%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW948+1 : TPTP v9.2.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 1.32s 1.74s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 61 ( 33 unt; 0 def)
% Number of atoms : 97 ( 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 : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 2 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax106,axiom,
! [X40] :
( pred_attacker(tuple_R_in_2(X40,constr_h(constr_xor(constr_xor(name_r0x30,X40),name_k))))
=> pred_attacker(tuple_R_out_4(name_objective_R)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax106) ).
fof(ax68,axiom,
! [X3,X4] : constr_xor(X3,X4) = constr_xor(X4,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(ax67,axiom,
! [X2] : constr_xor(X2,constr_ZERO) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(ax69,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',ax69) ).
fof(ax88,axiom,
! [X27,X28] :
( ( pred_attacker(X27)
& pred_attacker(X28) )
=> pred_attacker(tuple_R_in_2(X27,X28)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
fof(ax66,axiom,
! [X1] : constr_xor(X1,X1) = constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(ax76,axiom,
! [X16,X17] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X16,X17))
=> pred_attacker(X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
fof(ax102,axiom,
pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(constr_xor(name_r0x30_from_1st,name_r1_from_1st),name_k)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
fof(ax83,axiom,
! [X22] :
( pred_attacker(tuple_R_out_4(X22))
=> pred_attacker(X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(co0,conjecture,
pred_attacker(name_objective_R),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(ax87,axiom,
! [X26] :
( pred_attacker(tuple_R_out_1(X26))
=> pred_attacker(X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
fof(ax70,axiom,
! [X8,X9] :
( ( pred_attacker(X8)
& pred_attacker(X9) )
=> pred_attacker(constr_xor(X8,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(ax104,axiom,
pred_attacker(tuple_R_out_1(name_r0x30)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax104) ).
fof(ax75,axiom,
! [X14,X15] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X14,X15))
=> pred_attacker(X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(ax78,axiom,
! [X19] :
( pred_attacker(tuple_knowledge_from_1st_round_out_1(X19))
=> pred_attacker(X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(ax101,axiom,
pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r0x30_from_1st)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax101) ).
fof(c_0_16,plain,
! [X120] :
( ~ pred_attacker(tuple_R_in_2(X120,constr_h(constr_xor(constr_xor(name_r0x30,X120),name_k))))
| pred_attacker(tuple_R_out_4(name_objective_R)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax106])]) ).
fof(c_0_17,plain,
! [X83,X84] : constr_xor(X83,X84) = constr_xor(X84,X83),
inference(variable_rename,[status(thm)],[ax68]) ).
fof(c_0_18,plain,
! [X82] : constr_xor(X82,constr_ZERO) = X82,
inference(variable_rename,[status(thm)],[ax67]) ).
fof(c_0_19,plain,
! [X85,X86,X87] : constr_xor(X85,constr_xor(X86,X87)) = constr_xor(constr_xor(X85,X86),X87),
inference(variable_rename,[status(thm)],[ax69]) ).
cnf(c_0_20,plain,
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ pred_attacker(tuple_R_in_2(X1,constr_h(constr_xor(constr_xor(name_r0x30,X1),name_k)))) ),
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,
! [X107,X108] :
( ~ pred_attacker(X107)
| ~ pred_attacker(X108)
| pred_attacker(tuple_R_in_2(X107,X108)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])]) ).
fof(c_0_23,plain,
! [X81] : constr_xor(X81,X81) = constr_ZERO,
inference(variable_rename,[status(thm)],[ax66]) ).
cnf(c_0_24,plain,
constr_xor(X1,constr_ZERO) = X1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X96,X97] :
( ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X96,X97))
| pred_attacker(X97) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])]) ).
cnf(c_0_26,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(constr_xor(name_r0x30_from_1st,name_r1_from_1st),name_k)))),
inference(split_conjunct,[status(thm)],[ax102]) ).
cnf(c_0_27,plain,
constr_xor(X1,constr_xor(X2,X3)) = constr_xor(constr_xor(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ pred_attacker(tuple_R_in_2(X1,constr_h(constr_xor(name_k,constr_xor(name_r0x30,X1))))) ),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
( pred_attacker(tuple_R_in_2(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
constr_xor(X1,X1) = constr_ZERO,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
constr_xor(constr_ZERO,X1) = X1,
inference(spm,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_32,plain,
( pred_attacker(X2)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(name_r0x30_from_1st,constr_xor(name_k,name_r1_from_1st))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_21]) ).
cnf(c_0_34,plain,
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30,X1))))
| ~ pred_attacker(X1) ),
inference(spm,[status(thm)],[c_0_28,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_27,c_0_30]),c_0_31]) ).
cnf(c_0_36,plain,
pred_attacker(constr_h(constr_xor(name_r0x30_from_1st,constr_xor(name_k,name_r1_from_1st)))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
constr_xor(X1,constr_xor(X2,X3)) = constr_xor(X2,constr_xor(X3,X1)),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
fof(c_0_38,plain,
! [X102] :
( ~ pred_attacker(tuple_R_out_4(X102))
| pred_attacker(X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])]) ).
cnf(c_0_39,plain,
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ pred_attacker(constr_h(constr_xor(name_k,X1)))
| ~ pred_attacker(constr_xor(name_r0x30,X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30_from_1st,name_r1_from_1st)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_21]) ).
fof(c_0_41,negated_conjecture,
~ pred_attacker(name_objective_R),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).
fof(c_0_42,plain,
! [X106] :
( ~ pred_attacker(tuple_R_out_1(X106))
| pred_attacker(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])]) ).
cnf(c_0_43,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_R_out_4(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ pred_attacker(constr_xor(name_r0x30,constr_xor(name_r0x30_from_1st,name_r1_from_1st))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
~ pred_attacker(name_objective_R),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_46,plain,
! [X88,X89] :
( ~ pred_attacker(X88)
| ~ pred_attacker(X89)
| pred_attacker(constr_xor(X88,X89)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax70])]) ).
cnf(c_0_47,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_R_out_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
pred_attacker(tuple_R_out_1(name_r0x30)),
inference(split_conjunct,[status(thm)],[ax104]) ).
fof(c_0_49,plain,
! [X94,X95] :
( ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X94,X95))
| pred_attacker(X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])]) ).
fof(c_0_50,plain,
! [X99] :
( ~ pred_attacker(tuple_knowledge_from_1st_round_out_1(X99))
| pred_attacker(X99) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
cnf(c_0_51,plain,
~ pred_attacker(constr_xor(name_r0x30,constr_xor(name_r0x30_from_1st,name_r1_from_1st))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_52,plain,
( pred_attacker(constr_xor(X1,X2))
| ~ pred_attacker(X1)
| ~ pred_attacker(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
pred_attacker(name_r0x30),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( pred_attacker(X1)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r0x30_from_1st)),
inference(split_conjunct,[status(thm)],[ax101]) ).
cnf(c_0_57,plain,
~ pred_attacker(constr_xor(name_r0x30_from_1st,name_r1_from_1st)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_58,plain,
pred_attacker(name_r1_from_1st),
inference(spm,[status(thm)],[c_0_54,c_0_33]) ).
cnf(c_0_59,plain,
pred_attacker(name_r0x30_from_1st),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_52]),c_0_58]),c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW948+1 : TPTP v9.2.1. Released v7.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n013.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 07:35:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.32/1.74 % Version : CSE_E---1.7
% 1.32/1.74 % Problem : theBenchmark.p
% 1.32/1.74 % SZS status Theorem for theBenchmark.p
% 1.32/1.74 % SZS output start CNFRefutation
% See solution above
% 1.32/1.74 % Total time : 1.373s
%------------------------------------------------------------------------------