%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWW950+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:08:49 AM UTC 2026
% Result : Theorem 150.63s 156.01s
% Output : Proof 152.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(ax0,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('theBenchmark.p',ax0) ).
fof(ax1,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('theBenchmark.p',ax1) ).
fof(ax2,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('theBenchmark.p',ax2) ).
fof(ax3,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('theBenchmark.p',ax3) ).
fof(ax4,axiom,
constr_CONST_0x30 != constr_ZERO,
file('theBenchmark.p',ax4) ).
fof(ax5,axiom,
constr_CONST_0x30 != name_c,
file('theBenchmark.p',ax5) ).
fof(ax6,axiom,
constr_CONST_0x30 != name_k0x30,
file('theBenchmark.p',ax6) ).
fof(ax7,axiom,
constr_CONST_0x30 != name_ki,
file('theBenchmark.p',ax7) ).
fof(ax8,axiom,
constr_CONST_0x30 != name_objective,
file('theBenchmark.p',ax8) ).
fof(ax9,axiom,
constr_CONST_1 != constr_CONST_2,
file('theBenchmark.p',ax9) ).
fof(ax10,axiom,
constr_CONST_1 != constr_CONST_3,
file('theBenchmark.p',ax10) ).
fof(ax11,axiom,
constr_CONST_1 != constr_CONST_4,
file('theBenchmark.p',ax11) ).
fof(ax12,axiom,
constr_CONST_1 != constr_ZERO,
file('theBenchmark.p',ax12) ).
fof(ax13,axiom,
constr_CONST_1 != name_c,
file('theBenchmark.p',ax13) ).
fof(ax14,axiom,
constr_CONST_1 != name_k0x30,
file('theBenchmark.p',ax14) ).
fof(ax15,axiom,
constr_CONST_1 != name_ki,
file('theBenchmark.p',ax15) ).
fof(ax16,axiom,
constr_CONST_1 != name_objective,
file('theBenchmark.p',ax16) ).
fof(ax17,axiom,
constr_CONST_2 != constr_CONST_3,
file('theBenchmark.p',ax17) ).
fof(ax18,axiom,
constr_CONST_2 != constr_CONST_4,
file('theBenchmark.p',ax18) ).
fof(ax19,axiom,
constr_CONST_2 != constr_ZERO,
file('theBenchmark.p',ax19) ).
fof(ax20,axiom,
constr_CONST_2 != name_c,
file('theBenchmark.p',ax20) ).
fof(ax21,axiom,
constr_CONST_2 != name_k0x30,
file('theBenchmark.p',ax21) ).
fof(ax22,axiom,
constr_CONST_2 != name_ki,
file('theBenchmark.p',ax22) ).
fof(ax23,axiom,
constr_CONST_2 != name_objective,
file('theBenchmark.p',ax23) ).
fof(ax24,axiom,
constr_CONST_3 != constr_CONST_4,
file('theBenchmark.p',ax24) ).
fof(ax25,axiom,
constr_CONST_3 != constr_ZERO,
file('theBenchmark.p',ax25) ).
fof(ax26,axiom,
constr_CONST_3 != name_c,
file('theBenchmark.p',ax26) ).
fof(ax27,axiom,
constr_CONST_3 != name_k0x30,
file('theBenchmark.p',ax27) ).
fof(ax28,axiom,
constr_CONST_3 != name_ki,
file('theBenchmark.p',ax28) ).
fof(ax29,axiom,
constr_CONST_3 != name_objective,
file('theBenchmark.p',ax29) ).
fof(ax30,axiom,
constr_CONST_4 != constr_ZERO,
file('theBenchmark.p',ax30) ).
fof(ax31,axiom,
constr_CONST_4 != name_c,
file('theBenchmark.p',ax31) ).
fof(ax32,axiom,
constr_CONST_4 != name_k0x30,
file('theBenchmark.p',ax32) ).
fof(ax33,axiom,
constr_CONST_4 != name_ki,
file('theBenchmark.p',ax33) ).
fof(ax34,axiom,
constr_CONST_4 != name_objective,
file('theBenchmark.p',ax34) ).
fof(ax35,axiom,
constr_ZERO != name_c,
file('theBenchmark.p',ax35) ).
fof(ax36,axiom,
constr_ZERO != name_k0x30,
file('theBenchmark.p',ax36) ).
fof(ax37,axiom,
constr_ZERO != name_ki,
file('theBenchmark.p',ax37) ).
fof(ax38,axiom,
constr_ZERO != name_objective,
file('theBenchmark.p',ax38) ).
fof(ax39,axiom,
name_c != name_k0x30,
file('theBenchmark.p',ax39) ).
fof(ax40,axiom,
name_c != name_ki,
file('theBenchmark.p',ax40) ).
fof(ax41,axiom,
name_c != name_objective,
file('theBenchmark.p',ax41) ).
fof(ax42,axiom,
name_k0x30 != name_ki,
file('theBenchmark.p',ax42) ).
fof(ax43,axiom,
name_k0x30 != name_objective,
file('theBenchmark.p',ax43) ).
fof(ax44,axiom,
name_ki != name_objective,
file('theBenchmark.p',ax44) ).
fof(ax45,axiom,
! [VAR_X_10X30] : constr_xor(VAR_X_10X30,VAR_X_10X30) = constr_ZERO,
file('theBenchmark.p',ax45) ).
fof(ax46,axiom,
! [VAR_X_9] : constr_xor(VAR_X_9,constr_ZERO) = VAR_X_9,
file('theBenchmark.p',ax46) ).
fof(ax47,axiom,
! [VAR_X_7,VAR_Y_8] : constr_xor(VAR_X_7,VAR_Y_8) = constr_xor(VAR_Y_8,VAR_X_7),
file('theBenchmark.p',ax47) ).
fof(ax48,axiom,
! [VAR_X_0X30,VAR_Y_0X30,VAR_Z_0X30] : constr_xor(VAR_X_0X30,constr_xor(VAR_Y_0X30,VAR_Z_0X30)) = constr_xor(constr_xor(VAR_X_0X30,VAR_Y_0X30),VAR_Z_0X30),
file('theBenchmark.p',ax48) ).
fof(ax49,axiom,
! [VAR_V_29,VAR_V_30X30] :
( ( pred_attacker(VAR_V_30X30)
& pred_attacker(VAR_V_29) )
=> pred_attacker(constr_xor(VAR_V_29,VAR_V_30X30)) ),
file('theBenchmark.p',ax49) ).
fof(ax50,axiom,
pred_attacker(tuple_true),
file('theBenchmark.p',ax50) ).
fof(ax51,axiom,
! [VAR_V_33] :
( pred_attacker(VAR_V_33)
=> pred_attacker(constr_h(VAR_V_33)) ),
file('theBenchmark.p',ax51) ).
fof(ax52,axiom,
pred_attacker(tuple_false),
file('theBenchmark.p',ax52) ).
fof(ax53,axiom,
pred_attacker(constr_ZERO),
file('theBenchmark.p',ax53) ).
fof(ax54,axiom,
! [VAR_V_35] :
( pred_attacker(VAR_V_35)
=> pred_attacker(tuple_T_out_4(VAR_V_35)) ),
file('theBenchmark.p',ax54) ).
fof(ax55,axiom,
! [VAR_V_38] :
( pred_attacker(tuple_T_out_4(VAR_V_38))
=> pred_attacker(VAR_V_38) ),
file('theBenchmark.p',ax55) ).
fof(ax56,axiom,
! [VAR_V_41] :
( pred_attacker(VAR_V_41)
=> pred_attacker(tuple_T_out_2(VAR_V_41)) ),
file('theBenchmark.p',ax56) ).
fof(ax57,axiom,
! [VAR_V_44] :
( pred_attacker(tuple_T_out_2(VAR_V_44))
=> pred_attacker(VAR_V_44) ),
file('theBenchmark.p',ax57) ).
fof(ax58,axiom,
! [VAR_V_48,VAR_V_49] :
( ( pred_attacker(VAR_V_49)
& pred_attacker(VAR_V_48) )
=> pred_attacker(tuple_T_in_3(VAR_V_48,VAR_V_49)) ),
file('theBenchmark.p',ax58) ).
fof(ax59,axiom,
! [VAR_V_56,VAR_V_57] :
( pred_attacker(tuple_T_in_3(VAR_V_56,VAR_V_57))
=> pred_attacker(VAR_V_56) ),
file('theBenchmark.p',ax59) ).
fof(ax60,axiom,
! [VAR_V_59,VAR_V_60X30] :
( pred_attacker(tuple_T_in_3(VAR_V_59,VAR_V_60X30))
=> pred_attacker(VAR_V_60X30) ),
file('theBenchmark.p',ax60) ).
fof(ax61,axiom,
! [VAR_V_63] :
( pred_attacker(VAR_V_63)
=> pred_attacker(tuple_T_in_1(VAR_V_63)) ),
file('theBenchmark.p',ax61) ).
fof(ax62,axiom,
! [VAR_V_66] :
( pred_attacker(tuple_T_in_1(VAR_V_66))
=> pred_attacker(VAR_V_66) ),
file('theBenchmark.p',ax62) ).
fof(ax63,axiom,
pred_attacker(constr_CONST_4),
file('theBenchmark.p',ax63) ).
fof(ax64,axiom,
pred_attacker(constr_CONST_3),
file('theBenchmark.p',ax64) ).
fof(ax65,axiom,
pred_attacker(constr_CONST_2),
file('theBenchmark.p',ax65) ).
fof(ax66,axiom,
pred_attacker(constr_CONST_1),
file('theBenchmark.p',ax66) ).
fof(ax67,axiom,
pred_attacker(constr_CONST_0x30),
file('theBenchmark.p',ax67) ).
fof(ax68,axiom,
! [VAR_V_72,VAR_V_73] :
( ( pred_attacker(VAR_V_73)
& pred_mess(VAR_V_73,VAR_V_72) )
=> pred_attacker(VAR_V_72) ),
file('theBenchmark.p',ax68) ).
fof(ax69,axiom,
! [VAR_V_74,VAR_V_75] :
( ( pred_attacker(VAR_V_74)
& pred_attacker(VAR_V_75) )
=> pred_mess(VAR_V_75,VAR_V_74) ),
file('theBenchmark.p',ax69) ).
fof(ax70,axiom,
pred_attacker(name_c),
file('theBenchmark.p',ax70) ).
fof(ax71,axiom,
! [VAR_V_77] : pred_equal(VAR_V_77,VAR_V_77),
file('theBenchmark.p',ax71) ).
fof(ax72,axiom,
! [VAR_V_78] : pred_attacker(name_new0x2Dname(VAR_V_78)),
file('theBenchmark.p',ax72) ).
fof(ax73,axiom,
! [VAR_R_10X308] :
( pred_attacker(tuple_T_in_1(VAR_R_10X308))
=> pred_attacker(tuple_T_out_2(constr_h(constr_xor(VAR_R_10X308,constr_xor(name_k0x30,name_ki))))) ),
file('theBenchmark.p',ax73) ).
fof(ax74,axiom,
! [VAR_A_143,VAR_R_144] :
( ( pred_attacker(tuple_T_in_1(VAR_R_144))
& pred_attacker(tuple_T_in_3(VAR_A_143,constr_h(constr_xor(VAR_A_143,constr_xor(name_k0x30,name_ki))))) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('theBenchmark.p',ax74) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('theBenchmark.p',co0) ).
fof(f_1_1,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(fof_nnf,[status(thm)],[ax0]) ).
fof(f_1_2,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(definitional_conversion,[status(esa)],[f_1_1]) ).
cnf(f_1_3,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(fof_nnf,[status(thm)],[ax1]) ).
fof(f_2_2,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(definitional_conversion,[status(esa)],[f_2_1]) ).
cnf(f_2_3,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(fof_nnf,[status(thm)],[ax2]) ).
fof(f_3_2,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(definitional_conversion,[status(esa)],[f_3_1]) ).
cnf(f_3_3,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(fof_nnf,[status(thm)],[ax3]) ).
fof(f_4_2,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(definitional_conversion,[status(esa)],[f_4_1]) ).
cnf(f_4_3,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
constr_CONST_0x30 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax4]) ).
fof(f_5_2,plain,
constr_CONST_0x30 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_5_1]) ).
cnf(f_5_3,plain,
constr_CONST_0x30 != constr_ZERO,
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
constr_CONST_0x30 != name_c,
inference(fof_nnf,[status(thm)],[ax5]) ).
fof(f_6_2,plain,
constr_CONST_0x30 != name_c,
inference(definitional_conversion,[status(esa)],[f_6_1]) ).
cnf(f_6_3,plain,
constr_CONST_0x30 != name_c,
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
constr_CONST_0x30 != name_k0x30,
inference(fof_nnf,[status(thm)],[ax6]) ).
fof(f_7_2,plain,
constr_CONST_0x30 != name_k0x30,
inference(definitional_conversion,[status(esa)],[f_7_1]) ).
cnf(f_7_3,plain,
constr_CONST_0x30 != name_k0x30,
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
constr_CONST_0x30 != name_ki,
inference(fof_nnf,[status(thm)],[ax7]) ).
fof(f_8_2,plain,
constr_CONST_0x30 != name_ki,
inference(definitional_conversion,[status(esa)],[f_8_1]) ).
cnf(f_8_3,plain,
constr_CONST_0x30 != name_ki,
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
constr_CONST_0x30 != name_objective,
inference(fof_nnf,[status(thm)],[ax8]) ).
fof(f_9_2,plain,
constr_CONST_0x30 != name_objective,
inference(definitional_conversion,[status(esa)],[f_9_1]) ).
cnf(f_9_3,plain,
constr_CONST_0x30 != name_objective,
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
constr_CONST_1 != constr_CONST_2,
inference(fof_nnf,[status(thm)],[ax9]) ).
fof(f_10_2,plain,
constr_CONST_1 != constr_CONST_2,
inference(definitional_conversion,[status(esa)],[f_10_1]) ).
cnf(f_10_3,plain,
constr_CONST_1 != constr_CONST_2,
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
constr_CONST_1 != constr_CONST_3,
inference(fof_nnf,[status(thm)],[ax10]) ).
fof(f_11_2,plain,
constr_CONST_1 != constr_CONST_3,
inference(definitional_conversion,[status(esa)],[f_11_1]) ).
cnf(f_11_3,plain,
constr_CONST_1 != constr_CONST_3,
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
constr_CONST_1 != constr_CONST_4,
inference(fof_nnf,[status(thm)],[ax11]) ).
fof(f_12_2,plain,
constr_CONST_1 != constr_CONST_4,
inference(definitional_conversion,[status(esa)],[f_12_1]) ).
cnf(f_12_3,plain,
constr_CONST_1 != constr_CONST_4,
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
constr_CONST_1 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax12]) ).
fof(f_13_2,plain,
constr_CONST_1 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_13_1]) ).
cnf(f_13_3,plain,
constr_CONST_1 != constr_ZERO,
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
constr_CONST_1 != name_c,
inference(fof_nnf,[status(thm)],[ax13]) ).
fof(f_14_2,plain,
constr_CONST_1 != name_c,
inference(definitional_conversion,[status(esa)],[f_14_1]) ).
cnf(f_14_3,plain,
constr_CONST_1 != name_c,
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
constr_CONST_1 != name_k0x30,
inference(fof_nnf,[status(thm)],[ax14]) ).
fof(f_15_2,plain,
constr_CONST_1 != name_k0x30,
inference(definitional_conversion,[status(esa)],[f_15_1]) ).
cnf(f_15_3,plain,
constr_CONST_1 != name_k0x30,
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
constr_CONST_1 != name_ki,
inference(fof_nnf,[status(thm)],[ax15]) ).
fof(f_16_2,plain,
constr_CONST_1 != name_ki,
inference(definitional_conversion,[status(esa)],[f_16_1]) ).
cnf(f_16_3,plain,
constr_CONST_1 != name_ki,
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
constr_CONST_1 != name_objective,
inference(fof_nnf,[status(thm)],[ax16]) ).
fof(f_17_2,plain,
constr_CONST_1 != name_objective,
inference(definitional_conversion,[status(esa)],[f_17_1]) ).
cnf(f_17_3,plain,
constr_CONST_1 != name_objective,
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
constr_CONST_2 != constr_CONST_3,
inference(fof_nnf,[status(thm)],[ax17]) ).
fof(f_18_2,plain,
constr_CONST_2 != constr_CONST_3,
inference(definitional_conversion,[status(esa)],[f_18_1]) ).
cnf(f_18_3,plain,
constr_CONST_2 != constr_CONST_3,
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
constr_CONST_2 != constr_CONST_4,
inference(fof_nnf,[status(thm)],[ax18]) ).
fof(f_19_2,plain,
constr_CONST_2 != constr_CONST_4,
inference(definitional_conversion,[status(esa)],[f_19_1]) ).
cnf(f_19_3,plain,
constr_CONST_2 != constr_CONST_4,
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
constr_CONST_2 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax19]) ).
fof(f_20_2,plain,
constr_CONST_2 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_20_1]) ).
cnf(f_20_3,plain,
constr_CONST_2 != constr_ZERO,
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
constr_CONST_2 != name_c,
inference(fof_nnf,[status(thm)],[ax20]) ).
fof(f_21_2,plain,
constr_CONST_2 != name_c,
inference(definitional_conversion,[status(esa)],[f_21_1]) ).
cnf(f_21_3,plain,
constr_CONST_2 != name_c,
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_1,plain,
constr_CONST_2 != name_k0x30,
inference(fof_nnf,[status(thm)],[ax21]) ).
fof(f_22_2,plain,
constr_CONST_2 != name_k0x30,
inference(definitional_conversion,[status(esa)],[f_22_1]) ).
cnf(f_22_3,plain,
constr_CONST_2 != name_k0x30,
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
constr_CONST_2 != name_ki,
inference(fof_nnf,[status(thm)],[ax22]) ).
fof(f_23_2,plain,
constr_CONST_2 != name_ki,
inference(definitional_conversion,[status(esa)],[f_23_1]) ).
cnf(f_23_3,plain,
constr_CONST_2 != name_ki,
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
constr_CONST_2 != name_objective,
inference(fof_nnf,[status(thm)],[ax23]) ).
fof(f_24_2,plain,
constr_CONST_2 != name_objective,
inference(definitional_conversion,[status(esa)],[f_24_1]) ).
cnf(f_24_3,plain,
constr_CONST_2 != name_objective,
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
constr_CONST_3 != constr_CONST_4,
inference(fof_nnf,[status(thm)],[ax24]) ).
fof(f_25_2,plain,
constr_CONST_3 != constr_CONST_4,
inference(definitional_conversion,[status(esa)],[f_25_1]) ).
cnf(f_25_3,plain,
constr_CONST_3 != constr_CONST_4,
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
constr_CONST_3 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax25]) ).
fof(f_26_2,plain,
constr_CONST_3 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_26_1]) ).
cnf(f_26_3,plain,
constr_CONST_3 != constr_ZERO,
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
constr_CONST_3 != name_c,
inference(fof_nnf,[status(thm)],[ax26]) ).
fof(f_27_2,plain,
constr_CONST_3 != name_c,
inference(definitional_conversion,[status(esa)],[f_27_1]) ).
cnf(f_27_3,plain,
constr_CONST_3 != name_c,
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
constr_CONST_3 != name_k0x30,
inference(fof_nnf,[status(thm)],[ax27]) ).
fof(f_28_2,plain,
constr_CONST_3 != name_k0x30,
inference(definitional_conversion,[status(esa)],[f_28_1]) ).
cnf(f_28_3,plain,
constr_CONST_3 != name_k0x30,
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
constr_CONST_3 != name_ki,
inference(fof_nnf,[status(thm)],[ax28]) ).
fof(f_29_2,plain,
constr_CONST_3 != name_ki,
inference(definitional_conversion,[status(esa)],[f_29_1]) ).
cnf(f_29_3,plain,
constr_CONST_3 != name_ki,
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
constr_CONST_3 != name_objective,
inference(fof_nnf,[status(thm)],[ax29]) ).
fof(f_30_2,plain,
constr_CONST_3 != name_objective,
inference(definitional_conversion,[status(esa)],[f_30_1]) ).
cnf(f_30_3,plain,
constr_CONST_3 != name_objective,
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
constr_CONST_4 != constr_ZERO,
inference(fof_nnf,[status(thm)],[ax30]) ).
fof(f_31_2,plain,
constr_CONST_4 != constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_31_1]) ).
cnf(f_31_3,plain,
constr_CONST_4 != constr_ZERO,
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
constr_CONST_4 != name_c,
inference(fof_nnf,[status(thm)],[ax31]) ).
fof(f_32_2,plain,
constr_CONST_4 != name_c,
inference(definitional_conversion,[status(esa)],[f_32_1]) ).
cnf(f_32_3,plain,
constr_CONST_4 != name_c,
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
constr_CONST_4 != name_k0x30,
inference(fof_nnf,[status(thm)],[ax32]) ).
fof(f_33_2,plain,
constr_CONST_4 != name_k0x30,
inference(definitional_conversion,[status(esa)],[f_33_1]) ).
cnf(f_33_3,plain,
constr_CONST_4 != name_k0x30,
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
constr_CONST_4 != name_ki,
inference(fof_nnf,[status(thm)],[ax33]) ).
fof(f_34_2,plain,
constr_CONST_4 != name_ki,
inference(definitional_conversion,[status(esa)],[f_34_1]) ).
cnf(f_34_3,plain,
constr_CONST_4 != name_ki,
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
constr_CONST_4 != name_objective,
inference(fof_nnf,[status(thm)],[ax34]) ).
fof(f_35_2,plain,
constr_CONST_4 != name_objective,
inference(definitional_conversion,[status(esa)],[f_35_1]) ).
cnf(f_35_3,plain,
constr_CONST_4 != name_objective,
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
constr_ZERO != name_c,
inference(fof_nnf,[status(thm)],[ax35]) ).
fof(f_36_2,plain,
constr_ZERO != name_c,
inference(definitional_conversion,[status(esa)],[f_36_1]) ).
cnf(f_36_3,plain,
constr_ZERO != name_c,
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
constr_ZERO != name_k0x30,
inference(fof_nnf,[status(thm)],[ax36]) ).
fof(f_37_2,plain,
constr_ZERO != name_k0x30,
inference(definitional_conversion,[status(esa)],[f_37_1]) ).
cnf(f_37_3,plain,
constr_ZERO != name_k0x30,
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
constr_ZERO != name_ki,
inference(fof_nnf,[status(thm)],[ax37]) ).
fof(f_38_2,plain,
constr_ZERO != name_ki,
inference(definitional_conversion,[status(esa)],[f_38_1]) ).
cnf(f_38_3,plain,
constr_ZERO != name_ki,
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
constr_ZERO != name_objective,
inference(fof_nnf,[status(thm)],[ax38]) ).
fof(f_39_2,plain,
constr_ZERO != name_objective,
inference(definitional_conversion,[status(esa)],[f_39_1]) ).
cnf(f_39_3,plain,
constr_ZERO != name_objective,
inference(clausify,[status(thm)],[f_39_2]) ).
fof(f_40_1,plain,
name_c != name_k0x30,
inference(fof_nnf,[status(thm)],[ax39]) ).
fof(f_40_2,plain,
name_c != name_k0x30,
inference(definitional_conversion,[status(esa)],[f_40_1]) ).
cnf(f_40_3,plain,
name_c != name_k0x30,
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
name_c != name_ki,
inference(fof_nnf,[status(thm)],[ax40]) ).
fof(f_41_2,plain,
name_c != name_ki,
inference(definitional_conversion,[status(esa)],[f_41_1]) ).
cnf(f_41_3,plain,
name_c != name_ki,
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
name_c != name_objective,
inference(fof_nnf,[status(thm)],[ax41]) ).
fof(f_42_2,plain,
name_c != name_objective,
inference(definitional_conversion,[status(esa)],[f_42_1]) ).
cnf(f_42_3,plain,
name_c != name_objective,
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
name_k0x30 != name_ki,
inference(fof_nnf,[status(thm)],[ax42]) ).
fof(f_43_2,plain,
name_k0x30 != name_ki,
inference(definitional_conversion,[status(esa)],[f_43_1]) ).
cnf(f_43_3,plain,
name_k0x30 != name_ki,
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,plain,
name_k0x30 != name_objective,
inference(fof_nnf,[status(thm)],[ax43]) ).
fof(f_44_2,plain,
name_k0x30 != name_objective,
inference(definitional_conversion,[status(esa)],[f_44_1]) ).
cnf(f_44_3,plain,
name_k0x30 != name_objective,
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
name_ki != name_objective,
inference(fof_nnf,[status(thm)],[ax44]) ).
fof(f_45_2,plain,
name_ki != name_objective,
inference(definitional_conversion,[status(esa)],[f_45_1]) ).
cnf(f_45_3,plain,
name_ki != name_objective,
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
! [VAR_X_10X30] : constr_xor(VAR_X_10X30,VAR_X_10X30) = constr_ZERO,
inference(fof_nnf,[status(thm)],[ax45]) ).
fof(f_46_2,plain,
! [U_0] : constr_xor(U_0,U_0) = constr_ZERO,
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
! [U_0] : constr_xor(U_0,U_0) = constr_ZERO,
inference(definitional_conversion,[status(esa)],[f_46_2]) ).
cnf(f_46_4,plain,
constr_xor(U_0,U_0) = constr_ZERO,
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_1,plain,
! [VAR_X_9] : constr_xor(VAR_X_9,constr_ZERO) = VAR_X_9,
inference(fof_nnf,[status(thm)],[ax46]) ).
fof(f_47_2,plain,
! [U_1] : constr_xor(U_1,constr_ZERO) = U_1,
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
! [U_1] : constr_xor(U_1,constr_ZERO) = U_1,
inference(definitional_conversion,[status(esa)],[f_47_2]) ).
cnf(f_47_4,plain,
constr_xor(U_1,constr_ZERO) = U_1,
inference(clausify,[status(thm)],[f_47_3]) ).
fof(f_48_1,plain,
! [VAR_X_7,VAR_Y_8] : constr_xor(VAR_X_7,VAR_Y_8) = constr_xor(VAR_Y_8,VAR_X_7),
inference(fof_nnf,[status(thm)],[ax47]) ).
fof(f_48_2,plain,
! [U_3,U_2] : constr_xor(U_3,U_2) = constr_xor(U_2,U_3),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
! [U_2,U_3] : constr_xor(U_3,U_2) = constr_xor(U_2,U_3),
inference(definitional_conversion,[status(esa)],[f_48_2]) ).
cnf(f_48_4,plain,
constr_xor(U_3,U_2) = constr_xor(U_2,U_3),
inference(clausify,[status(thm)],[f_48_3]) ).
fof(f_49_1,plain,
! [VAR_X_0X30,VAR_Y_0X30,VAR_Z_0X30] : constr_xor(VAR_X_0X30,constr_xor(VAR_Y_0X30,VAR_Z_0X30)) = constr_xor(constr_xor(VAR_X_0X30,VAR_Y_0X30),VAR_Z_0X30),
inference(fof_nnf,[status(thm)],[ax48]) ).
fof(f_49_2,plain,
! [U_6,U_5,U_4] : constr_xor(U_6,constr_xor(U_5,U_4)) = constr_xor(constr_xor(U_6,U_5),U_4),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
! [U_4,U_5,U_6] : constr_xor(U_6,constr_xor(U_5,U_4)) = constr_xor(constr_xor(U_6,U_5),U_4),
inference(definitional_conversion,[status(esa)],[f_49_2]) ).
cnf(f_49_4,plain,
constr_xor(U_6,constr_xor(U_5,U_4)) = constr_xor(constr_xor(U_6,U_5),U_4),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_50_1,plain,
! [VAR_V_29,VAR_V_30X30] :
( pred_attacker(constr_xor(VAR_V_29,VAR_V_30X30))
| ~ pred_attacker(VAR_V_30X30)
| ~ pred_attacker(VAR_V_29) ),
inference(fof_nnf,[status(thm)],[ax49]) ).
fof(f_50_2,plain,
! [U_8,U_7] :
( pred_attacker(constr_xor(U_8,U_7))
| ~ pred_attacker(U_7)
| ~ pred_attacker(U_8) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
! [U_7,U_8] :
( pred_attacker(constr_xor(U_8,U_7))
| ~ pred_attacker(U_7)
| ~ pred_attacker(U_8) ),
inference(definitional_conversion,[status(esa)],[f_50_2]) ).
cnf(f_50_4,plain,
( pred_attacker(constr_xor(U_8,U_7))
| ~ pred_attacker(U_7)
| ~ pred_attacker(U_8) ),
inference(clausify,[status(thm)],[f_50_3]) ).
fof(f_51_1,plain,
pred_attacker(tuple_true),
inference(fof_nnf,[status(thm)],[ax50]) ).
fof(f_51_2,plain,
pred_attacker(tuple_true),
inference(definitional_conversion,[status(esa)],[f_51_1]) ).
cnf(f_51_3,plain,
pred_attacker(tuple_true),
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,plain,
! [VAR_V_33] :
( pred_attacker(constr_h(VAR_V_33))
| ~ pred_attacker(VAR_V_33) ),
inference(fof_nnf,[status(thm)],[ax51]) ).
fof(f_52_2,plain,
! [U_9] :
( pred_attacker(constr_h(U_9))
| ~ pred_attacker(U_9) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
! [U_9] :
( pred_attacker(constr_h(U_9))
| ~ pred_attacker(U_9) ),
inference(definitional_conversion,[status(esa)],[f_52_2]) ).
cnf(f_52_4,plain,
( pred_attacker(constr_h(U_9))
| ~ pred_attacker(U_9) ),
inference(clausify,[status(thm)],[f_52_3]) ).
fof(f_53_1,plain,
pred_attacker(tuple_false),
inference(fof_nnf,[status(thm)],[ax52]) ).
fof(f_53_2,plain,
pred_attacker(tuple_false),
inference(definitional_conversion,[status(esa)],[f_53_1]) ).
cnf(f_53_3,plain,
pred_attacker(tuple_false),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
pred_attacker(constr_ZERO),
inference(fof_nnf,[status(thm)],[ax53]) ).
fof(f_54_2,plain,
pred_attacker(constr_ZERO),
inference(definitional_conversion,[status(esa)],[f_54_1]) ).
cnf(f_54_3,plain,
pred_attacker(constr_ZERO),
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_55_1,plain,
! [VAR_V_35] :
( pred_attacker(tuple_T_out_4(VAR_V_35))
| ~ pred_attacker(VAR_V_35) ),
inference(fof_nnf,[status(thm)],[ax54]) ).
fof(f_55_2,plain,
! [U_10] :
( pred_attacker(tuple_T_out_4(U_10))
| ~ pred_attacker(U_10) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
! [U_10] :
( pred_attacker(tuple_T_out_4(U_10))
| ~ pred_attacker(U_10) ),
inference(definitional_conversion,[status(esa)],[f_55_2]) ).
cnf(f_55_4,plain,
( pred_attacker(tuple_T_out_4(U_10))
| ~ pred_attacker(U_10) ),
inference(clausify,[status(thm)],[f_55_3]) ).
fof(f_56_1,plain,
! [VAR_V_38] :
( pred_attacker(VAR_V_38)
| ~ pred_attacker(tuple_T_out_4(VAR_V_38)) ),
inference(fof_nnf,[status(thm)],[ax55]) ).
fof(f_56_2,plain,
! [U_11] :
( pred_attacker(U_11)
| ~ pred_attacker(tuple_T_out_4(U_11)) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
! [U_11] :
( pred_attacker(U_11)
| ~ pred_attacker(tuple_T_out_4(U_11)) ),
inference(definitional_conversion,[status(esa)],[f_56_2]) ).
cnf(f_56_4,plain,
( pred_attacker(U_11)
| ~ pred_attacker(tuple_T_out_4(U_11)) ),
inference(clausify,[status(thm)],[f_56_3]) ).
fof(f_57_1,plain,
! [VAR_V_41] :
( pred_attacker(tuple_T_out_2(VAR_V_41))
| ~ pred_attacker(VAR_V_41) ),
inference(fof_nnf,[status(thm)],[ax56]) ).
fof(f_57_2,plain,
! [U_12] :
( pred_attacker(tuple_T_out_2(U_12))
| ~ pred_attacker(U_12) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
! [U_12] :
( pred_attacker(tuple_T_out_2(U_12))
| ~ pred_attacker(U_12) ),
inference(definitional_conversion,[status(esa)],[f_57_2]) ).
cnf(f_57_4,plain,
( pred_attacker(tuple_T_out_2(U_12))
| ~ pred_attacker(U_12) ),
inference(clausify,[status(thm)],[f_57_3]) ).
fof(f_58_1,plain,
! [VAR_V_44] :
( pred_attacker(VAR_V_44)
| ~ pred_attacker(tuple_T_out_2(VAR_V_44)) ),
inference(fof_nnf,[status(thm)],[ax57]) ).
fof(f_58_2,plain,
! [U_13] :
( pred_attacker(U_13)
| ~ pred_attacker(tuple_T_out_2(U_13)) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
! [U_13] :
( pred_attacker(U_13)
| ~ pred_attacker(tuple_T_out_2(U_13)) ),
inference(definitional_conversion,[status(esa)],[f_58_2]) ).
cnf(f_58_4,plain,
( pred_attacker(U_13)
| ~ pred_attacker(tuple_T_out_2(U_13)) ),
inference(clausify,[status(thm)],[f_58_3]) ).
fof(f_59_1,plain,
! [VAR_V_48,VAR_V_49] :
( pred_attacker(tuple_T_in_3(VAR_V_48,VAR_V_49))
| ~ pred_attacker(VAR_V_49)
| ~ pred_attacker(VAR_V_48) ),
inference(fof_nnf,[status(thm)],[ax58]) ).
fof(f_59_2,plain,
! [U_15,U_14] :
( pred_attacker(tuple_T_in_3(U_15,U_14))
| ~ pred_attacker(U_14)
| ~ pred_attacker(U_15) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
! [U_14,U_15] :
( pred_attacker(tuple_T_in_3(U_15,U_14))
| ~ pred_attacker(U_14)
| ~ pred_attacker(U_15) ),
inference(definitional_conversion,[status(esa)],[f_59_2]) ).
cnf(f_59_4,plain,
( pred_attacker(tuple_T_in_3(U_15,U_14))
| ~ pred_attacker(U_14)
| ~ pred_attacker(U_15) ),
inference(clausify,[status(thm)],[f_59_3]) ).
fof(f_60_1,plain,
! [VAR_V_56,VAR_V_57] :
( pred_attacker(VAR_V_56)
| ~ pred_attacker(tuple_T_in_3(VAR_V_56,VAR_V_57)) ),
inference(fof_nnf,[status(thm)],[ax59]) ).
fof(f_60_2,plain,
! [U_17,U_16] :
( pred_attacker(U_17)
| ~ pred_attacker(tuple_T_in_3(U_17,U_16)) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
fof(f_60_3,plain,
! [U_17] :
( ! [U_16] : ~ pred_attacker(tuple_T_in_3(U_17,U_16))
| pred_attacker(U_17) ),
inference(miniscope,[status(thm)],[f_60_2]) ).
fof(f_60_4,plain,
! [U_17,U_16] :
( ~ pred_attacker(tuple_T_in_3(U_17,U_16))
| pred_attacker(U_17) ),
inference(definitional_conversion,[status(esa)],[f_60_3]) ).
cnf(f_60_5,plain,
( ~ pred_attacker(tuple_T_in_3(U_17,U_16))
| pred_attacker(U_17) ),
inference(clausify,[status(thm)],[f_60_4]) ).
fof(f_61_1,plain,
! [VAR_V_59,VAR_V_60X30] :
( pred_attacker(VAR_V_60X30)
| ~ pred_attacker(tuple_T_in_3(VAR_V_59,VAR_V_60X30)) ),
inference(fof_nnf,[status(thm)],[ax60]) ).
fof(f_61_2,plain,
! [U_19,U_18] :
( pred_attacker(U_18)
| ~ pred_attacker(tuple_T_in_3(U_19,U_18)) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
! [U_18,U_19] :
( pred_attacker(U_18)
| ~ pred_attacker(tuple_T_in_3(U_19,U_18)) ),
inference(definitional_conversion,[status(esa)],[f_61_2]) ).
cnf(f_61_4,plain,
( pred_attacker(U_18)
| ~ pred_attacker(tuple_T_in_3(U_19,U_18)) ),
inference(clausify,[status(thm)],[f_61_3]) ).
fof(f_62_1,plain,
! [VAR_V_63] :
( pred_attacker(tuple_T_in_1(VAR_V_63))
| ~ pred_attacker(VAR_V_63) ),
inference(fof_nnf,[status(thm)],[ax61]) ).
fof(f_62_2,plain,
! [U_20] :
( pred_attacker(tuple_T_in_1(U_20))
| ~ pred_attacker(U_20) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
! [U_20] :
( pred_attacker(tuple_T_in_1(U_20))
| ~ pred_attacker(U_20) ),
inference(definitional_conversion,[status(esa)],[f_62_2]) ).
cnf(f_62_4,plain,
( pred_attacker(tuple_T_in_1(U_20))
| ~ pred_attacker(U_20) ),
inference(clausify,[status(thm)],[f_62_3]) ).
fof(f_63_1,plain,
! [VAR_V_66] :
( pred_attacker(VAR_V_66)
| ~ pred_attacker(tuple_T_in_1(VAR_V_66)) ),
inference(fof_nnf,[status(thm)],[ax62]) ).
fof(f_63_2,plain,
! [U_21] :
( pred_attacker(U_21)
| ~ pred_attacker(tuple_T_in_1(U_21)) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
! [U_21] :
( pred_attacker(U_21)
| ~ pred_attacker(tuple_T_in_1(U_21)) ),
inference(definitional_conversion,[status(esa)],[f_63_2]) ).
cnf(f_63_4,plain,
( pred_attacker(U_21)
| ~ pred_attacker(tuple_T_in_1(U_21)) ),
inference(clausify,[status(thm)],[f_63_3]) ).
fof(f_64_1,plain,
pred_attacker(constr_CONST_4),
inference(fof_nnf,[status(thm)],[ax63]) ).
fof(f_64_2,plain,
pred_attacker(constr_CONST_4),
inference(definitional_conversion,[status(esa)],[f_64_1]) ).
cnf(f_64_3,plain,
pred_attacker(constr_CONST_4),
inference(clausify,[status(thm)],[f_64_2]) ).
fof(f_65_1,plain,
pred_attacker(constr_CONST_3),
inference(fof_nnf,[status(thm)],[ax64]) ).
fof(f_65_2,plain,
pred_attacker(constr_CONST_3),
inference(definitional_conversion,[status(esa)],[f_65_1]) ).
cnf(f_65_3,plain,
pred_attacker(constr_CONST_3),
inference(clausify,[status(thm)],[f_65_2]) ).
fof(f_66_1,plain,
pred_attacker(constr_CONST_2),
inference(fof_nnf,[status(thm)],[ax65]) ).
fof(f_66_2,plain,
pred_attacker(constr_CONST_2),
inference(definitional_conversion,[status(esa)],[f_66_1]) ).
cnf(f_66_3,plain,
pred_attacker(constr_CONST_2),
inference(clausify,[status(thm)],[f_66_2]) ).
fof(f_67_1,plain,
pred_attacker(constr_CONST_1),
inference(fof_nnf,[status(thm)],[ax66]) ).
fof(f_67_2,plain,
pred_attacker(constr_CONST_1),
inference(definitional_conversion,[status(esa)],[f_67_1]) ).
cnf(f_67_3,plain,
pred_attacker(constr_CONST_1),
inference(clausify,[status(thm)],[f_67_2]) ).
fof(f_68_1,plain,
pred_attacker(constr_CONST_0x30),
inference(fof_nnf,[status(thm)],[ax67]) ).
fof(f_68_2,plain,
pred_attacker(constr_CONST_0x30),
inference(definitional_conversion,[status(esa)],[f_68_1]) ).
cnf(f_68_3,plain,
pred_attacker(constr_CONST_0x30),
inference(clausify,[status(thm)],[f_68_2]) ).
fof(f_69_1,plain,
! [VAR_V_72,VAR_V_73] :
( pred_attacker(VAR_V_72)
| ~ pred_attacker(VAR_V_73)
| ~ pred_mess(VAR_V_73,VAR_V_72) ),
inference(fof_nnf,[status(thm)],[ax68]) ).
fof(f_69_2,plain,
! [U_23,U_22] :
( pred_attacker(U_23)
| ~ pred_attacker(U_22)
| ~ pred_mess(U_22,U_23) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
! [U_23] :
( ! [U_22] :
( ~ pred_attacker(U_22)
| ~ pred_mess(U_22,U_23) )
| pred_attacker(U_23) ),
inference(miniscope,[status(thm)],[f_69_2]) ).
fof(f_69_4,plain,
! [U_23,U_22] :
( ~ pred_attacker(U_22)
| ~ pred_mess(U_22,U_23)
| pred_attacker(U_23) ),
inference(definitional_conversion,[status(esa)],[f_69_3]) ).
cnf(f_69_5,plain,
( ~ pred_attacker(U_22)
| ~ pred_mess(U_22,U_23)
| pred_attacker(U_23) ),
inference(clausify,[status(thm)],[f_69_4]) ).
fof(f_70_1,plain,
! [VAR_V_74,VAR_V_75] :
( pred_mess(VAR_V_75,VAR_V_74)
| ~ pred_attacker(VAR_V_74)
| ~ pred_attacker(VAR_V_75) ),
inference(fof_nnf,[status(thm)],[ax69]) ).
fof(f_70_2,plain,
! [U_25,U_24] :
( pred_mess(U_24,U_25)
| ~ pred_attacker(U_25)
| ~ pred_attacker(U_24) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
! [U_24,U_25] :
( pred_mess(U_24,U_25)
| ~ pred_attacker(U_25)
| ~ pred_attacker(U_24) ),
inference(definitional_conversion,[status(esa)],[f_70_2]) ).
cnf(f_70_4,plain,
( pred_mess(U_24,U_25)
| ~ pred_attacker(U_25)
| ~ pred_attacker(U_24) ),
inference(clausify,[status(thm)],[f_70_3]) ).
fof(f_71_1,plain,
pred_attacker(name_c),
inference(fof_nnf,[status(thm)],[ax70]) ).
fof(f_71_2,plain,
pred_attacker(name_c),
inference(definitional_conversion,[status(esa)],[f_71_1]) ).
cnf(f_71_3,plain,
pred_attacker(name_c),
inference(clausify,[status(thm)],[f_71_2]) ).
fof(f_72_1,plain,
! [VAR_V_77] : pred_equal(VAR_V_77,VAR_V_77),
inference(fof_nnf,[status(thm)],[ax71]) ).
fof(f_72_2,plain,
! [U_26] : pred_equal(U_26,U_26),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
! [U_26] : pred_equal(U_26,U_26),
inference(definitional_conversion,[status(esa)],[f_72_2]) ).
cnf(f_72_4,plain,
pred_equal(U_26,U_26),
inference(clausify,[status(thm)],[f_72_3]) ).
fof(f_73_1,plain,
! [VAR_V_78] : pred_attacker(name_new0x2Dname(VAR_V_78)),
inference(fof_nnf,[status(thm)],[ax72]) ).
fof(f_73_2,plain,
! [U_27] : pred_attacker(name_new0x2Dname(U_27)),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
! [U_27] : pred_attacker(name_new0x2Dname(U_27)),
inference(definitional_conversion,[status(esa)],[f_73_2]) ).
cnf(f_73_4,plain,
pred_attacker(name_new0x2Dname(U_27)),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_1,plain,
! [VAR_R_10X308] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(VAR_R_10X308,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(VAR_R_10X308)) ),
inference(fof_nnf,[status(thm)],[ax73]) ).
fof(f_74_2,plain,
! [U_28] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(U_28,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(U_28)) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_28] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(U_28,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(U_28)) ),
inference(definitional_conversion,[status(esa)],[f_74_2]) ).
cnf(f_74_4,plain,
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(U_28,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(U_28)) ),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_1,plain,
! [VAR_A_143,VAR_R_144] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(VAR_R_144))
| ~ pred_attacker(tuple_T_in_3(VAR_A_143,constr_h(constr_xor(VAR_A_143,constr_xor(name_k0x30,name_ki))))) ),
inference(fof_nnf,[status(thm)],[ax74]) ).
fof(f_75_2,plain,
! [U_30,U_29] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(U_29))
| ~ pred_attacker(tuple_T_in_3(U_30,constr_h(constr_xor(U_30,constr_xor(name_k0x30,name_ki))))) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
( ! [U_30] : ~ pred_attacker(tuple_T_in_3(U_30,constr_h(constr_xor(U_30,constr_xor(name_k0x30,name_ki)))))
| ! [U_29] : ~ pred_attacker(tuple_T_in_1(U_29))
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(miniscope,[status(thm)],[f_75_2]) ).
fof(f_75_4,plain,
! [U_29,U_30] :
( ~ pred_attacker(tuple_T_in_3(U_30,constr_h(constr_xor(U_30,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(U_29))
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(definitional_conversion,[status(esa)],[f_75_3]) ).
cnf(f_75_5,plain,
( ~ pred_attacker(tuple_T_in_3(U_30,constr_h(constr_xor(U_30,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(U_29))
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(clausify,[status(thm)],[f_75_4]) ).
fof(f_76_1,negated_conjecture,
~ pred_attacker(name_objective),
inference(negate,[status(cth)],[co0]) ).
fof(f_76_2,negated_conjecture,
~ pred_attacker(name_objective),
inference(definitional_conversion,[status(esa)],[f_76_1]) ).
cnf(f_76_3,negated_conjecture,
~ pred_attacker(name_objective),
inference(clausify,[status(thm)],[f_76_2]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( constr_xor(Eq_x_0,Eq_x_1) = constr_xor(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( constr_h(Eq_x_0) = constr_h(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( tuple_T_out_4(Eq_x_0) = tuple_T_out_4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( tuple_T_out_2(Eq_x_0) = tuple_T_out_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( tuple_T_in_3(Eq_x_0,Eq_x_1) = tuple_T_in_3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( tuple_T_in_1(Eq_x_0) = tuple_T_in_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( name_new0x2Dname(Eq_x_0) = name_new0x2Dname(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( pred_attacker(Eq_y_0)
| ~ pred_attacker(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( pred_mess(Eq_y_0,Eq_y_1)
| ~ pred_mess(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( pred_equal(Eq_y_0,Eq_y_1)
| ~ pred_equal(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW950+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 05:59:58 UTC 2026
% 0.09/5.38 % CPUTime :
% 150.63/156.01 % SZS status Theorem for theBenchmark
% 150.63/156.01 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------