TSTP Solution File: SWV275-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV275-2 : 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 : 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 : Thu Aug 31 23:09:13 EDT 2023
% Result : Unsatisfiable 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 57 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 28 (; 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f972,plain,
$false,
inference(avatar_sat_refutation,[],[f867,f878,f949]) ).
fof(f949,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f948,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f880,f4]) ).
fof(f4,axiom,
! [X7,X4,X5] : c_in(X7,c_insert(X7,X4,X5),X5),
file('/export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513',cls_Set_OinsertCI_1) ).
fof(f880,plain,
( ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_2 ),
inference(backward_demodulation,[],[f11,f866]) ).
fof(f866,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f865,plain,
( spl0_2
<=> v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f11,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f10,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513',cls_Message_Osynth_OInj_0) ).
fof(f10,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f8,f9]) ).
fof(f9,axiom,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513',cls_conjecture_0) ).
fof(f8,axiom,
! [X8,X4,X5] :
( c_lessequals(X8,X4,tc_set(X5))
| ~ c_in(c_Main_OsubsetI__1(X8,X4,X5),X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513',cls_Set_OsubsetI_1) ).
fof(f878,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f874,f868]) ).
fof(f868,plain,
( ~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[],[f863,f2]) ).
fof(f2,axiom,
! [X2,X1] :
( c_lessequals(c_Message_Osynth(X2),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513',cls_Message_Osynth__mono_0) ).
fof(f863,plain,
( ~ c_lessequals(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl0_1
<=> c_lessequals(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f874,plain,
( c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[],[f871,f7]) ).
fof(f7,axiom,
! [X8,X4,X5] :
( c_in(c_Main_OsubsetI__1(X8,X4,X5),X8,X5)
| c_lessequals(X8,X4,tc_set(X5)) ),
file('/export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513',cls_Set_OsubsetI_0) ).
fof(f871,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| spl0_1 ),
inference(resolution,[],[f870,f3]) ).
fof(f3,axiom,
! [X3,X6,X4,X5] :
( c_in(X3,c_insert(X6,X4,X5),X5)
| ~ c_in(X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513',cls_Set_OinsertCI_0) ).
fof(f870,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_1 ),
inference(resolution,[],[f868,f8]) ).
fof(f867,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f860,f865,f862]) ).
fof(f860,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subsumption_resolution,[],[f855,f9]) ).
fof(f855,plain,
( v_X = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f79,f7]) ).
fof(f79,plain,
! [X4,X5] :
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(X5,X4,tc_Message_Omsg),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X5
| ~ c_lessequals(X4,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f13,f5]) ).
fof(f5,axiom,
! [X3,X8,X6,X5] :
( c_in(X3,X8,X5)
| X3 = X6
| ~ c_in(X3,c_insert(X6,X8,X5),X5) ),
file('/export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513',cls_Set_OinsertE_0) ).
fof(f13,plain,
! [X1] :
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg)
| ~ c_lessequals(X1,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f10,f6]) ).
fof(f6,axiom,
! [X8,X9,X4,X5] :
( c_in(X9,X4,X5)
| ~ c_in(X9,X8,X5)
| ~ c_lessequals(X8,X4,tc_set(X5)) ),
file('/export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513',cls_Set_OsubsetD_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n010.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 : Tue Aug 29 04:37:19 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Qnn0HCIAid/Vampire---4.8_7513
% 0.15/0.36 % (7731)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (7736)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.42 % (7735)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.42 % (7734)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.42 % (7737)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.42 % (7732)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.42 % (7733)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.42 % (7738)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.42 % (7736)Refutation not found, incomplete strategy% (7736)------------------------------
% 0.22/0.42 % (7736)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (7736)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (7736)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42 % (7736)Memory used [KB]: 895
% 0.22/0.42 % (7736)Time elapsed: 0.003 s
% 0.22/0.42 % (7736)------------------------------
% 0.22/0.42 % (7736)------------------------------
% 0.22/0.47 % (7739)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.22/0.49 % (7733)First to succeed.
% 0.22/0.49 % (7733)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.49 % (7733)------------------------------
% 0.22/0.49 % (7733)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (7733)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (7733)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (7733)Memory used [KB]: 11769
% 0.22/0.49 % (7733)Time elapsed: 0.067 s
% 0.22/0.49 % (7733)------------------------------
% 0.22/0.49 % (7733)------------------------------
% 0.22/0.49 % (7731)Success in time 0.124 s
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------