TSTP Solution File: SCT137+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SCT137+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n018.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 14:23:04 EDT 2023

% Result   : ContradictoryAxioms 53.49s 8.22s
% Output   : Refutation 53.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   0 con; 1-3 aty)
%            Number of variables   :   45 (;  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f225575,plain,
    $false,
    inference(unit_resulting_resolution,[],[f15035,f14926]) ).

fof(f14926,plain,
    ! [X82,X83,X80,X81,X79,X84] : hAPP(hAPP(hAPP(c_COMBS(X81,X82,X83),X84),c_COMBI(X79)),X80) = hAPP(hAPP(X84,X80),X80),
    inference(superposition,[],[f2528,f1859]) ).

fof(f1859,plain,
    ! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
    inference(cnf_transformation,[],[f540]) ).

fof(f540,plain,
    ! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
    inference(rectify,[],[f511]) ).

fof(f511,axiom,
    ! [X116,X4] : hAPP(c_COMBI(X4),X116) = X116,
    file('/export/starexec/sandbox/tmp/tmp.Qof4LTLtOI/Vampire---4.8_18684',help_c__COMBI__1) ).

fof(f2528,plain,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
    inference(cnf_transformation,[],[f969]) ).

fof(f969,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
    inference(rectify,[],[f515]) ).

fof(f515,axiom,
    ! [X11,X98,X19,X4,X86,X13] : hAPP(hAPP(hAPP(c_COMBS(X13,X86,X4),X19),X98),X11) = hAPP(hAPP(X19,X11),hAPP(X98,X11)),
    file('/export/starexec/sandbox/tmp/tmp.Qof4LTLtOI/Vampire---4.8_18684',help_c__COMBS__1) ).

fof(f15035,plain,
    ! [X98,X99,X96,X97,X95,X100] : hAPP(X97,X96) != hAPP(hAPP(hAPP(c_COMBS(X98,X99,X100),c_List_Olist_OCons(X95)),X97),X96),
    inference(superposition,[],[f1956,f2528]) ).

fof(f1956,plain,
    ! [X2,X0,X1] : hAPP(hAPP(c_List_Olist_OCons(X1),X0),X2) != X2,
    inference(cnf_transformation,[],[f616]) ).

fof(f616,plain,
    ! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X1),X0),X2) != X2,
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X32,X4,X31] : hAPP(hAPP(c_List_Olist_OCons(X4),X32),X31) != X31,
    file('/export/starexec/sandbox/tmp/tmp.Qof4LTLtOI/Vampire---4.8_18684',fact_not__Cons__self) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.19/0.19  % Problem    : SCT137+1 : TPTP v8.1.2. Released v5.2.0.
% 0.19/0.21  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.22/0.42  % Computer : n018.cluster.edu
% 0.22/0.42  % Model    : x86_64 x86_64
% 0.22/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.42  % Memory   : 8042.1875MB
% 0.22/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.42  % CPULimit   : 300
% 0.22/0.42  % WCLimit    : 300
% 0.22/0.42  % DateTime   : Thu Aug 24 16:13:28 EDT 2023
% 0.22/0.43  % CPUTime    : 
% 0.22/0.43  This is a FOF_CAX_RFO_SEQ problem
% 0.22/0.43  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Qof4LTLtOI/Vampire---4.8_18684
% 0.22/0.43  % (18801)Running in auto input_syntax mode. Trying TPTP
% 0.29/0.52  % (18808)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.29/0.53  % (18803)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.29/0.53  % (18806)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.29/0.53  % (18805)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.29/0.53  % (18804)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.29/0.53  % (18802)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.29/0.53  % (18807)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.29/0.55  % (18808)Refutation not found, incomplete strategy% (18808)------------------------------
% 0.29/0.55  % (18808)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.29/0.55  % (18808)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.29/0.55  % (18808)Termination reason: Refutation not found, incomplete strategy
% 0.29/0.55  
% 0.29/0.55  % (18808)Memory used [KB]: 3709
% 0.29/0.55  % (18808)Time elapsed: 0.032 s
% 0.29/0.55  % (18808)------------------------------
% 0.29/0.55  % (18808)------------------------------
% 0.29/0.59  % (18809)dis-1002_6_acc=on:anc=none:bce=on:cond=fast:drc=off:fsd=off:fde=none:gsp=on:irw=on:sac=on:sp=scramble:tgt=ground:urr=ec_only_401 on Vampire---4 for (401ds/0Mi)
% 53.49/8.21  % (18809)First to succeed.
% 53.49/8.22  % (18809)Refutation found. Thanks to Tanya!
% 53.49/8.22  % SZS status ContradictoryAxioms for Vampire---4
% 53.49/8.22  % SZS output start Proof for Vampire---4
% See solution above
% 53.49/8.22  % (18809)------------------------------
% 53.49/8.22  % (18809)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 53.49/8.22  % (18809)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 53.49/8.22  % (18809)Termination reason: Refutation
% 53.49/8.22  
% 53.49/8.22  % (18809)Memory used [KB]: 195732
% 53.49/8.22  % (18809)Time elapsed: 7.617 s
% 53.49/8.22  % (18809)------------------------------
% 53.49/8.22  % (18809)------------------------------
% 53.49/8.22  % (18801)Success in time 7.749 s
% 53.49/8.22  % Vampire---4.8 exiting
%------------------------------------------------------------------------------