%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW952+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:30:34 PM UTC 2026
% Result : Theorem 7.46s 3.24s
% Output : CNFRefutation 7.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 107 ( 44 unt; 0 def)
% Number of atoms : 188 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 162 ( 81 ~; 70 |; 2 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 134 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
! [X0] : constr_xor(X0,X0) = constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(f93,axiom,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f94,axiom,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(f95,axiom,
! [X0,X1,X2] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(f96,axiom,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_xor(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f103,axiom,
! [X0,X1] :
( pred_attacker(tuple_sess_1_out_2(X0,X1))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax102) ).
fof(f104,axiom,
! [X0,X1] :
( pred_attacker(tuple_sess_1_out_2(X0,X1))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
fof(f106,axiom,
! [X0] :
( pred_attacker(tuple_sess_1_out_1(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax105) ).
fof(f110,axiom,
pred_attacker(constr_ZERO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax109) ).
fof(f112,axiom,
! [X0] :
( pred_attacker(tuple_R_out_4(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax111) ).
fof(f117,axiom,
! [X0,X1] :
( pred_attacker(tuple_R_out_1(X0,X1))
=> pred_attacker(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax116) ).
fof(f118,axiom,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_R_in_2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
fof(f132,axiom,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
fof(f133,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(f135,axiom,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax134) ).
fof(f136,axiom,
! [X0] :
( pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
=> pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax135) ).
fof(f137,axiom,
! [X0] :
( pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
=> pred_attacker(tuple_R_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax136) ).
fof(f138,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f139,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f138]) ).
fof(f140,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f139]) ).
fof(f142,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(constr_xor(X0,X1)) ),
inference(ennf_transformation,[],[f96]) ).
fof(f143,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(constr_xor(X0,X1)) ),
inference(flattening,[],[f142]) ).
fof(f150,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
| pred_attacker(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f151,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
| pred_attacker(X1) ),
inference(ennf_transformation,[],[f104]) ).
fof(f153,plain,
! [X0] :
( ~ pred_attacker(tuple_sess_1_out_1(X0))
| pred_attacker(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f158,plain,
! [X0] :
( ~ pred_attacker(tuple_R_out_4(X0))
| pred_attacker(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f164,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_R_out_1(X0,X1))
| pred_attacker(X1) ),
inference(ennf_transformation,[],[f117]) ).
fof(f165,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(tuple_R_in_2(X0,X1)) ),
inference(ennf_transformation,[],[f118]) ).
fof(f166,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(tuple_R_in_2(X0,X1)) ),
inference(flattening,[],[f165]) ).
fof(f173,plain,
! [X0] :
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
| pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))) ),
inference(ennf_transformation,[],[f136]) ).
fof(f174,plain,
! [X0] :
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
| pred_attacker(tuple_R_out_4(name_objective)) ),
inference(ennf_transformation,[],[f137]) ).
fof(f266,plain,
! [X0] : constr_ZERO = constr_xor(X0,X0),
inference(cnf_transformation,[],[f92]) ).
fof(f267,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f93]) ).
fof(f268,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f269,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(cnf_transformation,[],[f95]) ).
fof(f270,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(constr_xor(X0,X1)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f277,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f278,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f280,plain,
! [X0] :
( ~ pred_attacker(tuple_sess_1_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f284,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f110]) ).
fof(f286,plain,
! [X0] :
( ~ pred_attacker(tuple_R_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f291,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_R_out_1(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f292,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(tuple_R_in_2(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f305,plain,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
inference(cnf_transformation,[],[f132]) ).
fof(f306,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(cnf_transformation,[],[f133]) ).
fof(f308,plain,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
inference(cnf_transformation,[],[f135]) ).
fof(f309,plain,
! [X0] :
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
| pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))) ),
inference(cnf_transformation,[],[f173]) ).
fof(f310,plain,
! [X0] :
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
| pred_attacker(tuple_R_out_4(name_objective)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f311,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f140]) ).
tcf(c_140,plain,
! [X0: $i] : constr_xor(X0,X0) = constr_ZERO,
inference(cnf_transformation,[],[f266]) ).
tcf(c_141,plain,
! [X0: $i] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f267]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f268]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] : constr_xor(constr_xor(X0,X1),X2) = constr_xor(X0,constr_xor(X1,X2)),
inference(cnf_transformation,[],[f269]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_154,plain,
! [X0: $i] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_sess_1_out_1(X0)) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_158,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f284]) ).
tcf(c_160,plain,
! [X0: $i] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_4(X0)) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_R_out_1(X0,X1)) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_179,plain,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
inference(cnf_transformation,[],[f305]) ).
tcf(c_180,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(cnf_transformation,[],[f306]) ).
tcf(c_182,plain,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
inference(cnf_transformation,[],[f308]) ).
tcf(c_183,plain,
! [X0: $i] :
( pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k))))))
| ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_184,plain,
! [X0: $i] :
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X0),name_k))),constr_h(constr_xor(constr_xor(name_r1,X0),name_k)))))) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_185,negated_conjecture,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f311]) ).
tcf(c_213,plain,
pred_attacker(tuple_sess_1_out_2(name_r2_s1,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(theory_normalisation,[status(thm)],[c_180,c_143,c_142]) ).
tcf(c_215,plain,
! [X0: $i] :
( pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0))))))))
| ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0)))))))) ),
inference(theory_normalisation,[status(thm)],[c_183,c_143,c_142]) ).
tcf(c_216,plain,
! [X0: $i] :
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0)))))))) ),
inference(theory_normalisation,[status(thm)],[c_184,c_143,c_142]) ).
tcf(c_952,plain,
! [X0: $i] :
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0))))))))
| pred_attacker(tuple_R_out_4(name_objective)) ),
inference(prop_impl_just,[status(thm)],[c_216]) ).
tcf(c_953,plain,
! [X0: $i] :
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0)))))))) ),
inference(renaming,[status(thm)],[c_952]) ).
tcf(c_956,plain,
! [X0: $i] :
( pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0))))))))
| ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,X0))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,X0)))))))) ),
inference(prop_impl_just,[status(thm)],[c_215]) ).
tcf(c_2890,plain,
! [X0: $i,X1: $i,X2: $i] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(X1,constr_xor(X0,X2)),
inference(superposition,[status(thm)],[c_143,c_142]) ).
tcf(c_2945,plain,
pred_attacker(name_r1_s1),
inference(superposition,[status(thm)],[c_179,c_154]) ).
tcf(c_2972,plain,
pred_attacker(name_r2_s1),
inference(superposition,[status(thm)],[c_213,c_151]) ).
tcf(c_2977,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(superposition,[status(thm)],[c_213,c_152]) ).
tcf(c_2994,plain,
pred_attacker(name_r1),
inference(superposition,[status(thm)],[c_182,c_165]) ).
tcf(c_3008,plain,
! [X0: $i] : constr_xor(constr_ZERO,X0) = X0,
inference(superposition,[status(thm)],[c_142,c_141]) ).
tcf(c_3086,plain,
! [X0: $i,X1: $i] : constr_xor(X0,constr_xor(X0,X1)) = constr_xor(constr_ZERO,X1),
inference(superposition,[status(thm)],[c_140,c_143]) ).
tcf(c_3100,plain,
! [X0: $i,X1: $i] : constr_xor(X0,constr_xor(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3086,c_3008]) ).
tcf(c_3109,plain,
! [X0: $i,X1: $i] :
( pred_attacker(X1)
| ~ pred_attacker(X0)
| ~ pred_attacker(constr_xor(X0,X1)) ),
inference(superposition,[status(thm)],[c_3100,c_144]) ).
tcf(c_3111,plain,
! [X0: $i] :
( pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,constr_xor(name_r1,X0)))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,constr_xor(name_r1,X0)))))))))
| ~ pred_attacker(tuple_R_in_2(constr_xor(name_r1,X0),constr_split_L(constr_xor(constr_h(constr_xor(name_k,X0)),constr_rotate(name_ID,constr_h(constr_xor(name_k,X0))))))) ),
inference(superposition,[status(thm)],[c_3100,c_956]) ).
tcf(c_3112,plain,
! [X0: $i] :
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(constr_xor(name_r1,X0),constr_split_L(constr_xor(constr_h(constr_xor(name_k,X0)),constr_rotate(name_ID,constr_h(constr_xor(name_k,X0))))))) ),
inference(superposition,[status(thm)],[c_3100,c_953]) ).
tcf(c_3151,plain,
! [X0: $i,X1: $i,X2: $i] :
( pred_attacker(X2)
| ~ pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(constr_xor(X0,constr_xor(X1,X2))) ),
inference(superposition,[status(thm)],[c_143,c_3109]) ).
tcf(c_3349,plain,
! [X0: $i,X1: $i] :
( pred_attacker(X1)
| ~ pred_attacker(constr_ZERO)
| ~ pred_attacker(constr_xor(constr_xor(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_140,c_3151]) ).
tcf(c_3368,plain,
! [X0: $i,X1: $i] :
( pred_attacker(X1)
| ~ pred_attacker(constr_ZERO)
| ~ pred_attacker(constr_xor(X0,constr_xor(X1,X0))) ),
inference(theory_normalisation,[status(thm)],[c_3349,c_143,c_142]) ).
tcf(c_3369,plain,
! [X0: $i,X1: $i] :
( pred_attacker(X1)
| ~ pred_attacker(constr_xor(X0,constr_xor(X1,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3368,c_158]) ).
tcf(c_3410,plain,
! [X0: $i,X1: $i,X2: $i] :
( pred_attacker(constr_xor(X1,X2))
| ~ pred_attacker(constr_xor(X0,constr_xor(X1,constr_xor(X2,X0)))) ),
inference(superposition,[status(thm)],[c_143,c_3369]) ).
tcf(c_3521,plain,
! [X0: $i,X1: $i] :
( pred_attacker(constr_xor(constr_xor(X1,X0),X1))
| ~ pred_attacker(constr_xor(X0,constr_ZERO)) ),
inference(superposition,[status(thm)],[c_140,c_3410]) ).
tcf(c_3550,plain,
! [X0: $i,X1: $i] :
( pred_attacker(constr_xor(X1,constr_xor(X0,X1)))
| ~ pred_attacker(constr_xor(X0,constr_ZERO)) ),
inference(theory_normalisation,[status(thm)],[c_3521,c_143,c_142]) ).
tcf(c_3551,plain,
! [X0: $i,X1: $i] :
( pred_attacker(constr_xor(X1,constr_xor(X0,X1)))
| ~ pred_attacker(X0) ),
inference(light_normalisation,[status(thm)],[c_3550,c_141]) ).
tcf(c_3612,plain,
! [X0: $i,X1: $i,X2: $i] :
( pred_attacker(constr_xor(X1,constr_xor(X2,constr_xor(X0,constr_xor(X1,X2)))))
| ~ pred_attacker(X0) ),
inference(superposition,[status(thm)],[c_143,c_3551]) ).
tcf(c_4689,plain,
! [X0: $i,X1: $i,X2: $i] :
( pred_attacker(constr_xor(X2,constr_xor(X0,constr_xor(X1,X2))))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(superposition,[status(thm)],[c_3612,c_3109]) ).
tcf(c_6219,plain,
! [X0: $i] :
( pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,X0)),constr_rotate(name_ID,constr_h(constr_xor(name_k,X0)))))))
| ~ pred_attacker(tuple_R_in_2(constr_xor(name_r1,X0),constr_split_L(constr_xor(constr_h(constr_xor(name_k,X0)),constr_rotate(name_ID,constr_h(constr_xor(name_k,X0))))))) ),
inference(demodulation,[status(thm)],[c_3111,c_3100]) ).
tcf(c_6231,plain,
! [X0: $i,X1: $i] :
( pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,X1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,X1))))))))
| ~ pred_attacker(tuple_R_in_2(constr_xor(X0,constr_xor(name_r1,X1)),constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,X1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,X1)))))))) ),
inference(superposition,[status(thm)],[c_2890,c_6219]) ).
tcf(c_6811,plain,
! [X0: $i,X1: $i] :
( pred_attacker(tuple_R_out_4(name_objective))
| ~ pred_attacker(tuple_R_in_2(constr_xor(X0,constr_xor(name_r1,X1)),constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,X1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,X1)))))))) ),
inference(superposition,[status(thm)],[c_2890,c_3112]) ).
tcf(c_8313,plain,
! [X0: $i,X1: $i,X2: $i] :
( pred_attacker(constr_xor(X0,constr_xor(X1,X2)))
| ~ pred_attacker(X2)
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(superposition,[status(thm)],[c_4689,c_3109]) ).
tcf(c_15401,plain,
( pred_attacker(name_objective)
| ~ pred_attacker(tuple_R_out_4(name_objective)) ),
inference(instantiation,[status(thm)],[c_160]) ).
tcf(c_66036,plain,
! [X0: $i,X1: $i] : ~ pred_attacker(tuple_R_in_2(constr_xor(X0,constr_xor(name_r1,X1)),constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,X1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,X1)))))))),
inference(global_subsumption_just,[status(thm)],[c_6231,c_185,c_6811,c_15401]) ).
tcf(c_66068,plain,
! [X0: $i] : ~ pred_attacker(tuple_R_in_2(constr_xor(name_k,constr_xor(name_r1,X0)),constr_split_L(constr_xor(constr_h(X0),constr_rotate(name_ID,constr_h(X0)))))),
inference(superposition,[status(thm)],[c_3100,c_66036]) ).
tcf(c_66108,plain,
! [X0: $i] :
( ~ pred_attacker(constr_xor(name_k,constr_xor(name_r1,X0)))
| ~ pred_attacker(constr_split_L(constr_xor(constr_h(X0),constr_rotate(name_ID,constr_h(X0))))) ),
inference(superposition,[status(thm)],[c_166,c_66068]) ).
tcf(c_68744,plain,
~ pred_attacker(constr_xor(name_k,constr_xor(name_r1,constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1))))),
inference(superposition,[status(thm)],[c_2977,c_66108]) ).
tcf(c_68745,plain,
~ pred_attacker(constr_xor(name_k,constr_xor(name_k,constr_xor(name_r1,constr_xor(name_r1_s1,name_r2_s1))))),
inference(theory_normalisation,[status(thm)],[c_68744,c_143,c_142]) ).
tcf(c_68748,plain,
~ pred_attacker(constr_xor(name_r1,constr_xor(name_r1_s1,name_r2_s1))),
inference(demodulation,[status(thm)],[c_68745,c_3100]) ).
tcf(c_68750,plain,
( ~ pred_attacker(name_r2_s1)
| ~ pred_attacker(name_r1_s1)
| ~ pred_attacker(name_r1) ),
inference(superposition,[status(thm)],[c_8313,c_68748]) ).
tcf(c_68762,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_68750,c_2972,c_2945,c_2994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW952+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 23:16:51 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40
% 0.15/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.40
% 0.15/0.40 % Detected problem language: tptp
% 0.15/0.42 % Proving...
% 7.46/3.24 % SZS status Started for theBenchmark.p
% 7.46/3.24 % SZS status Theorem for theBenchmark.p
% 7.46/3.24
% 7.46/3.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.46/3.24
% 7.46/3.24 % ------ iProver source info
% 7.46/3.24
% 7.46/3.24 % git: date: 2026-07-19 20:42:38 +0200
% 7.46/3.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.46/3.24 % git: non_committed_changes: false
% 7.46/3.24
% 7.46/3.24 % ------ Parsing...
% 7.46/3.24 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.46/3.24
% 7.46/3.24 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 7.46/3.24
% 7.46/3.24 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.46/3.24
% 7.46/3.24 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.46/3.24 % ------ Proving...
% 7.46/3.24 % ------ Problem Properties
% 7.46/3.24
% 7.46/3.24 %
% 7.46/3.24 % clauses 135
% 7.46/3.24 % conjectures 1
% 7.46/3.24 % EPR 102
% 7.46/3.24 % Horn 135
% 7.46/3.24 % unary 111
% 7.46/3.24 % binary 19
% 7.46/3.24 % lits 164
% 7.46/3.24 % lits eq 95
% 7.46/3.24 % fd_pure 0
% 7.46/3.24 % fd_pseudo 0
% 7.46/3.24 % fd_cond 0
% 7.46/3.24 % fd_pseudo_cond 0
% 7.46/3.24 % AC symbols 1
% 7.46/3.24
% 7.46/3.24 % ------ Schedule dynamic 5 is on
% 7.46/3.24
% 7.46/3.24 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.46/3.24
% 7.46/3.24
% 7.46/3.24 % ------
% 7.46/3.24 % Current options:
% 7.46/3.24 % ------
% 7.46/3.24
% 7.46/3.24
% 7.46/3.24 %
% 7.46/3.24
% 7.46/3.24 % ------ Proving...
% 7.46/3.24 %
% 7.46/3.24
% 7.46/3.24 % SZS status Theorem for theBenchmark.p
% 7.46/3.24
% 7.46/3.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.46/3.24
% 7.46/3.24
%------------------------------------------------------------------------------