TSTP Solution File: SWW952+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW952+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 : Mon Jun 24 18:18:57 EDT 2024
% Result : Theorem 10.18s 2.15s
% Output : CNFRefutation 10.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 120 ( 47 unt; 0 def)
% Number of atoms : 214 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 178 ( 84 ~; 72 |; 4 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% 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 : 151 ( 3 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
! [X0] : constr_ZERO = constr_xor(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
fof(f93,axiom,
! [X1] : constr_xor(X1,constr_ZERO) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
fof(f94,axiom,
! [X2,X3] : constr_xor(X2,X3) = constr_xor(X3,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(f95,axiom,
! [X4,X5,X6] : constr_xor(X4,constr_xor(X5,X6)) = constr_xor(constr_xor(X4,X5),X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
fof(f96,axiom,
! [X7,X8] :
( ( pred_attacker(X8)
& pred_attacker(X7) )
=> pred_attacker(constr_xor(X7,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
fof(f103,axiom,
! [X15,X16] :
( pred_attacker(tuple_sess_1_out_2(X15,X16))
=> pred_attacker(X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).
fof(f104,axiom,
! [X17,X18] :
( pred_attacker(tuple_sess_1_out_2(X17,X18))
=> pred_attacker(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).
fof(f106,axiom,
! [X20] :
( pred_attacker(tuple_sess_1_out_1(X20))
=> pred_attacker(X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).
fof(f110,axiom,
pred_attacker(constr_ZERO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).
fof(f112,axiom,
! [X25] :
( pred_attacker(tuple_R_out_4(X25))
=> pred_attacker(X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).
fof(f117,axiom,
! [X32,X33] :
( pred_attacker(tuple_R_out_1(X32,X33))
=> pred_attacker(X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax116) ).
fof(f118,axiom,
! [X34,X35] :
( ( pred_attacker(X35)
& pred_attacker(X34) )
=> pred_attacker(tuple_R_in_2(X34,X35)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).
fof(f132,axiom,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax132) ).
fof(f135,axiom,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax134) ).
fof(f136,axiom,
! [X46] :
( pred_attacker(tuple_R_in_2(X46,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X46),name_k))),constr_h(constr_xor(constr_xor(name_r1,X46),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,X46),name_k))),constr_h(constr_xor(constr_xor(name_r1,X46),name_k)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax135) ).
fof(f137,axiom,
! [X47] :
( pred_attacker(tuple_R_in_2(X47,constr_split_L(constr_xor(constr_rotate(name_ID,constr_h(constr_xor(constr_xor(name_r1,X47),name_k))),constr_h(constr_xor(constr_xor(name_r1,X47),name_k))))))
=> pred_attacker(tuple_R_out_4(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax136) ).
fof(f138,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(f139,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[],[f138]) ).
fof(f140,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(rectify,[],[f93]) ).
fof(f141,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(rectify,[],[f94]) ).
fof(f142,plain,
! [X0,X1,X2] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(rectify,[],[f95]) ).
fof(f143,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_xor(X0,X1)) ),
inference(rectify,[],[f96]) ).
fof(f149,plain,
! [X0,X1] :
( pred_attacker(tuple_sess_1_out_2(X0,X1))
=> pred_attacker(X0) ),
inference(rectify,[],[f103]) ).
fof(f150,plain,
! [X0,X1] :
( pred_attacker(tuple_sess_1_out_2(X0,X1))
=> pred_attacker(X1) ),
inference(rectify,[],[f104]) ).
fof(f152,plain,
! [X0] :
( pred_attacker(tuple_sess_1_out_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f106]) ).
fof(f156,plain,
! [X0] :
( pred_attacker(tuple_R_out_4(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f112]) ).
fof(f161,plain,
! [X0,X1] :
( pred_attacker(tuple_R_out_1(X0,X1))
=> pred_attacker(X1) ),
inference(rectify,[],[f117]) ).
fof(f162,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_R_in_2(X0,X1)) ),
inference(rectify,[],[f118]) ).
fof(f169,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(rectify,[],[f136]) ).
fof(f170,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(rectify,[],[f137]) ).
fof(f171,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f139]) ).
fof(f173,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f143]) ).
fof(f174,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f173]) ).
fof(f181,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
inference(ennf_transformation,[],[f149]) ).
fof(f182,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
inference(ennf_transformation,[],[f150]) ).
fof(f184,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_sess_1_out_1(X0)) ),
inference(ennf_transformation,[],[f152]) ).
fof(f189,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_4(X0)) ),
inference(ennf_transformation,[],[f156]) ).
fof(f195,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_R_out_1(X0,X1)) ),
inference(ennf_transformation,[],[f161]) ).
fof(f196,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f162]) ).
fof(f197,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f196]) ).
fof(f204,plain,
! [X0] :
( 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(ennf_transformation,[],[f169]) ).
fof(f205,plain,
! [X0] :
( 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(ennf_transformation,[],[f170]) ).
fof(f297,plain,
! [X0] : constr_ZERO = constr_xor(X0,X0),
inference(cnf_transformation,[],[f92]) ).
fof(f298,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f140]) ).
fof(f299,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f141]) ).
fof(f300,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(cnf_transformation,[],[f142]) ).
fof(f301,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f308,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f309,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_sess_1_out_2(X0,X1)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f311,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_sess_1_out_1(X0)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f315,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f110]) ).
fof(f317,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_4(X0)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f322,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_R_out_1(X0,X1)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f323,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f336,plain,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
inference(cnf_transformation,[],[f132]) ).
fof(f337,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(f339,plain,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
inference(cnf_transformation,[],[f135]) ).
fof(f340,plain,
! [X0] :
( 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,[],[f204]) ).
fof(f341,plain,
! [X0] :
( 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,[],[f205]) ).
fof(f342,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f171]) ).
cnf(c_140,plain,
constr_xor(X0,X0) = constr_ZERO,
inference(cnf_transformation,[],[f297]) ).
cnf(c_141,plain,
constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f298]) ).
cnf(c_142,plain,
constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f299]) ).
cnf(c_143,plain,
constr_xor(constr_xor(X0,X1),X2) = constr_xor(X0,constr_xor(X1,X2)),
inference(cnf_transformation,[],[f300]) ).
cnf(c_144,plain,
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| pred_attacker(constr_xor(X0,X1)) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_151,plain,
( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_152,plain,
( ~ pred_attacker(tuple_sess_1_out_2(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f309]) ).
cnf(c_154,plain,
( ~ pred_attacker(tuple_sess_1_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f311]) ).
cnf(c_158,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f315]) ).
cnf(c_160,plain,
( ~ pred_attacker(tuple_R_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f317]) ).
cnf(c_165,plain,
( ~ pred_attacker(tuple_R_out_1(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_166,plain,
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| pred_attacker(tuple_R_in_2(X0,X1)) ),
inference(cnf_transformation,[],[f323]) ).
cnf(c_179,plain,
pred_attacker(tuple_sess_1_out_1(name_r1_s1)),
inference(cnf_transformation,[],[f336]) ).
cnf(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,[],[f337]) ).
cnf(c_182,plain,
pred_attacker(tuple_R_out_1(constr_QUERY,name_r1)),
inference(cnf_transformation,[],[f339]) ).
cnf(c_183,plain,
( ~ 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,[],[f340]) ).
cnf(c_184,plain,
( ~ 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,[],[f341]) ).
cnf(c_185,negated_conjecture,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f342]) ).
cnf(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]) ).
cnf(c_215,plain,
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,name_r1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,name_r1))))))))
| pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,name_r1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,name_r1)))))))) ),
inference(theory_normalisation,[status(thm)],[c_183,c_143,c_142]) ).
cnf(c_216,plain,
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,name_r1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,name_r1))))))))
| pred_attacker(tuple_R_out_4(name_objective)) ),
inference(theory_normalisation,[status(thm)],[c_184,c_143,c_142]) ).
cnf(c_952,plain,
( 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(X0,name_r1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,name_r1)))))))) ),
inference(prop_impl_just,[status(thm)],[c_216]) ).
cnf(c_953,plain,
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,name_r1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,name_r1))))))))
| pred_attacker(tuple_R_out_4(name_objective)) ),
inference(renaming,[status(thm)],[c_952]) ).
cnf(c_956,plain,
( ~ pred_attacker(tuple_R_in_2(X0,constr_split_L(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,name_r1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,name_r1))))))))
| pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,name_r1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,name_r1)))))))) ),
inference(prop_impl_just,[status(thm)],[c_215]) ).
cnf(c_2939,plain,
pred_attacker(name_r1_s1),
inference(superposition,[status(thm)],[c_179,c_154]) ).
cnf(c_2966,plain,
pred_attacker(name_r2_s1),
inference(superposition,[status(thm)],[c_213,c_151]) ).
cnf(c_2971,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]) ).
cnf(c_2988,plain,
pred_attacker(name_r1),
inference(superposition,[status(thm)],[c_182,c_165]) ).
cnf(c_3002,plain,
constr_xor(constr_ZERO,X0) = X0,
inference(superposition,[status(thm)],[c_142,c_141]) ).
cnf(c_3003,plain,
( ~ 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_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,constr_xor(X0,name_r1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(X0,name_r1)))))))) ),
inference(superposition,[status(thm)],[c_142,c_956]) ).
cnf(c_3004,plain,
( ~ 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(superposition,[status(thm)],[c_142,c_953]) ).
cnf(c_3031,plain,
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| pred_attacker(constr_xor(X1,X0)) ),
inference(superposition,[status(thm)],[c_142,c_144]) ).
cnf(c_3101,plain,
constr_xor(X0,constr_xor(X0,X1)) = constr_xor(constr_ZERO,X1),
inference(superposition,[status(thm)],[c_140,c_143]) ).
cnf(c_3124,plain,
constr_xor(X0,constr_xor(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3101,c_3002]) ).
cnf(c_3133,plain,
( ~ pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X0)
| pred_attacker(X1) ),
inference(superposition,[status(thm)],[c_3124,c_3031]) ).
cnf(c_3200,plain,
( ~ pred_attacker(constr_xor(X0,constr_xor(X1,X2)))
| ~ pred_attacker(constr_xor(X0,X1))
| pred_attacker(X2) ),
inference(superposition,[status(thm)],[c_143,c_3133]) ).
cnf(c_3350,plain,
( ~ pred_attacker(constr_xor(constr_xor(X0,X1),X0))
| ~ pred_attacker(constr_ZERO)
| pred_attacker(X1) ),
inference(superposition,[status(thm)],[c_140,c_3200]) ).
cnf(c_3369,plain,
( ~ pred_attacker(constr_xor(X0,constr_xor(X1,X0)))
| ~ pred_attacker(constr_ZERO)
| pred_attacker(X1) ),
inference(theory_normalisation,[status(thm)],[c_3350,c_143,c_142]) ).
cnf(c_3370,plain,
( ~ pred_attacker(constr_xor(X0,constr_xor(X1,X0)))
| pred_attacker(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3369,c_158]) ).
cnf(c_3411,plain,
( ~ pred_attacker(constr_xor(X0,constr_xor(X1,constr_xor(X2,X0))))
| pred_attacker(constr_xor(X1,X2)) ),
inference(superposition,[status(thm)],[c_143,c_3370]) ).
cnf(c_3522,plain,
( ~ pred_attacker(constr_xor(X0,constr_ZERO))
| pred_attacker(constr_xor(constr_xor(X1,X0),X1)) ),
inference(superposition,[status(thm)],[c_140,c_3411]) ).
cnf(c_3551,plain,
( ~ pred_attacker(constr_xor(X0,constr_ZERO))
| pred_attacker(constr_xor(X1,constr_xor(X0,X1))) ),
inference(theory_normalisation,[status(thm)],[c_3522,c_143,c_142]) ).
cnf(c_3552,plain,
( ~ pred_attacker(X0)
| pred_attacker(constr_xor(X1,constr_xor(X0,X1))) ),
inference(light_normalisation,[status(thm)],[c_3551,c_141]) ).
cnf(c_3613,plain,
( ~ pred_attacker(X0)
| pred_attacker(constr_xor(X1,constr_xor(X2,constr_xor(X0,constr_xor(X1,X2))))) ),
inference(superposition,[status(thm)],[c_143,c_3552]) ).
cnf(c_3666,plain,
( ~ 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)))))))
| pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,constr_xor(constr_xor(name_r1,X0),name_r1))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(constr_xor(name_r1,X0),name_r1)))))))) ),
inference(superposition,[status(thm)],[c_3124,c_3003]) ).
cnf(c_3672,plain,
( ~ 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)))))))
| pred_attacker(tuple_R_out_3(constr_split_R(constr_xor(constr_h(constr_xor(name_k,constr_xor(name_r1,constr_xor(X0,name_r1)))),constr_rotate(name_ID,constr_h(constr_xor(name_k,constr_xor(name_r1,constr_xor(X0,name_r1))))))))) ),
inference(theory_normalisation,[status(thm)],[c_3666,c_143,c_142]) ).
cnf(c_4035,plain,
( ~ 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)))))))
| pred_attacker(tuple_R_out_4(name_objective)) ),
inference(superposition,[status(thm)],[c_3124,c_3004]) ).
cnf(c_4707,plain,
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| pred_attacker(constr_xor(X2,constr_xor(X0,constr_xor(X1,X2)))) ),
inference(superposition,[status(thm)],[c_3613,c_3133]) ).
cnf(c_8985,plain,
( ~ pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(X2)
| pred_attacker(constr_xor(X0,constr_xor(X1,X2))) ),
inference(superposition,[status(thm)],[c_4707,c_3133]) ).
cnf(c_15498,plain,
( ~ pred_attacker(tuple_R_out_4(name_objective))
| pred_attacker(name_objective) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_20467,plain,
~ 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(global_subsumption_just,[status(thm)],[c_3672,c_185,c_4035,c_15498]) ).
cnf(c_20491,plain,
~ pred_attacker(tuple_R_in_2(constr_xor(name_r1,constr_xor(name_k,X0)),constr_split_L(constr_xor(constr_h(X0),constr_rotate(name_ID,constr_h(X0)))))),
inference(superposition,[status(thm)],[c_3124,c_20467]) ).
cnf(c_20494,plain,
~ pred_attacker(tuple_R_in_2(constr_xor(name_k,constr_xor(X0,name_r1)),constr_split_L(constr_xor(constr_h(X0),constr_rotate(name_ID,constr_h(X0)))))),
inference(theory_normalisation,[status(thm)],[c_20491,c_143,c_142]) ).
cnf(c_27825,plain,
( ~ pred_attacker(constr_split_L(constr_xor(constr_h(X0),constr_rotate(name_ID,constr_h(X0)))))
| ~ pred_attacker(constr_xor(name_k,constr_xor(X0,name_r1))) ),
inference(superposition,[status(thm)],[c_166,c_20494]) ).
cnf(c_56429,plain,
~ pred_attacker(constr_xor(name_k,constr_xor(constr_xor(name_k,constr_xor(name_r1_s1,name_r2_s1)),name_r1))),
inference(superposition,[status(thm)],[c_2971,c_27825]) ).
cnf(c_56430,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_56429,c_143,c_142]) ).
cnf(c_56433,plain,
~ pred_attacker(constr_xor(name_r1,constr_xor(name_r1_s1,name_r2_s1))),
inference(demodulation,[status(thm)],[c_56430,c_3124]) ).
cnf(c_56435,plain,
( ~ pred_attacker(name_r1)
| ~ pred_attacker(name_r1_s1)
| ~ pred_attacker(name_r2_s1) ),
inference(superposition,[status(thm)],[c_8985,c_56433]) ).
cnf(c_56447,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_56435,c_2966,c_2939,c_2988]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW952+1 : TPTP v8.2.0. Released v7.4.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 08:10:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.18/2.15 % SZS status Started for theBenchmark.p
% 10.18/2.15 % SZS status Theorem for theBenchmark.p
% 10.18/2.15
% 10.18/2.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.18/2.15
% 10.18/2.15 ------ iProver source info
% 10.18/2.15
% 10.18/2.15 git: date: 2024-06-12 09:56:46 +0000
% 10.18/2.15 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 10.18/2.15 git: non_committed_changes: false
% 10.18/2.15
% 10.18/2.15 ------ Parsing...
% 10.18/2.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.18/2.15
% 10.18/2.15 ------ 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
% 10.18/2.15
% 10.18/2.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.18/2.15
% 10.18/2.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.18/2.15 ------ Proving...
% 10.18/2.15 ------ Problem Properties
% 10.18/2.15
% 10.18/2.15
% 10.18/2.15 clauses 135
% 10.18/2.15 conjectures 1
% 10.18/2.15 EPR 102
% 10.18/2.15 Horn 135
% 10.18/2.15 unary 111
% 10.18/2.15 binary 19
% 10.18/2.15 lits 164
% 10.18/2.15 lits eq 95
% 10.18/2.15 fd_pure 0
% 10.18/2.15 fd_pseudo 0
% 10.18/2.15 fd_cond 0
% 10.18/2.15 fd_pseudo_cond 0
% 10.18/2.15 AC symbols 1
% 10.18/2.15
% 10.18/2.15 ------ Schedule dynamic 5 is on
% 10.18/2.15
% 10.18/2.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.18/2.15
% 10.18/2.15
% 10.18/2.15 ------
% 10.18/2.15 Current options:
% 10.18/2.15 ------
% 10.18/2.15
% 10.18/2.15
% 10.18/2.15
% 10.18/2.15
% 10.18/2.15 ------ Proving...
% 10.18/2.15
% 10.18/2.15
% 10.18/2.15 % SZS status Theorem for theBenchmark.p
% 10.18/2.15
% 10.18/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.18/2.15
% 10.18/2.15
%------------------------------------------------------------------------------