TSTP Solution File: SWV242-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.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 : Sat Sep 2 12:56:43 EDT 2023
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 16 (; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(avatar_sat_refutation,[],[f16,f41,f57]) ).
fof(f57,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f55,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f52,f1]) ).
fof(f1,axiom,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/tmp/tmp.PFHgt1yO5o/Vampire---4.8_12188',cls_conjecture_0) ).
fof(f52,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(resolution,[],[f44,f5]) ).
fof(f5,axiom,
! [X2,X3,X4] : c_lessequals(X2,c_union(X2,X3,X4),tc_set(X4)),
file('/export/starexec/sandbox/tmp/tmp.PFHgt1yO5o/Vampire---4.8_12188',cls_Set_OUn__upper1_0) ).
fof(f44,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) )
| spl0_2 ),
inference(resolution,[],[f42,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.PFHgt1yO5o/Vampire---4.8_12188',cls_Message_Oanalz__mono_0) ).
fof(f42,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,X0,tc_set(tc_Message_Omsg)) )
| spl0_2 ),
inference(resolution,[],[f15,f7]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( c_lessequals(X2,X5,tc_set(X4))
| ~ c_lessequals(X2,X3,tc_set(X4))
| ~ c_lessequals(X3,X5,tc_set(X4)) ),
file('/export/starexec/sandbox/tmp/tmp.PFHgt1yO5o/Vampire---4.8_12188',cls_Set_Osubset__trans_0) ).
fof(f15,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl0_2
<=> c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f41,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f39]) ).
fof(f39,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f21,f2]) ).
fof(f2,axiom,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/tmp/tmp.PFHgt1yO5o/Vampire---4.8_12188',cls_conjecture_1) ).
fof(f21,plain,
( ~ c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[],[f18,f6]) ).
fof(f6,axiom,
! [X2,X3,X4] : c_lessequals(X3,c_union(X2,X3,X4),tc_set(X4)),
file('/export/starexec/sandbox/tmp/tmp.PFHgt1yO5o/Vampire---4.8_12188',cls_Set_OUn__upper2_0) ).
fof(f18,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) )
| spl0_1 ),
inference(resolution,[],[f17,f4]) ).
fof(f17,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg)) )
| spl0_1 ),
inference(resolution,[],[f7,f11]) ).
fof(f11,plain,
( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f9,plain,
( spl0_1
<=> c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f16,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3,f13,f9]) ).
fof(f3,axiom,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.PFHgt1yO5o/Vampire---4.8_12188',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 17:09:44 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.43 % (12297)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.43 % (12302)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.18/0.43 % (12304)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.43 % (12301)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.43 % (12298)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.43 % (12300)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 Vampire---4 for (476ds/0Mi)
% 0.18/0.43 % (12299)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.43 % (12303)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.18/0.43 Detected minimum model sizes of [1,1]
% 0.18/0.43 TRYING [1]
% 0.18/0.43 Detected maximum model sizes of [max,1]
% 0.18/0.43 TRYING [1,1]
% 0.18/0.43 TRYING [1]
% 0.18/0.43 Detected minimum model sizes of [1,1]
% 0.18/0.43 TRYING [2]
% 0.18/0.43 Detected maximum model sizes of [max,1]
% 0.18/0.43 TRYING [1,1]
% 0.18/0.43 TRYING [2]
% 0.18/0.43 TRYING [2,1]
% 0.18/0.43 TRYING [2,1]
% 0.18/0.43 % (12300)First to succeed.
% 0.18/0.43 TRYING [3,1]
% 0.18/0.43 TRYING [3]
% 0.18/0.43 TRYING [3]
% 0.18/0.43 TRYING [3,1]
% 0.18/0.43 % (12303)Also succeeded, but the first one will report.
% 0.18/0.43 % (12300)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.43 % (12300)------------------------------
% 0.18/0.43 % (12300)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.43 % (12300)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.43 % (12300)Termination reason: Refutation
% 0.18/0.43
% 0.18/0.43 % (12300)Memory used [KB]: 5373
% 0.18/0.43 % (12300)Time elapsed: 0.004 s
% 0.18/0.43 % (12300)------------------------------
% 0.18/0.43 % (12300)------------------------------
% 0.18/0.43 % (12297)Success in time 0.087 s
% 0.18/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------