TSTP Solution File: SWV247-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV247-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Sun May 5 10:47:55 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 6 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 89 ( 41 ~; 44 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f37,f53,f57,f68]) ).
fof(f68,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f65,f61]) ).
fof(f61,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| ~ spl0_4 ),
inference(resolution,[],[f36,f3]) ).
fof(f3,axiom,
! [X2,X0] :
( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f36,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_4
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f65,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[],[f63,f6]) ).
fof(f6,axiom,
! [X3,X6,X4,X5] :
( c_in(X3,c_union(X6,X4,X5),X5)
| ~ c_in(X3,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f63,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[],[f31,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f31,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_3
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f57,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f54,f11]) ).
fof(f11,plain,
~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f10,f6]) ).
fof(f10,axiom,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f54,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f23,f41]) ).
fof(f41,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_3 ),
inference(resolution,[],[f32,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).
fof(f32,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f23,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_1
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f53,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f52,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f51,f11]) ).
fof(f51,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f49,f40]) ).
fof(f40,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f39,f12]) ).
fof(f12,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolution,[],[f10,f5]) ).
fof(f5,axiom,
! [X3,X6,X4,X5] :
( c_in(X3,c_union(X6,X4,X5),X5)
| ~ c_in(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f39,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f27,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
fof(f27,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_2
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f49,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),v_G,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_3 ),
inference(resolution,[],[f48,f6]) ).
fof(f48,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_3 ),
inference(resolution,[],[f41,f4]) ).
fof(f37,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f19,f34,f30]) ).
fof(f19,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f7,f9]) ).
fof(f9,axiom,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f7,axiom,
! [X3,X6,X4,X5] :
( ~ c_in(X3,c_union(X6,X4,X5),X5)
| c_in(X3,X4,X5)
| c_in(X3,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f28,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f25,f21]) ).
fof(f18,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV247-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:11:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (6686)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (6688)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (6689)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (6691)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (6692)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (6690)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (6687)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (6693)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 Detected minimum model sizes of [1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,1,1]
% 0.15/0.38 Detected minimum model sizes of [1,1,1]
% 0.15/0.38 TRYING [1,1,1]
% 0.15/0.38 Detected maximum model sizes of [max,1,1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1,1,1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (6689)Also succeeded, but the first one will report.
% 0.15/0.38 % (6692)First to succeed.
% 0.15/0.38 TRYING [2,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (6692)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6686"
% 0.15/0.38 % (6692)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (6692)------------------------------
% 0.15/0.38 % (6692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (6692)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (6692)Memory used [KB]: 765
% 0.15/0.38 % (6692)Time elapsed: 0.005 s
% 0.15/0.38 % (6692)Instructions burned: 5 (million)
% 0.15/0.38 % (6686)Success in time 0.009 s
%------------------------------------------------------------------------------