%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW952+1 : TPTP v9.2.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 : Tue May 5 05:33:27 PM UTC 2026
% Result : Theorem 6.76s 4.57s
% Output : CNFRefutation 6.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 67 ( 32 unt; 0 def)
% Number of atoms : 119 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 97 ( 45 ~; 42 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 87 ( 3 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax92,axiom,
! [X2] : constr_xor(X2,constr_ZERO) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
fof(ax93,axiom,
! [X3,X4] : constr_xor(X3,X4) = constr_xor(X4,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(ax94,axiom,
! [X5,X6,X7] : constr_xor(X5,constr_xor(X6,X7)) = constr_xor(constr_xor(X5,X6),X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
fof(ax91,axiom,
! [X1] : constr_xor(X1,X1) = constr_ZERO,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
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/sandbox2/benchmark/theBenchmark.p',ax136) ).
fof(ax95,axiom,
! [X8,X9] :
( ( pred_attacker(X8)
& pred_attacker(X9) )
=> pred_attacker(constr_xor(X8,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
fof(ax103,axiom,
! [X18,X19] :
( pred_attacker(tuple_sess_1_out_2(X18,X19))
=> pred_attacker(X19) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax132) ).
fof(ax117,axiom,
! [X35,X36] :
( ( pred_attacker(X35)
& pred_attacker(X36) )
=> pred_attacker(tuple_R_in_2(X35,X36)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).
fof(ax111,axiom,
! [X26] :
( pred_attacker(tuple_R_out_4(X26))
=> pred_attacker(X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
fof(co0,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(ax102,axiom,
! [X16,X17] :
( pred_attacker(tuple_sess_1_out_2(X16,X17))
=> pred_attacker(X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
fof(ax116,axiom,
! [X33,X34] :
( pred_attacker(tuple_R_out_1(X33,X34))
=> pred_attacker(X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax116) ).
fof(ax105,axiom,
! [X21] :
( pred_attacker(tuple_sess_1_out_1(X21))
=> pred_attacker(X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
fof(ax134,axiom,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
fof(ax131,axiom,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax131) ).
fof(c_0_16,plain,
! [X98] : constr_xor(X98,constr_ZERO) = X98,
inference(variable_rename,[status(thm)],[ax92]) ).
fof(c_0_17,plain,
! [X99,X100] : constr_xor(X99,X100) = constr_xor(X100,X99),
inference(variable_rename,[status(thm)],[ax93]) ).
fof(c_0_18,plain,
! [X101,X102,X103] : constr_xor(X101,constr_xor(X102,X103)) = constr_xor(constr_xor(X101,X102),X103),
inference(variable_rename,[status(thm)],[ax94]) ).
fof(c_0_19,plain,
! [X97] : constr_xor(X97,X97) = constr_ZERO,
inference(variable_rename,[status(thm)],[ax91]) ).
cnf(c_0_20,plain,
constr_xor(X1,constr_ZERO) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
constr_xor(X1,X2) = constr_xor(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X144] :
( ~ pred_attacker(tuple_R_in_2(X144,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X144),name_k))),constr_h(constr_xor(constr_xor(name_r1,X144),name_k))))))
| pred_attacker(tuple_R_out_4(name_objective)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax136])]) ).
fof(c_0_23,plain,
! [X104,X105] :
( ~ pred_attacker(X104)
| ~ pred_attacker(X105)
| pred_attacker(constr_xor(X104,X105)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])]) ).
cnf(c_0_24,plain,
constr_xor(X1,constr_xor(X2,X3)) = constr_xor(constr_xor(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
constr_xor(X1,X1) = constr_ZERO,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
constr_xor(constr_ZERO,X1) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
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_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_22]) ).
cnf(c_0_28,plain,
( pred_attacker(constr_xor(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(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,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_27,c_0_24]),c_0_24]),c_0_21]) ).
cnf(c_0_31,plain,
constr_xor(X1,constr_xor(X2,X3)) = constr_xor(X2,constr_xor(X3,X1)),
inference(spm,[status(thm)],[c_0_24,c_0_21]) ).
fof(c_0_32,plain,
! [X114,X115] :
( ~ pred_attacker(tuple_sess_1_out_2(X114,X115))
| pred_attacker(X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax103])]) ).
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(X1)
| ~ pred_attacker(constr_xor(X2,X1))
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,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_k,constr_xor(name_r1,X1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X1)))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_31]) ).
fof(c_0_36,plain,
! [X131,X132] :
( ~ pred_attacker(X131)
| ~ pred_attacker(X132)
| pred_attacker(tuple_R_in_2(X131,X132)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax117])]) ).
cnf(c_0_37,plain,
( pred_attacker(X2)
| ~ pred_attacker(tuple_sess_1_out_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
pred_attacker(tuple_sess_1_out_2(name_r2_s1,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)],[c_0_33,c_0_24]),c_0_21]),c_0_24]),c_0_21]),c_0_21]) ).
cnf(c_0_39,plain,
( pred_attacker(X1)
| ~ pred_attacker(constr_xor(X2,constr_xor(X3,X1)))
| ~ pred_attacker(constr_xor(X2,X3)) ),
inference(spm,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_40,plain,
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(constr_xor(name_r1,X1),constr_split_L(constr_xor(constr_h(constr_xor(name_k,X1)),constr_rotate(name_ID,constr_h(constr_xor(name_k,X1))))))) ),
inference(spm,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_41,plain,
( pred_attacker(tuple_R_in_2(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,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(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( pred_attacker(X1)
| ~ pred_attacker(constr_xor(X2,X3))
| ~ pred_attacker(constr_xor(X3,X1))
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_28]) ).
fof(c_0_44,plain,
! [X122] :
( ~ pred_attacker(tuple_R_out_4(X122))
| pred_attacker(X122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax111])]) ).
cnf(c_0_45,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_40,c_0_41]) ).
cnf(c_0_46,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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_31]),c_0_21]),c_0_31]),c_0_21]) ).
fof(c_0_47,negated_conjecture,
~ pred_attacker(name_objective),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).
cnf(c_0_48,plain,
( pred_attacker(X1)
| ~ pred_attacker(constr_xor(X2,constr_xor(X3,X1)))
| ~ pred_attacker(X3)
| ~ pred_attacker(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_29]),c_0_24]) ).
fof(c_0_49,plain,
! [X112,X113] :
( ~ pred_attacker(tuple_sess_1_out_2(X112,X113))
| pred_attacker(X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax102])]) ).
fof(c_0_50,plain,
! [X129,X130] :
( ~ pred_attacker(tuple_R_out_1(X129,X130))
| pred_attacker(X130) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax116])]) ).
fof(c_0_51,plain,
! [X117] :
( ~ pred_attacker(tuple_sess_1_out_1(X117))
| pred_attacker(X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax105])]) ).
cnf(c_0_52,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_R_out_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,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_45,c_0_46]) ).
cnf(c_0_54,negated_conjecture,
~ pred_attacker(name_objective),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
( pred_attacker(constr_xor(X1,X2))
| ~ pred_attacker(constr_xor(X3,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_29]) ).
cnf(c_0_56,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_sess_1_out_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,plain,
( pred_attacker(X2)
| ~ pred_attacker(tuple_R_out_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
inference(split_conjunct,[status(thm)],[ax134]) ).
cnf(c_0_59,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_sess_1_out_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
inference(split_conjunct,[status(thm)],[ax131]) ).
cnf(c_0_61,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_52,c_0_53]),c_0_54]) ).
cnf(c_0_62,plain,
( pred_attacker(constr_xor(X1,constr_xor(X2,X3)))
| ~ pred_attacker(X3)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_29]) ).
cnf(c_0_63,plain,
pred_attacker(name_r2_s1),
inference(spm,[status(thm)],[c_0_56,c_0_38]) ).
cnf(c_0_64,plain,
pred_attacker(name_r1),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
pred_attacker(name_r1_s1),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]),c_0_65])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW952+1 : TPTP v9.2.1. Released v7.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n018.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 07:36:32 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 6.76/4.57 % Version : CSE_E---1.7
% 6.76/4.57 % Problem : theBenchmark.p
% 6.76/4.57 % SZS status Theorem for theBenchmark.p
% 6.76/4.57 % SZS output start CNFRefutation
% See solution above
% 6.76/4.59 % Total time : 3.373s
%------------------------------------------------------------------------------