TSTP Solution File: SWW955+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 00:19:20 EDT 2023
% Result : Theorem 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 71 ( 17 unt; 27 typ; 0 def)
% Number of atoms : 75 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 23 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 15 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 12 con; 0-2 aty)
% Number of variables : 44 ( 4 sgn; 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
constr_CONST_0x30: $i ).
tff(decl_23,type,
constr_CONST_1: $i ).
tff(decl_24,type,
constr_CONST_2: $i ).
tff(decl_25,type,
constr_CONST_3: $i ).
tff(decl_26,type,
constr_CONST_4: $i ).
tff(decl_27,type,
name_Ka: $i ).
tff(decl_28,type,
name_Kb: $i ).
tff(decl_29,type,
name_c: $i ).
tff(decl_30,type,
name_m_9: $i ).
tff(decl_31,type,
name_objective: $i ).
tff(decl_32,type,
constr_enc: ( $i * $i ) > $i ).
tff(decl_33,type,
constr_dec: ( $i * $i ) > $i ).
tff(decl_34,type,
constr_comm_enc: ( $i * $i ) > $i ).
tff(decl_35,type,
constr_comm_dec: ( $i * $i ) > $i ).
tff(decl_36,type,
tuple_true: $i ).
tff(decl_37,type,
pred_attacker: $i > $o ).
tff(decl_38,type,
tuple_false: $i ).
tff(decl_39,type,
tuple_B_out_2: $i > $i ).
tff(decl_40,type,
tuple_B_in_3: $i > $i ).
tff(decl_41,type,
tuple_B_in_1: $i > $i ).
tff(decl_42,type,
tuple_A_out_4: $i > $i ).
tff(decl_43,type,
tuple_A_out_3: $i > $i ).
tff(decl_44,type,
tuple_A_out_1: $i > $i ).
tff(decl_45,type,
tuple_A_in_2: $i > $i ).
tff(decl_46,type,
pred_mess: ( $i * $i ) > $o ).
tff(decl_47,type,
pred_equal: ( $i * $i ) > $o ).
tff(decl_48,type,
name_new0x2Dname: $i > $i ).
fof(ax78,axiom,
! [X33] :
( pred_attacker(tuple_A_in_2(X33))
=> pred_attacker(tuple_A_out_3(constr_comm_dec(X33,name_Ka))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(ax70,axiom,
! [X25] :
( pred_attacker(X25)
=> pred_attacker(tuple_A_in_2(X25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
fof(ax67,axiom,
! [X22] :
( pred_attacker(tuple_A_out_3(X22))
=> pred_attacker(X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
fof(ax79,axiom,
! [X34] :
( pred_attacker(tuple_A_in_2(X34))
=> pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
fof(ax46,axiom,
! [X3,X4] : constr_comm_dec(constr_comm_enc(X4,X3),X3) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(ax69,axiom,
! [X24] :
( pred_attacker(tuple_A_out_1(X24))
=> pred_attacker(X24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(ax50,axiom,
! [X7,X8] :
( ( pred_attacker(X7)
& pred_attacker(X8) )
=> pred_attacker(constr_dec(X7,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
fof(ax45,axiom,
! [X1,X2] : constr_dec(constr_enc(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(ax65,axiom,
! [X20] :
( pred_attacker(tuple_A_out_4(X20))
=> pred_attacker(X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(ax77,axiom,
pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(ax57,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(c_0_12,plain,
! [X68] :
( ~ pred_attacker(tuple_A_in_2(X68))
| pred_attacker(tuple_A_out_3(constr_comm_dec(X68,name_Ka))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(c_0_13,plain,
! [X60] :
( ~ pred_attacker(X60)
| pred_attacker(tuple_A_in_2(X60)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax70])]) ).
fof(c_0_14,plain,
! [X57] :
( ~ pred_attacker(tuple_A_out_3(X57))
| pred_attacker(X57) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax67])]) ).
cnf(c_0_15,plain,
( pred_attacker(tuple_A_out_3(constr_comm_dec(X1,name_Ka)))
| ~ pred_attacker(tuple_A_in_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( pred_attacker(tuple_A_in_2(X1))
| ~ pred_attacker(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X69] :
( ~ pred_attacker(tuple_A_in_2(X69))
| pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])]) ).
cnf(c_0_18,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_A_out_3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( pred_attacker(tuple_A_out_3(constr_comm_dec(X1,name_Ka)))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_20,plain,
! [X38,X39] : constr_comm_dec(constr_comm_enc(X39,X38),X38) = X39,
inference(variable_rename,[status(thm)],[ax46]) ).
fof(c_0_21,plain,
! [X59] :
( ~ pred_attacker(tuple_A_out_1(X59))
| pred_attacker(X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax69])]) ).
fof(c_0_22,plain,
! [X42,X43] :
( ~ pred_attacker(X42)
| ~ pred_attacker(X43)
| pred_attacker(constr_dec(X42,X43)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])]) ).
fof(c_0_23,plain,
! [X36,X37] : constr_dec(constr_enc(X37,X36),X36) = X37,
inference(variable_rename,[status(thm)],[ax45]) ).
fof(c_0_24,plain,
! [X55] :
( ~ pred_attacker(tuple_A_out_4(X55))
| pred_attacker(X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).
cnf(c_0_25,plain,
( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
| ~ pred_attacker(tuple_A_in_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( pred_attacker(constr_comm_dec(X1,name_Ka))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
constr_comm_dec(constr_comm_enc(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_A_out_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
inference(split_conjunct,[status(thm)],[ax77]) ).
cnf(c_0_30,plain,
( pred_attacker(constr_dec(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
constr_dec(constr_enc(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_A_out_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_34,plain,
( pred_attacker(X1)
| ~ pred_attacker(constr_comm_enc(X1,name_Ka)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
pred_attacker(constr_comm_enc(name_m_9,name_Ka)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_36,negated_conjecture,
~ pred_attacker(name_objective),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).
cnf(c_0_37,plain,
( pred_attacker(X1)
| ~ pred_attacker(constr_enc(X1,X2))
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( pred_attacker(constr_enc(name_objective,name_m_9))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
pred_attacker(name_m_9),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
~ pred_attacker(name_objective),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
pred_attacker(constr_CONST_0x30),
inference(split_conjunct,[status(thm)],[ax57]) ).
cnf(c_0_42,plain,
~ pred_attacker(X1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_43,plain,
$false,
inference(sr,[status(thm)],[c_0_41,c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n014.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 : Sun Aug 27 21:07:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.57 % Version : CSE_E---1.5
% 0.20/0.57 % Problem : theBenchmark.p
% 0.20/0.57 % Proof found
% 0.20/0.57 % SZS status Theorem for theBenchmark.p
% 0.20/0.57 % SZS output start Proof
% See solution above
% 0.20/0.57 % Total time : 0.010000 s
% 0.20/0.57 % SZS output end Proof
% 0.20/0.57 % Total time : 0.014000 s
%------------------------------------------------------------------------------