TSTP Solution File: CSR027-10 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR027-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 May 20 19:40:36 EDT 2024

% Result   : Unsatisfiable 0.12s 0.33s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            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(f2857,plain,
    $false,
    inference(subsumption_resolution,[],[f2856,f85]) ).

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

fof(f2856,plain,
    a = b,
    inference(forward_demodulation,[],[f2855,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

fof(f2855,plain,
    b = ifeq2(tuple2(true,true),tuple2(true,true),a,b),
    inference(forward_demodulation,[],[f2850,f2835]) ).

fof(f2835,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(superposition,[],[f2822,f1]) ).

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

fof(f2822,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,f2814]) ).

fof(f2814,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(superposition,[],[f2813,f1]) ).

fof(f2813,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,[],[f2103,f494]) ).

fof(f494,plain,
    true = relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
    inference(superposition,[],[f357,f1]) ).

fof(f357,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(superposition,[],[f16,f354]) ).

fof(f354,plain,
    true = mtvisible(c_tptp_member2610_mt),
    inference(superposition,[],[f346,f1]) ).

fof(f346,plain,
    true = ifeq3(true,true,mtvisible(c_tptp_member2610_mt),true),
    inference(forward_demodulation,[],[f345,f1]) ).

fof(f345,plain,
    true = ifeq3(true,true,ifeq3(true,true,mtvisible(c_tptp_member2610_mt),true),true),
    inference(forward_demodulation,[],[f325,f82]) ).

fof(f82,axiom,
    true = mtvisible(c_tptp_spindlecollectormt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).

fof(f325,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/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f65,axiom,
    ! [X18,X19] : true = ifeq3(genlmt(X18,X19),true,ifeq3(mtvisible(X18),true,mtvisible(X19),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).

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/sandbox/benchmark/theBenchmark.p',just13) ).

fof(f2103,plain,
    ! [X0,X1] : true = ifeq3(relationallexists(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),X1),true,isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),X1),X1),true),
    inference(forward_demodulation,[],[f2101,f1]) ).

fof(f2101,plain,
    ! [X0,X1] : true = ifeq3(relationallexists(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),X1),true,ifeq3(true,true,isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),X1),X1),true),true),
    inference(superposition,[],[f4,f17]) ).

fof(f17,axiom,
    true = isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

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/sandbox/benchmark/theBenchmark.p',just1) ).

fof(f36,axiom,
    ! [X14] : true = ifeq3(isa(X14,c_tptpcol_16_31868),true,tptpcol_16_31868(X14),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).

fof(f2850,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,f2847]) ).

fof(f2847,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(superposition,[],[f2846,f1]) ).

fof(f2846,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(forward_demodulation,[],[f2845,f354]) ).

fof(f2845,plain,
    true = ifeq3(mtvisible(c_tptp_member2610_mt),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(forward_demodulation,[],[f2844,f1]) ).

fof(f2844,plain,
    true = ifeq3(mtvisible(c_tptp_member2610_mt),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),true),
    inference(superposition,[],[f15,f17]) ).

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/sandbox/benchmark/theBenchmark.p',just12) ).

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/sandbox/benchmark/theBenchmark.p',query27_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : CSR027-10 : TPTP v8.2.0. Released v7.3.0.
% 0.00/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.28  % Computer : n024.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Sun May 19 01:43:07 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  % (20342)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.29  % (20349)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.08/0.29  % (20350)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.08/0.29  % (20352)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.08/0.29  % (20346)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.30  % (20347)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.30  % (20351)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.30  % (20348)WARNING: value z3 for option sas not known
% 0.12/0.30  TRYING [1]
% 0.12/0.30  % (20348)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.30  TRYING [2]
% 0.12/0.32  TRYING [3]
% 0.12/0.32  TRYING [1]
% 0.12/0.33  TRYING [2]
% 0.12/0.33  % (20352)First to succeed.
% 0.12/0.33  % (20352)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20342"
% 0.12/0.33  % (20352)Refutation found. Thanks to Tanya!
% 0.12/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.33  % (20352)------------------------------
% 0.12/0.33  % (20352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.33  % (20352)Termination reason: Refutation
% 0.12/0.33  
% 0.12/0.33  % (20352)Memory used [KB]: 1600
% 0.12/0.33  % (20352)Time elapsed: 0.037 s
% 0.12/0.33  % (20352)Instructions burned: 131 (million)
% 0.12/0.33  % (20342)Success in time 0.047 s
%------------------------------------------------------------------------------