TSTP Solution File: LCL850-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL850-1 : 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 : n012.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 2.82s 0.76s
% Output   : Refutation 2.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-4 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1433,plain,
    $false,
    inference(resolution,[],[f1430,f907]) ).

fof(f907,plain,
    ~ c_Type_Otyping(sF2,sF3,sF1),
    inference(definition_folding,[],[f861,f904,f906,f903,f905,f904,f903]) ).

fof(f905,plain,
    c_Type_Oshift(v_ea____,sF0,sF1,tc_Type_Otype) = sF2,
    introduced(function_definition,[]) ).

fof(f903,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = sF0,
    introduced(function_definition,[]) ).

fof(f906,plain,
    sF3 = c_Lambda_OdB_OVar(sF0),
    introduced(function_definition,[]) ).

fof(f904,plain,
    c_Type_Otype_OFun(v_Ta____,v_U____) = sF1,
    introduced(function_definition,[]) ).

fof(f861,axiom,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1430,plain,
    c_Type_Otyping(sF2,sF3,sF1),
    inference(superposition,[],[f981,f1427]) ).

fof(f1427,plain,
    sF1 = hAPP(sF2,sF0),
    inference(superposition,[],[f858,f905]) ).

fof(f858,axiom,
    ! [X2,X29,X0,X7] : hAPP(c_Type_Oshift(X2,X7,X29,X0),X7) = X29,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).

fof(f981,plain,
    ! [X0] : c_Type_Otyping(X0,sF3,hAPP(X0,sF0)),
    inference(superposition,[],[f860,f906]) ).

fof(f860,axiom,
    ! [X65,X7] : c_Type_Otyping(X65,c_Lambda_OdB_OVar(X7),hAPP(X65,X7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OVar_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL850-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n012.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 02:50:36 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.58  % (12205)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)
% 0.20/0.59  % (12223)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)
% 1.54/0.59  % (12215)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)
% 1.54/0.60  % (12229)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)
% 1.54/0.60  % (12201)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)
% 1.54/0.60  % (12212)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.54/0.60  % (12206)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)
% 1.72/0.61  % (12222)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)
% 1.72/0.61  % (12228)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.72/0.61  % (12214)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)
% 1.72/0.62  % (12211)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)
% 1.72/0.63  % (12221)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.72/0.63  % (12213)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.72/0.63  % (12220)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)
% 1.72/0.65  % (12204)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.13/0.66  % (12203)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)
% 2.13/0.66  % (12208)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.13/0.66  % (12208)Instruction limit reached!
% 2.13/0.66  % (12208)------------------------------
% 2.13/0.66  % (12208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.66  % (12208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.66  % (12208)Termination reason: Unknown
% 2.13/0.66  % (12208)Termination phase: Unused predicate definition removal
% 2.13/0.66  
% 2.13/0.66  % (12208)Memory used [KB]: 1791
% 2.13/0.66  % (12208)Time elapsed: 0.003 s
% 2.13/0.66  % (12208)Instructions burned: 2 (million)
% 2.13/0.66  % (12208)------------------------------
% 2.13/0.66  % (12208)------------------------------
% 2.13/0.67  % (12217)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.13/0.67  % (12219)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)
% 2.13/0.67  % (12224)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.13/0.67  % (12225)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.13/0.67  % (12210)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.13/0.67  % (12200)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)
% 2.13/0.68  % (12227)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)
% 2.13/0.68  % (12209)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)
% 2.13/0.69  % (12207)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.13/0.69  % (12202)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)
% 2.13/0.69  % (12216)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)
% 2.13/0.70  % (12205)Instruction limit reached!
% 2.13/0.70  % (12205)------------------------------
% 2.13/0.70  % (12205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.70  % (12205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.70  % (12205)Termination reason: Unknown
% 2.13/0.70  % (12205)Termination phase: Saturation
% 2.13/0.70  
% 2.13/0.70  % (12205)Memory used [KB]: 6908
% 2.13/0.70  % (12205)Time elapsed: 0.252 s
% 2.13/0.70  % (12205)Instructions burned: 48 (million)
% 2.13/0.70  % (12205)------------------------------
% 2.13/0.70  % (12205)------------------------------
% 2.13/0.70  % (12226)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)
% 2.13/0.70  % (12206)Instruction limit reached!
% 2.13/0.70  % (12206)------------------------------
% 2.13/0.70  % (12206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.71  % (12218)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.13/0.71  % (12206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.71  % (12206)Termination reason: Unknown
% 2.13/0.71  % (12206)Termination phase: Finite model building preprocessing
% 2.13/0.71  
% 2.13/0.71  % (12206)Memory used [KB]: 2942
% 2.13/0.71  % (12206)Time elapsed: 0.037 s
% 2.13/0.71  % (12206)Instructions burned: 51 (million)
% 2.13/0.71  % (12206)------------------------------
% 2.13/0.71  % (12206)------------------------------
% 2.13/0.72  % (12207)Instruction limit reached!
% 2.13/0.72  % (12207)------------------------------
% 2.13/0.72  % (12207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.72  % (12207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.72  % (12207)Termination reason: Unknown
% 2.13/0.72  % (12207)Termination phase: Property scanning
% 2.13/0.72  
% 2.13/0.72  % (12207)Memory used [KB]: 1918
% 2.13/0.72  % (12207)Time elapsed: 0.008 s
% 2.13/0.72  % (12207)Instructions burned: 7 (million)
% 2.13/0.72  % (12207)------------------------------
% 2.13/0.72  % (12207)------------------------------
% 2.13/0.73  % (12201)Instruction limit reached!
% 2.13/0.73  % (12201)------------------------------
% 2.13/0.73  % (12201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.73  % (12201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.73  % (12201)Termination reason: Unknown
% 2.13/0.73  % (12201)Termination phase: Saturation
% 2.13/0.73  
% 2.13/0.73  % (12201)Memory used [KB]: 6908
% 2.13/0.73  % (12201)Time elapsed: 0.044 s
% 2.13/0.73  % (12201)Instructions burned: 50 (million)
% 2.13/0.73  % (12201)------------------------------
% 2.13/0.73  % (12201)------------------------------
% 2.82/0.75  % (12215)Instruction limit reached!
% 2.82/0.75  % (12215)------------------------------
% 2.82/0.75  % (12215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.75  % (12211)First to succeed.
% 2.82/0.76  % (12211)Refutation found. Thanks to Tanya!
% 2.82/0.76  % SZS status Unsatisfiable for theBenchmark
% 2.82/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 2.82/0.76  % (12211)------------------------------
% 2.82/0.76  % (12211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.76  % (12211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.76  % (12211)Termination reason: Refutation
% 2.82/0.76  
% 2.82/0.76  % (12211)Memory used [KB]: 7036
% 2.82/0.76  % (12211)Time elapsed: 0.282 s
% 2.82/0.76  % (12211)Instructions burned: 54 (million)
% 2.82/0.76  % (12211)------------------------------
% 2.82/0.76  % (12211)------------------------------
% 2.82/0.76  % (12199)Success in time 0.405 s
%------------------------------------------------------------------------------