TSTP Solution File: CSR027-10 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : CSR027-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n028.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 : Mon Jun 24 05:29:40 EDT 2024

% Result   : Unsatisfiable 0.21s 0.46s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   32 (  32 unt;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  11 con; 0-4 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1142,plain,
    $false,
    inference(subsumption_resolution,[],[f1141,f85]) ).

fof(f85,axiom,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1141,plain,
    a = b,
    inference(forward_demodulation,[],[f1140,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1140,plain,
    b = ifeq2(tuple2(true,true),tuple2(true,true),a,b),
    inference(backward_demodulation,[],[f611,f1138]) ).

fof(f1138,plain,
    true = tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
    inference(forward_demodulation,[],[f1129,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1129,plain,
    true = ifeq3(true,true,tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),
    inference(superposition,[],[f36,f965]) ).

fof(f965,plain,
    true = isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),
    inference(forward_demodulation,[],[f963,f1]) ).

fof(f963,plain,
    true = ifeq3(true,true,isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true),
    inference(superposition,[],[f244,f17]) ).

fof(f17,axiom,
    true = isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f244,plain,
    ! [X0] : true = ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true),
    inference(forward_demodulation,[],[f242,f1]) ).

fof(f242,plain,
    ! [X0] : true = ifeq3(true,true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true),true),
    inference(superposition,[],[f4,f142]) ).

fof(f142,plain,
    true = relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
    inference(forward_demodulation,[],[f140,f1]) ).

fof(f140,plain,
    true = ifeq3(true,true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true),
    inference(backward_demodulation,[],[f16,f139]) ).

fof(f139,plain,
    true = mtvisible(c_tptp_member2610_mt),
    inference(forward_demodulation,[],[f138,f1]) ).

fof(f138,plain,
    true = ifeq3(true,true,mtvisible(c_tptp_member2610_mt),true),
    inference(forward_demodulation,[],[f137,f82]) ).

fof(f82,axiom,
    true = mtvisible(c_tptp_spindlecollectormt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f137,plain,
    true = ifeq3(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member2610_mt),true),
    inference(forward_demodulation,[],[f120,f1]) ).

fof(f120,plain,
    true = ifeq3(true,true,ifeq3(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member2610_mt),true),true),
    inference(superposition,[],[f65,f12]) ).

fof(f12,axiom,
    true = genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f65,axiom,
    ! [X18,X19] : true = ifeq3(genlmt(X18,X19),true,ifeq3(mtvisible(X18),true,mtvisible(X19),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f16,axiom,
    true = ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4,axiom,
    ! [X3,X6,X4,X5] : true = ifeq3(relationallexists(X3,X4,X5),true,ifeq3(isa(X6,X4),true,isa(f_relationallexistsfn(X6,X3,X4,X5),X5),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f36,axiom,
    ! [X14] : true = ifeq3(isa(X14,c_tptpcol_16_31868),true,tptpcol_16_31868(X14),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f611,plain,
    b = ifeq2(tuple2(true,tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))),tuple2(true,true),a,b),
    inference(superposition,[],[f84,f241]) ).

fof(f241,plain,
    true = tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
    inference(forward_demodulation,[],[f240,f1]) ).

fof(f240,plain,
    true = ifeq3(true,true,tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),
    inference(superposition,[],[f143,f17]) ).

fof(f143,plain,
    ! [X6] : true = ifeq3(isa(X6,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X6,f_relationallexistsfn(X6,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),
    inference(forward_demodulation,[],[f141,f1]) ).

fof(f141,plain,
    ! [X6] : true = ifeq3(true,true,ifeq3(isa(X6,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X6,f_relationallexistsfn(X6,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true),
    inference(backward_demodulation,[],[f15,f139]) ).

fof(f15,axiom,
    ! [X6] : true = ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X6,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X6,f_relationallexistsfn(X6,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f84,axiom,
    ! [X14] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X14),tptpcol_16_31868(X14)),tuple2(true,true),a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR027-10 : TPTP v8.2.0. Released v7.3.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Wed Jun 19 22:56:54 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.35  Running first-order theorem proving
% 0.13/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42  % (14403)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (14406)lrs+10_1:64_drc=encompass:sil=2000:i=105:plsq=on:ss=axioms_0 on theBenchmark for (3000ds/105Mi)
% 0.21/0.42  % (14403)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (14408)ott+10_2:5_bsr=unit_only:to=lpo:drc=encompass:sil=256000:sp=reverse_frequency:i=150:ins=1:dpc=on:rawr=on_0 on theBenchmark for (3000ds/150Mi)
% 0.21/0.42  % (14403)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (14409)lrs+10_1:8_drc=encompass:sil=16000:tgt=ground:i=123:bd=preordered:ss=axioms_0 on theBenchmark for (3000ds/123Mi)
% 0.21/0.42  % (14403)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (14407)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=126:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (3000ds/126Mi)
% 0.21/0.42  % (14403)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (14405)dis+10_5:2_drc=encompass:sil=256000:tgt=ground:sp=reverse_frequency:sos=all:i=207332:bd=off:fsr=off:dpc=on_0 on theBenchmark for (3000ds/207332Mi)
% 0.21/0.42  % (14403)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (14404)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=116130:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (3000ds/116130Mi)
% 0.21/0.42  % (14403)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (14410)lrs+10_1:1_drc=encompass:sil=4000:i=209:ss=axioms:sgt=8:sp=occurrence_0 on theBenchmark for (3000ds/209Mi)
% 0.21/0.43  % (14406)Refutation not found, incomplete strategy% (14406)------------------------------
% 0.21/0.43  % (14406)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43  % (14409)Refutation not found, incomplete strategy% (14409)------------------------------
% 0.21/0.43  % (14409)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43  % (14409)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43  % (14409)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43  
% 0.21/0.43  % (14409)Memory used [KB]: 873
% 0.21/0.43  % (14409)Time elapsed: 0.007 s
% 0.21/0.43  % (14409)Instructions burned: 8 (million)
% 0.21/0.43  % (14406)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43  % (14406)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43  
% 0.21/0.43  % (14406)Memory used [KB]: 871
% 0.21/0.43  % (14406)Time elapsed: 0.007 s
% 0.21/0.43  % (14406)Instructions burned: 8 (million)
% 0.21/0.43  % (14409)------------------------------
% 0.21/0.43  % (14409)------------------------------
% 0.21/0.43  % (14406)------------------------------
% 0.21/0.43  % (14406)------------------------------
% 0.21/0.46  % (14410)First to succeed.
% 0.21/0.46  % (14404)Also succeeded, but the first one will report.
% 0.21/0.46  % (14410)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14403"
% 0.21/0.46  % (14403)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46  % (14410)Refutation found. Thanks to Tanya!
% 0.21/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46  % (14410)------------------------------
% 0.21/0.46  % (14410)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46  % (14410)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46  % (14410)Termination reason: Refutation
% 0.21/0.46  
% 0.21/0.46  % (14410)Memory used [KB]: 1389
% 0.21/0.46  % (14410)Time elapsed: 0.038 s
% 0.21/0.46  % (14410)Instructions burned: 62 (million)
% 0.21/0.46  % (14410)------------------------------
% 0.21/0.46  % (14410)------------------------------
% 0.21/0.46  % (14403)Success in time 0.087 s
%------------------------------------------------------------------------------