain,
% 0.59/0.88 (~
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)) |
% 0.59/0.88 ~
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl39])).
% 0.59/0.88 thf('4', plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)) |
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ v_H @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))),
% 0.59/0.88 inference('split', [status(esa)], [zip_derived_cl25])).
% 0.59/0.88 thf('5', plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg))),
% 0.59/0.88 inference('sat_resolution*', [status(thm)], ['0', '1', '2', '3', '4'])).
% 0.59/0.88 thf(zip_derived_cl100, plain,
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OCrypt @ v_K @ v_X) @ v_G @ tc_Message_Omsg)),
% 0.59/0.88 inference('simpl_trail', [status(thm)], [zip_derived_cl48, '5'])).
% 0.59/0.88 thf(zip_derived_cl5, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ X1 @ X2)
% 0.59/0.88 | (c_in @ X0 @ (c_union @ X1 @ X3 @ X2) @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Set_OUnCI_1])).
% 0.59/0.88 thf(zip_derived_cl5, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ X1 @ X2)
% 0.59/0.88 | (c_in @ X0 @ (c_union @ X1 @ X3 @ X2) @ X2))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Set_OUnCI_1])).
% 0.59/0.88 thf(zip_derived_cl3, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i]:
% 0.59/0.88 (~ (c_in @ X0 @ X1 @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X0 @ (c_Message_Oanalz @ X1) @ tc_Message_Omsg))),
% 0.59/0.88 inference('cnf', [status(esa)], [cls_Message_Oanalz_OInj_0])).
% 0.59/0.88 thf(zip_derived_cl20, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OCrypt @ X2 @ X1) @ X0 @ tc_Message_Omsg)
% 0.59/0.88 | ~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ X2)) @
% 0.59/0.88 (c_Message_Oanalz @ X0) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X1 @ (c_Message_Oanalz @ X0) @ tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.59/0.88 thf(zip_derived_cl27, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ X1)) @ X0 @
% 0.59/0.88 tc_Message_Omsg)
% 0.59/0.88 | ~ (c_in @ (c_Message_Omsg_OCrypt @ X1 @ X2) @ X0 @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X2 @ (c_Message_Oanalz @ X0) @ tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl20])).
% 0.59/0.88 thf(zip_derived_cl30, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ X2)) @ X1 @
% 0.59/0.88 tc_Message_Omsg)
% 0.59/0.88 | ~ (c_in @ (c_Message_Omsg_OCrypt @ X2 @ X3) @
% 0.59/0.88 (c_union @ X1 @ X0 @ tc_Message_Omsg) @ tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X3 @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ X1 @ X0 @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl27])).
% 0.59/0.88 thf(zip_derived_cl88, plain,
% 0.59/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OCrypt @ X3 @ X2) @ X1 @ tc_Message_Omsg)
% 0.59/0.88 | ~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ X3)) @ X1 @
% 0.59/0.88 tc_Message_Omsg)
% 0.59/0.88 | (c_in @ X2 @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ X1 @ X0 @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl30])).
% 0.59/0.88 thf(zip_derived_cl195, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 (~ (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @ v_G @
% 0.59/0.88 tc_Message_Omsg)
% 0.59/0.88 | (c_in @ v_X @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl88])).
% 0.59/0.88 thf(zip_derived_cl50, plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @ v_G @
% 0.59/0.88 tc_Message_Omsg))
% 0.59/0.88 <= (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg)))),
% 0.59/0.88 inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl2])).
% 0.59/0.88 thf('6', plain,
% 0.59/0.88 (( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @
% 0.59/0.88 (c_Message_Osynth @ v_G) @ tc_Message_Omsg))),
% 0.59/0.88 inference('sat_resolution*', [status(thm)], ['0', '1', '4', '2'])).
% 0.59/0.88 thf(zip_derived_cl102, plain,
% 0.59/0.88 ( (c_in @ (c_Message_Omsg_OKey @ (c_Message_OinvKey @ v_K)) @ v_G @
% 0.59/0.88 tc_Message_Omsg)),
% 0.59/0.88 inference('simpl_trail', [status(thm)], [zip_derived_cl50, '6'])).
% 0.59/0.88 thf(zip_derived_cl198, plain,
% 0.59/0.88 (![X0 : $i]:
% 0.59/0.88 (c_in @ v_X @
% 0.59/0.88 (c_Message_Oanalz @ (c_union @ v_G @ X0 @ tc_Message_Omsg)) @
% 0.59/0.88 tc_Message_Omsg)),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl102])).
% 0.59/0.88 thf(zip_derived_cl199, plain, ($false),
% 0.59/0.88 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl198])).
% 0.59/0.88
% 0.59/0.88 % SZS output end Refutation
% 0.59/0.88
% 0.59/0.88
% 0.59/0.88 % Terminating...
% 0.60/0.98 % Runner terminated.
% 0.60/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------