TSTP Solution File: SWW952+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW952+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 00:19:19 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 48
% Syntax : Number of formulae : 92 ( 32 unt; 32 typ; 0 def)
% Number of atoms : 96 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 30 ~; 26 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 16 >; 7 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 16 con; 0-2 aty)
% Number of variables : 69 ( 3 sgn; 40 !; 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,
constr_QUERY: $i ).
tff(decl_28,type,
constr_ZERO: $i ).
tff(decl_29,type,
name_ID: $i ).
tff(decl_30,type,
name_c: $i ).
tff(decl_31,type,
name_k: $i ).
tff(decl_32,type,
name_objective: $i ).
tff(decl_33,type,
name_r1: $i ).
tff(decl_34,type,
name_r1_s1: $i ).
tff(decl_35,type,
name_r2_s1: $i ).
tff(decl_36,type,
constr_xor: ( $i * $i ) > $i ).
tff(decl_37,type,
pred_attacker: $i > $o ).
tff(decl_38,type,
tuple_true: $i ).
tff(decl_39,type,
constr_split_R: $i > $i ).
tff(decl_40,type,
constr_split_L: $i > $i ).
tff(decl_41,type,
tuple_sess_1_out_3: $i > $i ).
tff(decl_42,type,
tuple_sess_1_out_2: ( $i * $i ) > $i ).
tff(decl_43,type,
tuple_sess_1_out_1: $i > $i ).
tff(decl_44,type,
constr_rotate: ( $i * $i ) > $i ).
tff(decl_45,type,
constr_h: $i > $i ).
tff(decl_46,type,
tuple_false: $i ).
tff(decl_47,type,
tuple_R_out_4: $i > $i ).
tff(decl_48,type,
tuple_R_out_3: $i > $i ).
tff(decl_49,type,
tuple_R_out_1: ( $i * $i ) > $i ).
tff(decl_50,type,
tuple_R_in_2: ( $i * $i ) > $i ).
tff(decl_51,type,
pred_mess: ( $i * $i ) > $o ).
tff(decl_52,type,
pred_equal: ( $i * $i ) > $o ).
tff(decl_53,type,
name_new0x2Dname: $i > $i ).
fof(ax136,axiom,
! [X48] :
( pred_attacker(tuple_R_in_2(X48,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X48),name_k))),constr_h(constr_xor(constr_xor(name_r1,X48),name_k))))))
=> pred_attacker(tuple_R_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).
fof(ax94,axiom,
! [X5,X6,X7] : constr_xor(X5,constr_xor(X6,X7)) = constr_xor(constr_xor(X5,X6),X7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(ax93,axiom,
! [X3,X4] : constr_xor(X3,X4) = constr_xor(X4,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(ax92,axiom,
! [X2] : constr_xor(X2,constr_ZERO) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(ax117,axiom,
! [X35,X36] :
( ( pred_attacker(X35)
& pred_attacker(X36) )
=> pred_attacker(tuple_R_in_2(X35,X36)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
fof(ax91,axiom,
! [X1] : constr_xor(X1,X1) = constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(ax103,axiom,
! [X18,X19] :
( pred_attacker(tuple_sess_1_out_2(X18,X19))
=> pred_attacker(X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
fof(ax132,axiom,
pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))),constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax132) ).
fof(ax111,axiom,
! [X26] :
( pred_attacker(tuple_R_out_4(X26))
=> pred_attacker(X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(ax116,axiom,
! [X33,X34] :
( pred_attacker(tuple_R_out_1(X33,X34))
=> pred_attacker(X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
fof(ax95,axiom,
! [X8,X9] :
( ( pred_attacker(X8)
& pred_attacker(X9) )
=> pred_attacker(constr_xor(X8,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(ax134,axiom,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
fof(ax102,axiom,
! [X16,X17] :
( pred_attacker(tuple_sess_1_out_2(X16,X17))
=> pred_attacker(X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
fof(ax105,axiom,
! [X21] :
( pred_attacker(tuple_sess_1_out_1(X21))
=> pred_attacker(X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
fof(ax131,axiom,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
fof(c_0_16,plain,
! [X96] :
( ~ pred_attacker(tuple_R_in_2(X96,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X96),name_k))),constr_h(constr_xor(constr_xor(name_r1,X96),name_k))))))
| pred_attacker(tuple_R_out_4(name_objective)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax136])]) ).
fof(c_0_17,plain,
! [X53,X54,X55] : constr_xor(X53,constr_xor(X54,X55)) = constr_xor(constr_xor(X53,X54),X55),
inference(variable_rename,[status(thm)],[ax94]) ).
fof(c_0_18,plain,
! [X51,X52] : constr_xor(X51,X52) = constr_xor(X52,X51),
inference(variable_rename,[status(thm)],[ax93]) ).
fof(c_0_19,plain,
! [X50] : constr_xor(X50,constr_ZERO) = X50,
inference(variable_rename,[status(thm)],[ax92]) ).
cnf(c_0_20,plain,
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(X1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X1),name_k))),constr_h(constr_xor(constr_xor(name_r1,X1),name_k)))))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
constr_xor(X1,constr_xor(X2,X3)) = constr_xor(constr_xor(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
constr_xor(X1,X2) = constr_xor(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X83,X84] :
( ~ pred_attacker(X83)
| ~ pred_attacker(X84)
| pred_attacker(tuple_R_in_2(X83,X84)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax117])]) ).
fof(c_0_24,plain,
! [X49] : constr_xor(X49,X49) = constr_ZERO,
inference(variable_rename,[status(thm)],[ax91]) ).
cnf(c_0_25,plain,
constr_xor(X1,constr_ZERO) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_26,plain,
! [X66,X67] :
( ~ pred_attacker(tuple_sess_1_out_2(X66,X67))
| pred_attacker(X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax103])]) ).
cnf(c_0_27,plain,
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(X1,constr_split_L(constr_xor(constr_h(constr_xor(name_r1,constr_xor(X1,name_k))),constr_rotate(name_ID,constr_h(constr_xor(name_r1,constr_xor(X1,name_k)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21]),c_0_22]) ).
cnf(c_0_28,plain,
( pred_attacker(tuple_R_in_2(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
constr_xor(X1,constr_xor(X2,X3)) = constr_xor(X2,constr_xor(X3,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,plain,
constr_xor(X1,X1) = constr_ZERO,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
constr_xor(constr_ZERO,X1) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_32,plain,
( pred_attacker(X2)
| ~ pred_attacker(tuple_sess_1_out_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
pred_attacker(tuple_sess_1_out_2(name_r2_s1,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k))),constr_h(constr_xor(constr_xor(name_r1_s1,name_r2_s1),name_k)))))),
inference(split_conjunct,[status(thm)],[ax132]) ).
cnf(c_0_34,plain,
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X1)))))))
| ~ pred_attacker(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_29]) ).
cnf(c_0_35,plain,
constr_xor(X1,constr_xor(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_31]) ).
cnf(c_0_36,plain,
pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_r1_s1,constr_xor(name_k,name_r2_s1))),constr_rotate(name_ID,constr_h(constr_xor(name_r1_s1,constr_xor(name_k,name_r2_s1))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_21]),c_0_21]),c_0_22]),c_0_22]),c_0_22]) ).
fof(c_0_37,plain,
! [X74] :
( ~ pred_attacker(tuple_R_out_4(X74))
| pred_attacker(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax111])]) ).
cnf(c_0_38,plain,
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,X1)),constr_rotate(name_ID,constr_h(constr_xor(name_k,X1))))))
| ~ pred_attacker(constr_xor(name_r1,X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
pred_attacker(constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_29]),c_0_22]),c_0_22]) ).
fof(c_0_40,negated_conjecture,
~ pred_attacker(name_objective),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).
fof(c_0_41,plain,
! [X81,X82] :
( ~ pred_attacker(tuple_R_out_1(X81,X82))
| pred_attacker(X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax116])]) ).
cnf(c_0_42,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_R_out_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(constr_xor(name_r1,constr_xor(name_r1_s1,name_r2_s1))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
~ pred_attacker(name_objective),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_45,plain,
! [X56,X57] :
( ~ pred_attacker(X56)
| ~ pred_attacker(X57)
| pred_attacker(constr_xor(X56,X57)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])]) ).
cnf(c_0_46,plain,
( pred_attacker(X2)
| ~ pred_attacker(tuple_R_out_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
inference(split_conjunct,[status(thm)],[ax134]) ).
fof(c_0_48,plain,
! [X64,X65] :
( ~ pred_attacker(tuple_sess_1_out_2(X64,X65))
| pred_attacker(X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax102])]) ).
fof(c_0_49,plain,
! [X69] :
( ~ pred_attacker(tuple_sess_1_out_1(X69))
| pred_attacker(X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax105])]) ).
cnf(c_0_50,plain,
~ pred_attacker(constr_xor(name_r1,constr_xor(name_r1_s1,name_r2_s1))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_51,plain,
( pred_attacker(constr_xor(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
pred_attacker(name_r1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_sess_1_out_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_sess_1_out_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
inference(split_conjunct,[status(thm)],[ax131]) ).
cnf(c_0_56,plain,
~ pred_attacker(constr_xor(name_r1_s1,name_r2_s1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_57,plain,
pred_attacker(name_r2_s1),
inference(spm,[status(thm)],[c_0_53,c_0_33]) ).
cnf(c_0_58,plain,
pred_attacker(name_r1_s1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_51]),c_0_57]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW952+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.17/0.34 % Computer : n029.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun Aug 27 21:42:40 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.040000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.044000 s
%------------------------------------------------------------------------------