TSTP Solution File: LCL848-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : 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 : Wed Aug 31 17:50:12 EDT 2022

% Result   : Unsatisfiable 2.09s 0.67s
% Output   : Refutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-5 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1482,plain,
    $false,
    inference(subsumption_resolution,[],[f1479,f658]) ).

fof(f658,axiom,
    c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f1479,plain,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
    inference(resolution,[],[f879,f1052]) ).

fof(f1052,plain,
    hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    inference(consistent_polarity_flipping,[],[f659]) ).

fof(f659,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f879,plain,
    ! [X0,X35] :
      ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X35,tc_Lambda_OdB,tc_Lambda_OdB)))
      | ~ c_List_Olistsp(c_InductTermi_OIT,X35,tc_Lambda_OdB) ),
    inference(consistent_polarity_flipping,[],[f627]) ).

fof(f627,axiom,
    ! [X0,X35] :
      ( ~ c_List_Olistsp(c_InductTermi_OIT,X35,tc_Lambda_OdB)
      | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X35,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IT_OVar_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 02:44:14 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.53  % (13779)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (13767)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)
% 0.19/0.53  % (13788)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)
% 0.19/0.53  % (13787)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (13795)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)
% 0.19/0.54  % (13780)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)
% 0.19/0.54  % (13772)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)
% 0.19/0.54  % (13768)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)
% 0.19/0.55  % (13773)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (13766)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)
% 0.19/0.55  % (13790)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (13769)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)
% 0.19/0.55  % (13771)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)
% 0.19/0.55  % (13770)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (13778)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.56  % (13791)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56  % (13773)Instruction limit reached!
% 0.19/0.56  % (13773)------------------------------
% 0.19/0.56  % (13773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (13773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (13773)Termination reason: Unknown
% 0.19/0.56  % (13773)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (13773)Memory used [KB]: 6140
% 0.19/0.56  % (13773)Time elapsed: 0.008 s
% 0.19/0.56  % (13773)Instructions burned: 7 (million)
% 0.19/0.56  % (13773)------------------------------
% 0.19/0.56  % (13773)------------------------------
% 0.19/0.56  % (13781)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)
% 0.19/0.56  % (13786)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)
% 0.19/0.56  % (13783)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56  % (13784)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56  % (13785)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)
% 0.19/0.56  % (13782)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)
% 0.19/0.57  % (13774)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57  % (13775)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)
% 0.19/0.57  % (13777)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)
% 0.19/0.57  % (13776)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.57  % (13789)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)
% 0.19/0.57  % (13792)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)
% 0.19/0.57  % (13793)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)
% 0.19/0.58  % (13794)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.66/0.59  % (13774)Instruction limit reached!
% 1.66/0.59  % (13774)------------------------------
% 1.66/0.59  % (13774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.59  % (13774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.59  % (13774)Termination reason: Unknown
% 1.66/0.59  % (13774)Termination phase: shuffling
% 1.66/0.59  
% 1.66/0.59  % (13774)Memory used [KB]: 1535
% 1.66/0.59  % (13774)Time elapsed: 0.003 s
% 1.66/0.59  % (13774)Instructions burned: 2 (million)
% 1.66/0.59  % (13774)------------------------------
% 1.66/0.59  % (13774)------------------------------
% 1.80/0.62  % (13768)Instruction limit reached!
% 1.80/0.62  % (13768)------------------------------
% 1.80/0.62  % (13768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62  % (13768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62  % (13768)Termination reason: Unknown
% 1.80/0.62  % (13768)Termination phase: Saturation
% 1.80/0.62  
% 1.80/0.62  % (13768)Memory used [KB]: 2046
% 1.80/0.62  % (13768)Time elapsed: 0.022 s
% 1.80/0.62  % (13768)Instructions burned: 37 (million)
% 1.80/0.62  % (13768)------------------------------
% 1.80/0.62  % (13768)------------------------------
% 1.80/0.63  % (13771)Instruction limit reached!
% 1.80/0.63  % (13771)------------------------------
% 1.80/0.63  % (13771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63  % (13771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63  % (13771)Termination reason: Unknown
% 1.80/0.63  % (13771)Termination phase: Saturation
% 1.80/0.63  
% 1.80/0.63  % (13771)Memory used [KB]: 6652
% 1.80/0.63  % (13771)Time elapsed: 0.207 s
% 1.80/0.63  % (13771)Instructions burned: 50 (million)
% 1.80/0.63  % (13771)------------------------------
% 1.80/0.63  % (13771)------------------------------
% 1.80/0.63  % (13769)Instruction limit reached!
% 1.80/0.63  % (13769)------------------------------
% 1.80/0.63  % (13769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63  % (13769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63  % (13769)Termination reason: Unknown
% 1.80/0.63  % (13769)Termination phase: Saturation
% 1.80/0.63  
% 1.80/0.63  % (13769)Memory used [KB]: 6780
% 1.80/0.63  % (13769)Time elapsed: 0.217 s
% 1.80/0.63  % (13769)Instructions burned: 51 (million)
% 1.80/0.63  % (13769)------------------------------
% 1.80/0.63  % (13769)------------------------------
% 2.09/0.64  % (13783)Instruction limit reached!
% 2.09/0.64  % (13783)------------------------------
% 2.09/0.64  % (13783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (13783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (13783)Termination reason: Unknown
% 2.09/0.64  % (13783)Termination phase: Finite model building preprocessing
% 2.09/0.64  
% 2.09/0.64  % (13783)Memory used [KB]: 2942
% 2.09/0.64  % (13783)Time elapsed: 0.077 s
% 2.09/0.64  % (13783)Instructions burned: 59 (million)
% 2.09/0.64  % (13783)------------------------------
% 2.09/0.64  % (13783)------------------------------
% 2.09/0.64  % (13770)Instruction limit reached!
% 2.09/0.64  % (13770)------------------------------
% 2.09/0.64  % (13770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (13770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (13770)Termination reason: Unknown
% 2.09/0.64  % (13770)Termination phase: Saturation
% 2.09/0.64  
% 2.09/0.64  % (13770)Memory used [KB]: 6652
% 2.09/0.64  % (13770)Time elapsed: 0.026 s
% 2.09/0.64  % (13770)Instructions burned: 52 (million)
% 2.09/0.64  % (13770)------------------------------
% 2.09/0.64  % (13770)------------------------------
% 2.09/0.64  % (13772)Instruction limit reached!
% 2.09/0.64  % (13772)------------------------------
% 2.09/0.64  % (13772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (13772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (13772)Termination reason: Unknown
% 2.09/0.64  % (13772)Termination phase: Finite model building preprocessing
% 2.09/0.64  
% 2.09/0.64  % (13772)Memory used [KB]: 3070
% 2.09/0.64  % (13772)Time elapsed: 0.030 s
% 2.09/0.64  % (13772)Instructions burned: 52 (million)
% 2.09/0.64  % (13772)------------------------------
% 2.09/0.64  % (13772)------------------------------
% 2.09/0.64  % (13767)Instruction limit reached!
% 2.09/0.64  % (13767)------------------------------
% 2.09/0.64  % (13767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64  % (13767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64  % (13767)Termination reason: Unknown
% 2.09/0.64  % (13767)Termination phase: Saturation
% 2.09/0.64  
% 2.09/0.64  % (13767)Memory used [KB]: 7036
% 2.09/0.64  % (13767)Time elapsed: 0.178 s
% 2.09/0.64  % (13767)Instructions burned: 51 (million)
% 2.09/0.64  % (13767)------------------------------
% 2.09/0.64  % (13767)------------------------------
% 2.09/0.65  % (13776)Instruction limit reached!
% 2.09/0.65  % (13776)------------------------------
% 2.09/0.65  % (13776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65  % (13776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65  % (13776)Termination reason: Unknown
% 2.09/0.65  % (13776)Termination phase: Saturation
% 2.09/0.65  
% 2.09/0.65  % (13776)Memory used [KB]: 6908
% 2.09/0.65  % (13776)Time elapsed: 0.234 s
% 2.09/0.65  % (13776)Instructions burned: 51 (million)
% 2.09/0.65  % (13776)------------------------------
% 2.09/0.65  % (13776)------------------------------
% 2.09/0.67  % (13775)Instruction limit reached!
% 2.09/0.67  % (13775)------------------------------
% 2.09/0.67  % (13775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.67  % (13775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.67  % (13775)Termination reason: Unknown
% 2.09/0.67  % (13775)Termination phase: Saturation
% 2.09/0.67  
% 2.09/0.67  % (13775)Memory used [KB]: 2558
% 2.09/0.67  % (13775)Time elapsed: 0.250 s
% 2.09/0.67  % (13775)Instructions burned: 51 (million)
% 2.09/0.67  % (13775)------------------------------
% 2.09/0.67  % (13775)------------------------------
% 2.09/0.67  % (13785)First to succeed.
% 2.09/0.67  % (13785)Refutation found. Thanks to Tanya!
% 2.09/0.67  % SZS status Unsatisfiable for theBenchmark
% 2.09/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.67  % (13785)------------------------------
% 2.09/0.67  % (13785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.67  % (13785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.67  % (13785)Termination reason: Refutation
% 2.09/0.67  
% 2.09/0.67  % (13785)Memory used [KB]: 2302
% 2.09/0.67  % (13785)Time elapsed: 0.234 s
% 2.09/0.67  % (13785)Instructions burned: 54 (million)
% 2.09/0.67  % (13785)------------------------------
% 2.09/0.67  % (13785)------------------------------
% 2.09/0.67  % (13765)Success in time 0.324 s
%------------------------------------------------------------------------------