TSTP Solution File: LCL760-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL760-1 : 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_uns --cores 0 -t %d %s

% Computer : n027.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 17:45:51 EDT 2022

% Result   : Unsatisfiable 1.53s 0.59s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    3 (   3 unt;   0 def)
%            Number of atoms       :    3 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-5 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f681,plain,
    $false,
    inference(resolution,[],[f615,f612]) ).

fof(f612,axiom,
    ! [X10,X9] : hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(X10))),c_Suc(X9))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(X10)),X9)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(X10),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X9,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f615,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_ra),c_Lambda_OdB_OVar(c_Suc(v_ia))),c_Suc(v_ja))),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_s),c_Lambda_OdB_OVar(v_ia)),v_ja)),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_ia),tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_ja,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_ss,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL760-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 02:51:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.52  % (21494)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53  % (21502)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54  % (21494)Instruction limit reached!
% 0.19/0.54  % (21494)------------------------------
% 0.19/0.54  % (21494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21494)Termination reason: Unknown
% 0.19/0.54  % (21494)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (21494)Memory used [KB]: 2046
% 0.19/0.54  % (21494)Time elapsed: 0.008 s
% 0.19/0.54  % (21494)Instructions burned: 7 (million)
% 0.19/0.54  % (21494)------------------------------
% 0.19/0.54  % (21494)------------------------------
% 0.19/0.55  % (21501)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.55  % (21485)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.56  % (21486)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56  % (21482)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.56  % (21507)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.56  % (21481)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.56  % (21483)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.56  % (21493)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.56  % (21488)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57  % (21502)Instruction limit reached!
% 0.19/0.57  % (21502)------------------------------
% 0.19/0.57  % (21502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (21479)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.57  % (21502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (21502)Termination reason: Unknown
% 0.19/0.57  % (21502)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (21502)Memory used [KB]: 2814
% 0.19/0.57  % (21502)Time elapsed: 0.037 s
% 0.19/0.57  % (21502)Instructions burned: 37 (million)
% 0.19/0.57  % (21502)------------------------------
% 0.19/0.57  % (21502)------------------------------
% 0.19/0.57  % (21497)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.57  % (21489)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.57  % (21487)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.57  % (21508)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.57  % (21499)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.57  % (21487)Instruction limit reached!
% 0.19/0.57  % (21487)------------------------------
% 0.19/0.57  % (21487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (21487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (21487)Termination reason: Unknown
% 0.19/0.57  % (21487)Termination phase: Function definition elimination
% 0.19/0.57  
% 0.19/0.57  % (21487)Memory used [KB]: 1918
% 0.19/0.57  % (21480)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.57  % (21487)Time elapsed: 0.004 s
% 0.19/0.57  % (21487)Instructions burned: 3 (million)
% 0.19/0.57  % (21487)------------------------------
% 0.19/0.57  % (21487)------------------------------
% 0.19/0.57  % (21489)Instruction limit reached!
% 0.19/0.57  % (21489)------------------------------
% 0.19/0.57  % (21489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (21489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (21489)Termination reason: Unknown
% 0.19/0.57  % (21489)Termination phase: Property scanning
% 0.19/0.57  
% 0.19/0.57  % (21489)Memory used [KB]: 1918
% 0.19/0.57  % (21489)Time elapsed: 0.005 s
% 0.19/0.57  % (21489)Instructions burned: 6 (million)
% 0.19/0.57  % (21489)------------------------------
% 0.19/0.57  % (21489)------------------------------
% 0.19/0.57  % (21499)Instruction limit reached!
% 0.19/0.57  % (21499)------------------------------
% 0.19/0.57  % (21499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (21499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (21499)Termination reason: Unknown
% 0.19/0.57  % (21499)Termination phase: Property scanning
% 0.19/0.57  
% 0.19/0.57  % (21499)Memory used [KB]: 1918
% 0.19/0.57  % (21499)Time elapsed: 0.005 s
% 0.19/0.57  % (21499)Instructions burned: 8 (million)
% 0.19/0.57  % (21499)------------------------------
% 0.19/0.57  % (21499)------------------------------
% 0.19/0.57  % (21505)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.57  % (21503)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.53/0.58  % (21490)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.53/0.58  % (21492)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.53/0.58  % (21492)Instruction limit reached!
% 1.53/0.58  % (21492)------------------------------
% 1.53/0.58  % (21492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58  % (21492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58  % (21492)Termination reason: Unknown
% 1.53/0.58  % (21492)Termination phase: SInE selection
% 1.53/0.58  
% 1.53/0.58  % (21492)Memory used [KB]: 1918
% 1.53/0.58  % (21492)Time elapsed: 0.003 s
% 1.53/0.58  % (21492)Instructions burned: 3 (million)
% 1.53/0.58  % (21492)------------------------------
% 1.53/0.58  % (21492)------------------------------
% 1.53/0.58  % (21481)Instruction limit reached!
% 1.53/0.58  % (21481)------------------------------
% 1.53/0.58  % (21481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58  % (21481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58  % (21481)Termination reason: Unknown
% 1.53/0.58  % (21481)Termination phase: Function definition elimination
% 1.53/0.58  
% 1.53/0.58  % (21481)Memory used [KB]: 1918
% 1.53/0.58  % (21481)Time elapsed: 0.005 s
% 1.53/0.58  % (21481)Instructions burned: 4 (million)
% 1.53/0.58  % (21481)------------------------------
% 1.53/0.58  % (21481)------------------------------
% 1.53/0.58  % (21484)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.53/0.58  % (21495)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.53/0.58  % (21491)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.53/0.58  % (21495)Instruction limit reached!
% 1.53/0.58  % (21495)------------------------------
% 1.53/0.58  % (21495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58  % (21495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58  % (21495)Termination reason: Unknown
% 1.53/0.58  % (21495)Termination phase: Function definition elimination
% 1.53/0.58  
% 1.53/0.58  % (21495)Memory used [KB]: 1918
% 1.53/0.58  % (21495)Time elapsed: 0.003 s
% 1.53/0.58  % (21495)Instructions burned: 2 (million)
% 1.53/0.58  % (21495)------------------------------
% 1.53/0.58  % (21495)------------------------------
% 1.53/0.59  % (21482)First to succeed.
% 1.53/0.59  % (21506)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.53/0.59  % (21507)Instruction limit reached!
% 1.53/0.59  % (21507)------------------------------
% 1.53/0.59  % (21507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59  % (21507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59  % (21507)Termination reason: Unknown
% 1.53/0.59  % (21507)Termination phase: Saturation
% 1.53/0.59  
% 1.53/0.59  % (21507)Memory used [KB]: 2046
% 1.53/0.59  % (21507)Time elapsed: 0.010 s
% 1.53/0.59  % (21507)Instructions burned: 21 (million)
% 1.53/0.59  % (21507)------------------------------
% 1.53/0.59  % (21507)------------------------------
% 1.53/0.59  % (21483)Also succeeded, but the first one will report.
% 1.53/0.59  % (21482)Refutation found. Thanks to Tanya!
% 1.53/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.53/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.59  % (21482)------------------------------
% 1.53/0.59  % (21482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59  % (21482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59  % (21482)Termination reason: Refutation
% 1.53/0.59  
% 1.53/0.59  % (21482)Memory used [KB]: 6524
% 1.53/0.59  % (21482)Time elapsed: 0.141 s
% 1.53/0.59  % (21482)Instructions burned: 10 (million)
% 1.53/0.59  % (21482)------------------------------
% 1.53/0.59  % (21482)------------------------------
% 1.53/0.59  % (21478)Success in time 0.231 s
%------------------------------------------------------------------------------