TSTP Solution File: SWW951+1 by CSE---1.7
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW951+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : Mon Jun 24 18:10:36 EDT 2024
% Result : Theorem 9.56s 9.67s
% Output : CNFRefutation 9.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW951+1 : TPTP v8.2.0. Released v7.4.0.
% 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 07:45:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.60/0.64 start to proof:theBenchmark
% 9.56/9.65 %-------------------------------------------
% 9.56/9.65 % File :CSE---1.7
% 9.56/9.65 % Problem :theBenchmark
% 9.56/9.65 % Transform :cnf
% 9.56/9.65 % Format :tptp:raw
% 9.56/9.65 % Command :java -jar mcs_scs.jar %d %s
% 9.56/9.66
% 9.56/9.66 % Result :Theorem 8.940000s
% 9.56/9.66 % Output :CNFRefutation 8.940000s
% 9.56/9.66 %-------------------------------------------
% 9.56/9.66 %--------------------------------------------------------------------------
% 9.56/9.66 % File : SWW951+1 : TPTP v8.2.0. Released v7.4.0.
% 9.56/9.66 % Domain : Software Verification
% 9.56/9.66 % Problem : Attack on OTYT06 protocol
% 9.56/9.66 % Version : [LT19] axioms : Especial.
% 9.56/9.66 % English : Attack demonstrates violation of aliveness property of tag
% 9.56/9.66 % : guaranteed to reader.
% 9.56/9.66
% 9.56/9.66 % Refs : [BO97] Bull & Otway (1997), The Authentication Protocol
% 9.56/9.66 % : [RS98] Ryan & Schneider (1998), An Attack on a Recursive Auth
% 9.56/9.66 % : [LT19] Li & Tiu (2019), Combining ProVerif and Automated Theo
% 9.56/9.66 % : [Li20] Li (2020), Email to Geoff Sutcliffe
% 9.56/9.66 % Source : [Li20]
% 9.56/9.66 % Names : OTYT06-reader-auth.p [LT20]
% 9.56/9.66
% 9.56/9.66 % Status : Theorem
% 9.56/9.66 % Rating : 0.17 v7.5.0, 0.19 v7.4.0
% 9.56/9.66 % Syntax : Number of formulae : 66 ( 52 unt; 0 def)
% 9.56/9.66 % Number of atoms : 84 ( 40 equ)
% 9.56/9.66 % Maximal formula atoms : 3 ( 1 avg)
% 9.56/9.66 % Number of connectives : 54 ( 36 ~; 0 |; 4 &)
% 9.56/9.66 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 9.56/9.66 % Maximal formula depth : 5 ( 2 avg)
% 9.56/9.66 % Maximal term depth : 4 ( 1 avg)
% 9.56/9.66 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 9.56/9.66 % Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% 9.56/9.66 % Number of variables : 27 ( 27 !; 0 ?)
% 9.56/9.66 % SPC : FOF_THM_RFO_SEQ
% 9.56/9.66
% 9.56/9.66 % Comments : Generated by a modified version of ProVerif used in the
% 9.56/9.66 % ProVerif-ATP project [LT19].
% 9.56/9.66 %--------------------------------------------------------------------------
% 9.56/9.66 fof(ax0,axiom,
% 9.56/9.66 constr_CONST_0x30 != constr_CONST_1 ).
% 9.56/9.66
% 9.56/9.66 fof(ax1,axiom,
% 9.56/9.66 constr_CONST_0x30 != constr_CONST_2 ).
% 9.56/9.66
% 9.56/9.66 fof(ax2,axiom,
% 9.56/9.66 constr_CONST_0x30 != constr_CONST_3 ).
% 9.56/9.66
% 9.56/9.66 fof(ax3,axiom,
% 9.56/9.66 constr_CONST_0x30 != constr_CONST_4 ).
% 9.56/9.66
% 9.56/9.66 fof(ax4,axiom,
% 9.56/9.66 constr_CONST_0x30 != constr_ZERO ).
% 9.56/9.66
% 9.56/9.66 fof(ax5,axiom,
% 9.56/9.66 constr_CONST_0x30 != name_c ).
% 9.56/9.66
% 9.56/9.66 fof(ax6,axiom,
% 9.56/9.66 constr_CONST_0x30 != name_k ).
% 9.56/9.66
% 9.56/9.66 fof(ax7,axiom,
% 9.56/9.66 constr_CONST_0x30 != name_objective ).
% 9.56/9.66
% 9.56/9.66 fof(ax8,axiom,
% 9.56/9.66 constr_CONST_1 != constr_CONST_2 ).
% 9.56/9.66
% 9.56/9.66 fof(ax9,axiom,
% 9.56/9.66 constr_CONST_1 != constr_CONST_3 ).
% 9.56/9.66
% 9.56/9.66 fof(ax10,axiom,
% 9.56/9.66 constr_CONST_1 != constr_CONST_4 ).
% 9.56/9.66
% 9.56/9.66 fof(ax11,axiom,
% 9.56/9.66 constr_CONST_1 != constr_ZERO ).
% 9.56/9.66
% 9.56/9.66 fof(ax12,axiom,
% 9.56/9.66 constr_CONST_1 != name_c ).
% 9.56/9.66
% 9.56/9.66 fof(ax13,axiom,
% 9.56/9.66 constr_CONST_1 != name_k ).
% 9.56/9.66
% 9.56/9.66 fof(ax14,axiom,
% 9.56/9.66 constr_CONST_1 != name_objective ).
% 9.56/9.66
% 9.56/9.66 fof(ax15,axiom,
% 9.56/9.66 constr_CONST_2 != constr_CONST_3 ).
% 9.56/9.66
% 9.56/9.66 fof(ax16,axiom,
% 9.56/9.66 constr_CONST_2 != constr_CONST_4 ).
% 9.56/9.66
% 9.56/9.66 fof(ax17,axiom,
% 9.56/9.66 constr_CONST_2 != constr_ZERO ).
% 9.56/9.66
% 9.56/9.66 fof(ax18,axiom,
% 9.56/9.66 constr_CONST_2 != name_c ).
% 9.56/9.66
% 9.56/9.66 fof(ax19,axiom,
% 9.56/9.66 constr_CONST_2 != name_k ).
% 9.56/9.66
% 9.56/9.66 fof(ax20,axiom,
% 9.56/9.66 constr_CONST_2 != name_objective ).
% 9.56/9.66
% 9.56/9.66 fof(ax21,axiom,
% 9.56/9.66 constr_CONST_3 != constr_CONST_4 ).
% 9.56/9.66
% 9.56/9.66 fof(ax22,axiom,
% 9.56/9.66 constr_CONST_3 != constr_ZERO ).
% 9.56/9.66
% 9.56/9.66 fof(ax23,axiom,
% 9.56/9.67 constr_CONST_3 != name_c ).
% 9.56/9.67
% 9.56/9.67 fof(ax24,axiom,
% 9.56/9.67 constr_CONST_3 != name_k ).
% 9.56/9.67
% 9.56/9.67 fof(ax25,axiom,
% 9.56/9.67 constr_CONST_3 != name_objective ).
% 9.56/9.67
% 9.56/9.67 fof(ax26,axiom,
% 9.56/9.67 constr_CONST_4 != constr_ZERO ).
% 9.56/9.67
% 9.56/9.67 fof(ax27,axiom,
% 9.56/9.67 constr_CONST_4 != name_c ).
% 9.56/9.67
% 9.56/9.67 fof(ax28,axiom,
% 9.56/9.67 constr_CONST_4 != name_k ).
% 9.56/9.67
% 9.56/9.67 fof(ax29,axiom,
% 9.56/9.67 constr_CONST_4 != name_objective ).
% 9.56/9.67
% 9.56/9.67 fof(ax30,axiom,
% 9.56/9.67 constr_ZERO != name_c ).
% 9.56/9.67
% 9.56/9.67 fof(ax31,axiom,
% 9.56/9.67 constr_ZERO != name_k ).
% 9.56/9.67
% 9.56/9.67 fof(ax32,axiom,
% 9.56/9.67 constr_ZERO != name_objective ).
% 9.56/9.67
% 9.56/9.67 fof(ax33,axiom,
% 9.56/9.67 name_c != name_k ).
% 9.56/9.67
% 9.56/9.67 fof(ax34,axiom,
% 9.56/9.67 name_c != name_objective ).
% 9.56/9.67
% 9.56/9.67 fof(ax35,axiom,
% 9.56/9.67 name_k != name_objective ).
% 9.56/9.67
% 9.56/9.67 fof(ax36,axiom,
% 9.56/9.67 ! [VAR_X_10X30] : constr_xor(VAR_X_10X30,VAR_X_10X30) = constr_ZERO ).
% 9.56/9.67
% 9.56/9.67 fof(ax37,axiom,
% 9.56/9.67 ! [VAR_X_9] : constr_xor(VAR_X_9,constr_ZERO) = VAR_X_9 ).
% 9.56/9.67
% 9.56/9.67 fof(ax38,axiom,
% 9.56/9.67 ! [VAR_X_7,VAR_Y_8] : constr_xor(VAR_X_7,VAR_Y_8) = constr_xor(VAR_Y_8,VAR_X_7) ).
% 9.56/9.67
% 9.56/9.67 fof(ax39,axiom,
% 9.56/9.67 ! [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) ).
% 9.56/9.67
% 9.56/9.67 fof(ax40,axiom,
% 9.56/9.67 ! [VAR_V_26,VAR_V_27] :
% 9.56/9.67 ( ( pred_attacker(VAR_V_26)
% 9.56/9.67 & pred_attacker(VAR_V_27) )
% 9.56/9.67 => pred_attacker(constr_xor(VAR_V_26,VAR_V_27)) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax41,axiom,
% 9.56/9.67 pred_attacker(tuple_true) ).
% 9.56/9.67
% 9.56/9.67 fof(ax42,axiom,
% 9.56/9.67 ! [VAR_V_30X30] :
% 9.56/9.67 ( pred_attacker(VAR_V_30X30)
% 9.56/9.67 => pred_attacker(constr_h(VAR_V_30X30)) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax43,axiom,
% 9.56/9.67 pred_attacker(tuple_false) ).
% 9.56/9.67
% 9.56/9.67 fof(ax44,axiom,
% 9.56/9.67 pred_attacker(constr_ZERO) ).
% 9.56/9.67
% 9.56/9.67 fof(ax45,axiom,
% 9.56/9.67 ! [VAR_V_32] :
% 9.56/9.67 ( pred_attacker(VAR_V_32)
% 9.56/9.67 => pred_attacker(tuple_T_out_4(VAR_V_32)) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax46,axiom,
% 9.56/9.67 ! [VAR_V_35] :
% 9.56/9.67 ( pred_attacker(tuple_T_out_4(VAR_V_35))
% 9.56/9.67 => pred_attacker(VAR_V_35) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax47,axiom,
% 9.56/9.67 ! [VAR_V_38] :
% 9.56/9.67 ( pred_attacker(VAR_V_38)
% 9.56/9.67 => pred_attacker(tuple_T_out_2(VAR_V_38)) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax48,axiom,
% 9.56/9.67 ! [VAR_V_41] :
% 9.56/9.67 ( pred_attacker(tuple_T_out_2(VAR_V_41))
% 9.56/9.67 => pred_attacker(VAR_V_41) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax49,axiom,
% 9.56/9.67 ! [VAR_V_44] :
% 9.56/9.67 ( pred_attacker(VAR_V_44)
% 9.56/9.67 => pred_attacker(tuple_T_in_3(VAR_V_44)) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax50,axiom,
% 9.56/9.67 ! [VAR_V_47] :
% 9.56/9.67 ( pred_attacker(tuple_T_in_3(VAR_V_47))
% 9.56/9.67 => pred_attacker(VAR_V_47) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax51,axiom,
% 9.56/9.67 ! [VAR_V_50X30] :
% 9.56/9.67 ( pred_attacker(VAR_V_50X30)
% 9.56/9.67 => pred_attacker(tuple_T_in_1(VAR_V_50X30)) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax52,axiom,
% 9.56/9.67 ! [VAR_V_53] :
% 9.56/9.67 ( pred_attacker(tuple_T_in_1(VAR_V_53))
% 9.56/9.67 => pred_attacker(VAR_V_53) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax53,axiom,
% 9.56/9.67 pred_attacker(constr_CONST_4) ).
% 9.56/9.67
% 9.56/9.67 fof(ax54,axiom,
% 9.56/9.67 pred_attacker(constr_CONST_3) ).
% 9.56/9.67
% 9.56/9.67 fof(ax55,axiom,
% 9.56/9.67 pred_attacker(constr_CONST_2) ).
% 9.56/9.67
% 9.56/9.67 fof(ax56,axiom,
% 9.56/9.67 pred_attacker(constr_CONST_1) ).
% 9.56/9.67
% 9.56/9.67 fof(ax57,axiom,
% 9.56/9.67 pred_attacker(constr_CONST_0x30) ).
% 9.56/9.67
% 9.56/9.67 fof(ax58,axiom,
% 9.56/9.67 ! [VAR_V_59,VAR_V_60X30] :
% 9.56/9.67 ( ( pred_mess(VAR_V_60X30,VAR_V_59)
% 9.56/9.67 & pred_attacker(VAR_V_60X30) )
% 9.56/9.67 => pred_attacker(VAR_V_59) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax59,axiom,
% 9.56/9.67 ! [VAR_V_61,VAR_V_62] :
% 9.56/9.67 ( ( pred_attacker(VAR_V_62)
% 9.56/9.67 & pred_attacker(VAR_V_61) )
% 9.56/9.67 => pred_mess(VAR_V_62,VAR_V_61) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax60,axiom,
% 9.56/9.67 pred_attacker(name_c) ).
% 9.56/9.67
% 9.56/9.67 fof(ax61,axiom,
% 9.56/9.67 ! [VAR_V_64] : pred_equal(VAR_V_64,VAR_V_64) ).
% 9.56/9.67
% 9.56/9.67 fof(ax62,axiom,
% 9.56/9.67 ! [VAR_V_65] : pred_attacker(name_new0x2Dname(VAR_V_65)) ).
% 9.56/9.67
% 9.56/9.67 fof(ax63,axiom,
% 9.56/9.67 ! [VAR_R1_85] :
% 9.56/9.67 ( pred_attacker(tuple_T_in_1(VAR_R1_85))
% 9.56/9.67 => pred_attacker(tuple_T_out_2(constr_h(constr_xor(name_k,VAR_R1_85)))) ) ).
% 9.56/9.67
% 9.56/9.67 fof(ax64,axiom,
% 9.56/9.67 ! [VAR_K_XOR_K1_10X305,VAR_R1_10X306] :
% 9.56/9.67 ( ( pred_attacker(tuple_T_in_3(VAR_K_XOR_K1_10X305))
% 9.56/9.67 & pred_attacker(tuple_T_in_1(VAR_R1_10X306)) )
% 9.56/9.67 => pred_attacker(tuple_T_out_4(name_objective)) ) ).
% 9.56/9.67
% 9.56/9.67 fof(co0,conjecture,
% 9.56/9.67 pred_attacker(name_objective) ).
% 9.56/9.67
% 9.56/9.67 %--------------------------------------------------------------------------
% 9.56/9.67 %-------------------------------------------
% 9.56/9.67 % Proof found
% 9.56/9.67 % SZS status Theorem for theBenchmark
% 9.56/9.67 % SZS output start Proof
% 9.56/9.67 %ClaNum:82(EqnAxiom:16)
% 9.56/9.67 %VarNum:51(SingletonVarNum:27)
% 9.56/9.67 %MaxLitNum:3
% 9.56/9.67 %MaxfuncDepth:3
% 9.56/9.67 %SharedTerms:59
% 9.56/9.67 %goalClause: 68
% 9.56/9.67 %singleGoalClaCount:1
% 9.56/9.67 [17]P1(a1)
% 9.56/9.67 [18]P1(a2)
% 9.56/9.67 [19]P1(a3)
% 9.56/9.67 [20]P1(a4)
% 9.56/9.67 [21]P1(a5)
% 9.56/9.67 [22]P1(a6)
% 9.56/9.67 [23]P1(a7)
% 9.56/9.67 [24]P1(a10)
% 9.56/9.67 [25]P1(a11)
% 9.56/9.67 [32]~E(a2,a1)
% 9.56/9.67 [33]~E(a3,a1)
% 9.56/9.67 [34]~E(a3,a2)
% 9.56/9.67 [35]~E(a4,a1)
% 9.56/9.67 [36]~E(a4,a2)
% 9.56/9.67 [37]~E(a4,a3)
% 9.56/9.67 [38]~E(a5,a1)
% 9.56/9.67 [39]~E(a5,a2)
% 9.56/9.67 [40]~E(a5,a3)
% 9.56/9.67 [41]~E(a5,a4)
% 9.56/9.67 [42]~E(a1,a6)
% 9.56/9.67 [43]~E(a2,a6)
% 9.56/9.67 [44]~E(a3,a6)
% 9.56/9.67 [45]~E(a4,a6)
% 9.56/9.67 [46]~E(a5,a6)
% 9.56/9.67 [47]~E(a7,a1)
% 9.56/9.67 [48]~E(a7,a2)
% 9.56/9.67 [49]~E(a7,a3)
% 9.56/9.67 [50]~E(a7,a4)
% 9.56/9.67 [51]~E(a7,a5)
% 9.56/9.67 [52]~E(a7,a6)
% 9.56/9.67 [53]~E(a13,a1)
% 9.56/9.67 [54]~E(a13,a2)
% 9.56/9.67 [55]~E(a13,a3)
% 9.56/9.67 [56]~E(a13,a4)
% 9.56/9.67 [57]~E(a13,a5)
% 9.56/9.67 [58]~E(a13,a6)
% 9.56/9.67 [59]~E(a13,a7)
% 9.56/9.67 [60]~E(a14,a1)
% 9.56/9.67 [61]~E(a14,a2)
% 9.56/9.67 [62]~E(a14,a3)
% 9.56/9.67 [63]~E(a14,a4)
% 9.56/9.67 [64]~E(a14,a5)
% 9.56/9.67 [65]~E(a14,a6)
% 9.56/9.67 [66]~E(a14,a7)
% 9.56/9.67 [67]~E(a14,a13)
% 9.56/9.67 [68]~P1(a14)
% 9.56/9.67 [29]P2(x291,x291)
% 9.56/9.67 [26]P1(f12(x261))
% 9.56/9.67 [27]E(f8(x271,a6),x271)
% 9.56/9.67 [28]E(f8(x281,x281),a6)
% 9.56/9.67 [30]E(f8(x301,x302),f8(x302,x301))
% 9.56/9.67 [31]E(f8(f8(x311,x312),x313),f8(x311,f8(x312,x313)))
% 9.56/9.67 [69]~P1(x691)+P1(f9(x691))
% 9.56/9.67 [70]~P1(x701)+P1(f15(x701))
% 9.56/9.67 [71]~P1(x711)+P1(f16(x711))
% 9.56/9.67 [72]~P1(x721)+P1(f17(x721))
% 9.56/9.67 [73]~P1(x731)+P1(f18(x731))
% 9.56/9.67 [74]P1(x741)+~P1(f15(x741))
% 9.56/9.67 [75]P1(x751)+~P1(f16(x751))
% 9.56/9.67 [76]P1(x761)+~P1(f17(x761))
% 9.56/9.67 [77]P1(x771)+~P1(f18(x771))
% 9.56/9.67 [82]~P1(f18(x821))+P1(f16(f9(f8(a13,x821))))
% 9.56/9.67 [78]~P1(x782)+~P1(x781)+P3(x781,x782)
% 9.56/9.67 [79]~P3(x792,x791)+P1(x791)+~P1(x792)
% 9.56/9.67 [80]~P1(f17(x801))+~P1(f18(x802))+P1(f15(a14))
% 9.56/9.67 [81]~P1(x812)+~P1(x811)+P1(f8(x811,x812))
% 9.56/9.67 %EqnAxiom
% 9.56/9.67 [1]E(x11,x11)
% 9.56/9.67 [2]E(x22,x21)+~E(x21,x22)
% 9.56/9.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 9.56/9.67 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 9.56/9.67 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 9.56/9.67 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 9.56/9.67 [7]~E(x71,x72)+E(f18(x71),f18(x72))
% 9.56/9.67 [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 9.56/9.67 [9]~E(x91,x92)+E(f9(x91),f9(x92))
% 9.56/9.67 [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 9.56/9.67 [11]~E(x111,x112)+E(f15(x111),f15(x112))
% 9.56/9.67 [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 9.56/9.67 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 9.56/9.67 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 9.56/9.67 [15]P2(x152,x153)+~E(x151,x152)+~P2(x151,x153)
% 9.56/9.67 [16]P2(x163,x162)+~E(x161,x162)+~P2(x163,x161)
% 9.56/9.67
% 9.56/9.67 %-------------------------------------------
% 9.56/9.67 cnf(1849,plain,
% 9.56/9.67 (~P1(f18(x18491))+P1(f15(a14))),
% 9.56/9.67 inference(scs_inference,[],[17,80,72])).
% 9.56/9.67 cnf(1988,plain,
% 9.56/9.67 (P1(f15(a14))),
% 9.56/9.67 inference(scs_inference,[],[18,1849,73])).
% 9.56/9.67 cnf(1989,plain,
% 9.56/9.67 ($false),
% 9.56/9.67 inference(scs_inference,[],[68,1988,74]),
% 9.56/9.67 ['proof']).
% 9.56/9.67 % SZS output end Proof
% 9.56/9.68 % Total time :8.940000s
%------------------------------------------------------------------------------