TSTP Solution File: CSR027-10 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CSR027-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n020.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 : Wed Aug 31 15:58:35 EDT 2022

% Result   : Unsatisfiable 1.32s 0.59s
% Output   : Refutation 1.32s
% 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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f615,plain,
    $false,
    inference(subsumption_resolution,[],[f613,f85]) ).

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

fof(f613,plain,
    a = b,
    inference(superposition,[],[f607,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).

fof(f607,plain,
    b = ifeq2(tuple2(true,true),tuple2(true,true),a,b),
    inference(forward_demodulation,[],[f600,f573]) ).

fof(f573,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,[],[f558,f1]) ).

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

fof(f558,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,f548]) ).

fof(f548,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,[],[f547,f1]) ).

fof(f547,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(forward_demodulation,[],[f544,f1]) ).

fof(f544,plain,
    true = ifeq3(true,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),true),
    inference(superposition,[],[f541,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',just14) ).

fof(f541,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,f180]) ).

fof(f180,plain,
    true = relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
    inference(superposition,[],[f176,f1]) ).

fof(f176,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,f173]) ).

fof(f173,plain,
    true = mtvisible(c_tptp_member2610_mt),
    inference(superposition,[],[f166,f1]) ).

fof(f166,plain,
    true = ifeq3(true,true,mtvisible(c_tptp_member2610_mt),true),
    inference(forward_demodulation,[],[f165,f1]) ).

fof(f165,plain,
    true = ifeq3(true,true,ifeq3(true,true,mtvisible(c_tptp_member2610_mt),true),true),
    inference(forward_demodulation,[],[f147,f82]) ).

fof(f82,axiom,
    true = mtvisible(c_tptp_spindlecollectormt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).

fof(f147,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',just9) ).

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',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/sandbox2/benchmark/theBenchmark.p',just13) ).

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',just1) ).

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',just34) ).

fof(f600,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,f596]) ).

fof(f596,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,[],[f595,f1]) ).

fof(f595,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,[],[f592,f1]) ).

fof(f592,plain,
    true = ifeq3(true,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,[],[f591,f17]) ).

fof(f591,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(forward_demodulation,[],[f15,f173]) ).

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',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/sandbox2/benchmark/theBenchmark.p',query27_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : CSR027-10 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n020.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   : Mon Aug 29 17:44:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 1.23/0.51  % (20339)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.23/0.51  % (20350)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.23/0.51  % (20342)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.23/0.52  % (20341)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.23/0.52  % (20334)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53  % (20351)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.32/0.53  % (20332)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53  % (20357)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.32/0.53  % (20333)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.32/0.53  % (20329)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.53  % (20331)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53  % (20338)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.53  % (20353)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.53  % (20349)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.32/0.53  % (20340)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.32/0.54  % (20355)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.32/0.54  % (20344)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.54  % (20337)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.54  % (20354)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.32/0.54  % (20356)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.54  % (20330)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.32/0.55  % (20336)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.55  % (20336)Instruction limit reached!
% 1.32/0.55  % (20336)------------------------------
% 1.32/0.55  % (20336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.55  % (20336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.55  % (20336)Termination reason: Unknown
% 1.32/0.55  % (20336)Termination phase: Saturation
% 1.32/0.55  
% 1.32/0.55  % (20336)Memory used [KB]: 5373
% 1.32/0.55  % (20336)Time elapsed: 0.002 s
% 1.32/0.55  % (20336)Instructions burned: 2 (million)
% 1.32/0.55  % (20336)------------------------------
% 1.32/0.55  % (20336)------------------------------
% 1.32/0.55  % (20328)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.32/0.55  % (20352)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.32/0.55  % (20348)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.32/0.55  % (20346)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.55  % (20345)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.55  % (20343)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.32/0.56  % (20347)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.57  % (20335)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.57  TRYING [1]
% 1.32/0.57  TRYING [1]
% 1.32/0.57  TRYING [2]
% 1.32/0.58  % (20335)Instruction limit reached!
% 1.32/0.58  % (20335)------------------------------
% 1.32/0.58  % (20335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.58  % (20335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.58  % (20335)Termination reason: Unknown
% 1.32/0.58  % (20335)Termination phase: Saturation
% 1.32/0.58  
% 1.32/0.58  % (20335)Memory used [KB]: 5500
% 1.32/0.58  % (20335)Time elapsed: 0.166 s
% 1.32/0.58  % (20335)Instructions burned: 7 (million)
% 1.32/0.58  % (20335)------------------------------
% 1.32/0.58  % (20335)------------------------------
% 1.32/0.58  TRYING [2]
% 1.32/0.58  TRYING [1]
% 1.32/0.58  % (20350)First to succeed.
% 1.32/0.59  % (20350)Refutation found. Thanks to Tanya!
% 1.32/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.32/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.59  % (20350)------------------------------
% 1.32/0.59  % (20350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.59  % (20350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.59  % (20350)Termination reason: Refutation
% 1.32/0.59  
% 1.32/0.59  % (20350)Memory used [KB]: 1663
% 1.32/0.59  % (20350)Time elapsed: 0.135 s
% 1.32/0.59  % (20350)Instructions burned: 43 (million)
% 1.32/0.59  % (20350)------------------------------
% 1.32/0.59  % (20350)------------------------------
% 1.32/0.59  % (20327)Success in time 0.234 s
%------------------------------------------------------------------------------