TSTP Solution File: SWW948+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW948+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 Apr 30 17:49:10 EDT 2024
% Result : Theorem 0.12s 0.40s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 82 ( 32 unt; 0 def)
% Number of atoms : 146 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 119 ( 55 ~; 42 |; 4 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f952,plain,
$false,
inference(avatar_sat_refutation,[],[f661,f948,f951]) ).
fof(f951,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f950,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f949,f166]) ).
fof(f166,plain,
~ pred_attacker(name_objective_R),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
~ pred_attacker(name_objective_R),
inference(flattening,[],[f109]) ).
fof(f109,negated_conjecture,
~ pred_attacker(name_objective_R),
inference(negated_conjecture,[],[f108]) ).
fof(f108,conjecture,
pred_attacker(name_objective_R),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(f949,plain,
( pred_attacker(name_objective_R)
| ~ spl0_1 ),
inference(resolution,[],[f657,f255]) ).
fof(f255,plain,
! [X0] :
( ~ pred_attacker(tuple_R_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_4(X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( pred_attacker(tuple_R_out_4(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X21] :
( pred_attacker(tuple_R_out_4(X21))
=> pred_attacker(X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f657,plain,
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f655,plain,
( spl0_1
<=> pred_attacker(tuple_R_out_4(name_objective_R)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f948,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f947,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f946,f274]) ).
fof(f274,plain,
pred_attacker(name_r0x30_from_1st),
inference(resolution,[],[f256,f242]) ).
fof(f242,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r0x30_from_1st)),
inference(cnf_transformation,[],[f102]) ).
fof(f102,axiom,
pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r0x30_from_1st)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).
fof(f256,plain,
! [X0] :
( ~ pred_attacker(tuple_knowledge_from_1st_round_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_1(X0)) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( pred_attacker(tuple_knowledge_from_1st_round_out_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X18] :
( pred_attacker(tuple_knowledge_from_1st_round_out_1(X18))
=> pred_attacker(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f946,plain,
( ~ pred_attacker(name_r0x30_from_1st)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f945,f299]) ).
fof(f299,plain,
pred_attacker(name_r1_from_1st),
inference(resolution,[],[f298,f264]) ).
fof(f264,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1)) ),
inference(ennf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1))
=> pred_attacker(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X13,X14] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X13,X14))
=> pred_attacker(X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
fof(f298,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(name_k,constr_xor(name_r0x30_from_1st,name_r1_from_1st))))),
inference(forward_demodulation,[],[f244,f262]) ).
fof(f262,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X2,X3] : constr_xor(X2,X3) = constr_xor(X3,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f244,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(cnf_transformation,[],[f103]) ).
fof(f103,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/sandbox2/benchmark/theBenchmark.p',ax102) ).
fof(f945,plain,
( ~ pred_attacker(name_r1_from_1st)
| ~ pred_attacker(name_r0x30_from_1st)
| ~ spl0_2 ),
inference(resolution,[],[f944,f270]) ).
fof(f270,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_xor(X0,X1)) ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X7,X8] :
( ( pred_attacker(X8)
& pred_attacker(X7) )
=> pred_attacker(constr_xor(X7,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
fof(f944,plain,
( ~ pred_attacker(constr_xor(name_r0x30_from_1st,name_r1_from_1st))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f943,f278]) ).
fof(f278,plain,
pred_attacker(name_r0x30),
inference(resolution,[],[f259,f243]) ).
fof(f243,plain,
pred_attacker(tuple_R_out_1(name_r0x30)),
inference(cnf_transformation,[],[f105]) ).
fof(f105,axiom,
pred_attacker(tuple_R_out_1(name_r0x30)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).
fof(f259,plain,
! [X0] :
( ~ pred_attacker(tuple_R_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_1(X0)) ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( pred_attacker(tuple_R_out_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X25] :
( pred_attacker(tuple_R_out_1(X25))
=> pred_attacker(X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
fof(f943,plain,
( ~ pred_attacker(constr_xor(name_r0x30_from_1st,name_r1_from_1st))
| ~ pred_attacker(name_r0x30)
| ~ spl0_2 ),
inference(resolution,[],[f930,f270]) ).
fof(f930,plain,
( ~ pred_attacker(constr_xor(name_r0x30,constr_xor(name_r0x30_from_1st,name_r1_from_1st)))
| ~ spl0_2 ),
inference(resolution,[],[f719,f300]) ).
fof(f300,plain,
pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30_from_1st,name_r1_from_1st)))),
inference(resolution,[],[f298,f263]) ).
fof(f263,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1)) ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1))
=> pred_attacker(X1) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X15,X16] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X15,X16))
=> pred_attacker(X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
fof(f719,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(name_k,X0)))
| ~ pred_attacker(constr_xor(name_r0x30,X0)) )
| ~ spl0_2 ),
inference(superposition,[],[f691,f316]) ).
fof(f316,plain,
! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = X1,
inference(forward_demodulation,[],[f301,f280]) ).
fof(f280,plain,
! [X0] : constr_xor(constr_ZERO,X0) = X0,
inference(superposition,[],[f262,f248]) ).
fof(f248,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X1] : constr_xor(X1,constr_ZERO) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
fof(f301,plain,
! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = constr_xor(constr_ZERO,X1),
inference(superposition,[],[f272,f247]) ).
fof(f247,plain,
! [X0] : constr_ZERO = constr_xor(X0,X0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] : constr_ZERO = constr_xor(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f272,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(rectify,[],[f70]) ).
fof(f70,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',ax69) ).
fof(f691,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0))))
| ~ pred_attacker(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f660,f269]) ).
fof(f269,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_R_in_2(X0,X1)) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X26,X27] :
( ( pred_attacker(X27)
& pred_attacker(X26) )
=> pred_attacker(tuple_R_in_2(X26,X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
fof(f660,plain,
( ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0)))))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f659,plain,
( spl0_2
<=> ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f661,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f419,f659,f655]) ).
fof(f419,plain,
! [X0] :
( ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0)))))
| pred_attacker(tuple_R_out_4(name_objective_R)) ),
inference(forward_demodulation,[],[f260,f262]) ).
fof(f260,plain,
! [X0] :
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(constr_xor(name_r0x30,X0),name_k)))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(constr_xor(name_r0x30,X0),name_k)))) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(constr_xor(name_r0x30,X0),name_k))))
=> pred_attacker(tuple_R_out_4(name_objective_R)) ),
inference(rectify,[],[f107]) ).
fof(f107,axiom,
! [X39] :
( pred_attacker(tuple_R_in_2(X39,constr_h(constr_xor(constr_xor(name_r0x30,X39),name_k))))
=> pred_attacker(tuple_R_out_4(name_objective_R)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SWW948+1 : TPTP v8.1.2. Released v7.4.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.36 % Computer : n010.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Tue Apr 30 02:57:05 EDT 2024
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % (32585)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.38 % (32588)WARNING: value z3 for option sas not known
% 0.12/0.38 % (32587)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.38 % (32586)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.38 % (32589)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.38 % (32588)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.38 % (32592)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.38 % (32591)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.38 Detected minimum model sizes of [12]
% 0.12/0.38 Detected maximum model sizes of [max]
% 0.12/0.38 % (32590)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.38 Detected minimum model sizes of [12]
% 0.12/0.38 Detected maximum model sizes of [max]
% 0.12/0.40 TRYING [12]
% 0.12/0.40 % (32588)First to succeed.
% 0.12/0.40 % (32588)Refutation found. Thanks to Tanya!
% 0.12/0.40 % SZS status Theorem for theBenchmark
% 0.12/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.40 % (32588)------------------------------
% 0.12/0.40 % (32588)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.40 % (32588)Termination reason: Refutation
% 0.12/0.40
% 0.12/0.40 % (32588)Memory used [KB]: 1126
% 0.12/0.40 % (32588)Time elapsed: 0.024 s
% 0.12/0.40 % (32588)Instructions burned: 44 (million)
% 0.12/0.40 % (32588)------------------------------
% 0.12/0.40 % (32588)------------------------------
% 0.12/0.40 % (32585)Success in time 0.041 s
%------------------------------------------------------------------------------