TSTP Solution File: LCL813-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL813-1 : 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 : n015.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 17:50:04 EDT 2022

% Result   : Unsatisfiable 1.96s 0.70s
% Output   : Refutation 1.96s
% 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    :   15 (  15 usr;  10 con; 0-5 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1514,plain,
    $false,
    inference(subsumption_resolution,[],[f1512,f944]) ).

fof(f944,plain,
    ~ c_Type_Otyping(sF2,sF3,sF1),
    inference(definition_folding,[],[f896,f941,f943,f940,f942,f941,f940]) ).

fof(f942,plain,
    sF2 = c_Type_Oshift(v_e____,sF0,sF1,tc_Type_Otype),
    introduced(function_definition,[]) ).

fof(f940,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = sF0,
    introduced(function_definition,[]) ).

fof(f943,plain,
    sF3 = c_Lambda_OdB_OVar(sF0),
    introduced(function_definition,[]) ).

fof(f941,plain,
    c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype) = sF1,
    introduced(function_definition,[]) ).

fof(f896,axiom,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1512,plain,
    c_Type_Otyping(sF2,sF3,sF1),
    inference(superposition,[],[f995,f1509]) ).

fof(f1509,plain,
    hAPP(sF2,sF0) = sF1,
    inference(superposition,[],[f893,f942]) ).

fof(f893,axiom,
    ! [X7,X5,X32,X13] : hAPP(c_Type_Oshift(X7,X13,X32,X5),X13) = X32,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shift__eq_0) ).

fof(f995,plain,
    ! [X0] : c_Type_Otyping(X0,sF3,hAPP(X0,sF0)),
    inference(superposition,[],[f895,f943]) ).

fof(f895,axiom,
    ! [X74,X13] : c_Type_Otyping(X74,c_Lambda_OdB_OVar(X13),hAPP(X74,X13)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing_OVar_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL813-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 02:57:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.51  % (17822)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (17830)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)
% 0.18/0.53  % (17822)Instruction limit reached!
% 0.18/0.53  % (17822)------------------------------
% 0.18/0.53  % (17822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (17822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (17822)Termination reason: Unknown
% 0.18/0.53  % (17822)Termination phase: Property scanning
% 0.18/0.53  
% 0.18/0.53  % (17822)Memory used [KB]: 1918
% 0.18/0.53  % (17822)Time elapsed: 0.007 s
% 0.18/0.53  % (17822)Instructions burned: 8 (million)
% 0.18/0.53  % (17822)------------------------------
% 0.18/0.53  % (17822)------------------------------
% 0.18/0.53  % (17836)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54  % (17844)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)
% 0.18/0.57  % (17817)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)
% 0.18/0.57  % (17818)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)
% 0.18/0.57  % (17838)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)
% 0.18/0.57  % (17819)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.58  % (17815)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)
% 0.18/0.58  % (17816)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)
% 0.18/0.58  % (17842)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)
% 0.18/0.58  % (17843)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.58  % (17832)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.58  % (17821)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)
% 0.18/0.58  % (17841)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)
% 1.43/0.59  % (17834)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)
% 1.43/0.59  % (17820)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)
% 1.43/0.59  % (17833)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.43/0.59  % (17840)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.43/0.59  % (17829)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)
% 1.43/0.59  % (17837)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)
% 1.43/0.59  % (17826)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)
% 1.43/0.59  % (17828)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.43/0.60  % (17825)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.43/0.60  % (17823)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.43/0.60  % (17823)Instruction limit reached!
% 1.43/0.60  % (17823)------------------------------
% 1.43/0.60  % (17823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.60  % (17823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.60  % (17823)Termination reason: Unknown
% 1.43/0.60  % (17823)Termination phase: shuffling
% 1.43/0.60  
% 1.43/0.60  % (17823)Memory used [KB]: 1791
% 1.43/0.60  % (17823)Time elapsed: 0.002 s
% 1.43/0.60  % (17823)Instructions burned: 2 (million)
% 1.43/0.60  % (17823)------------------------------
% 1.43/0.60  % (17823)------------------------------
% 1.43/0.60  % (17831)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)
% 1.43/0.60  % (17827)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.43/0.60  % (17824)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)
% 1.67/0.61  % (17839)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.67/0.61  % (17835)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)
% 1.67/0.62  % (17830)Instruction limit reached!
% 1.67/0.62  % (17830)------------------------------
% 1.67/0.62  % (17830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.62  % (17817)Instruction limit reached!
% 1.67/0.62  % (17817)------------------------------
% 1.67/0.62  % (17817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.62  % (17817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.62  % (17817)Termination reason: Unknown
% 1.67/0.62  % (17817)Termination phase: Saturation
% 1.67/0.62  
% 1.67/0.62  % (17817)Memory used [KB]: 2046
% 1.67/0.62  % (17817)Time elapsed: 0.019 s
% 1.67/0.62  % (17817)Instructions burned: 38 (million)
% 1.67/0.62  % (17817)------------------------------
% 1.67/0.62  % (17817)------------------------------
% 1.67/0.62  % (17830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.62  % (17830)Termination reason: Unknown
% 1.67/0.62  % (17830)Termination phase: Saturation
% 1.67/0.62  
% 1.67/0.62  % (17830)Memory used [KB]: 2686
% 1.67/0.62  % (17830)Time elapsed: 0.178 s
% 1.67/0.62  % (17830)Instructions burned: 75 (million)
% 1.67/0.62  % (17830)------------------------------
% 1.67/0.62  % (17830)------------------------------
% 1.67/0.63  % (17846)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.67/0.64  % (17821)Instruction limit reached!
% 1.67/0.64  % (17821)------------------------------
% 1.67/0.64  % (17821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.64  % (17821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.64  % (17821)Termination reason: Unknown
% 1.67/0.64  % (17821)Termination phase: Finite model building preprocessing
% 1.67/0.64  
% 1.67/0.64  % (17821)Memory used [KB]: 2942
% 1.67/0.64  % (17821)Time elapsed: 0.024 s
% 1.67/0.64  % (17821)Instructions burned: 51 (million)
% 1.67/0.64  % (17821)------------------------------
% 1.67/0.64  % (17821)------------------------------
% 1.96/0.65  % (17819)Instruction limit reached!
% 1.96/0.65  % (17819)------------------------------
% 1.96/0.65  % (17819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.65  % (17819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.65  % (17819)Termination reason: Unknown
% 1.96/0.65  % (17819)Termination phase: Saturation
% 1.96/0.65  
% 1.96/0.65  % (17819)Memory used [KB]: 6780
% 1.96/0.65  % (17819)Time elapsed: 0.027 s
% 1.96/0.65  % (17819)Instructions burned: 51 (million)
% 1.96/0.65  % (17819)------------------------------
% 1.96/0.65  % (17819)------------------------------
% 1.96/0.67  % (17820)Instruction limit reached!
% 1.96/0.67  % (17820)------------------------------
% 1.96/0.67  % (17820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.67  % (17820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.67  % (17820)Termination reason: Unknown
% 1.96/0.67  % (17820)Termination phase: Saturation
% 1.96/0.67  
% 1.96/0.67  % (17820)Memory used [KB]: 6908
% 1.96/0.67  % (17820)Time elapsed: 0.212 s
% 1.96/0.67  % (17820)Instructions burned: 50 (million)
% 1.96/0.67  % (17820)------------------------------
% 1.96/0.67  % (17820)------------------------------
% 1.96/0.67  % (17818)Instruction limit reached!
% 1.96/0.67  % (17818)------------------------------
% 1.96/0.67  % (17818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.67  % (17818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.67  % (17818)Termination reason: Unknown
% 1.96/0.67  % (17818)Termination phase: Saturation
% 1.96/0.67  
% 1.96/0.67  % (17818)Memory used [KB]: 6908
% 1.96/0.67  % (17818)Time elapsed: 0.207 s
% 1.96/0.67  % (17818)Instructions burned: 51 (million)
% 1.96/0.67  % (17818)------------------------------
% 1.96/0.67  % (17818)------------------------------
% 1.96/0.67  % (17824)Instruction limit reached!
% 1.96/0.67  % (17824)------------------------------
% 1.96/0.67  % (17824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.67  % (17824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.67  % (17824)Termination reason: Unknown
% 1.96/0.67  % (17824)Termination phase: Saturation
% 1.96/0.67  
% 1.96/0.67  % (17824)Memory used [KB]: 2558
% 1.96/0.67  % (17824)Time elapsed: 0.241 s
% 1.96/0.67  % (17824)Instructions burned: 51 (million)
% 1.96/0.67  % (17824)------------------------------
% 1.96/0.67  % (17824)------------------------------
% 1.96/0.68  % (17825)Instruction limit reached!
% 1.96/0.68  % (17825)------------------------------
% 1.96/0.68  % (17825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.68  % (17825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.68  % (17825)Termination reason: Unknown
% 1.96/0.68  % (17825)Termination phase: Saturation
% 1.96/0.68  
% 1.96/0.68  % (17825)Memory used [KB]: 7036
% 1.96/0.68  % (17825)Time elapsed: 0.028 s
% 1.96/0.68  % (17825)Instructions burned: 51 (million)
% 1.96/0.68  % (17825)------------------------------
% 1.96/0.68  % (17825)------------------------------
% 1.96/0.68  % (17816)Instruction limit reached!
% 1.96/0.68  % (17816)------------------------------
% 1.96/0.68  % (17816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.68  % (17816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.68  % (17816)Termination reason: Unknown
% 1.96/0.68  % (17816)Termination phase: Saturation
% 1.96/0.68  
% 1.96/0.68  % (17816)Memory used [KB]: 7036
% 1.96/0.68  % (17816)Time elapsed: 0.029 s
% 1.96/0.68  % (17816)Instructions burned: 50 (million)
% 1.96/0.68  % (17816)------------------------------
% 1.96/0.68  % (17816)------------------------------
% 1.96/0.68  % (17832)Instruction limit reached!
% 1.96/0.68  % (17832)------------------------------
% 1.96/0.68  % (17832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.68  % (17832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.68  % (17832)Termination reason: Unknown
% 1.96/0.68  % (17832)Termination phase: Finite model building preprocessing
% 1.96/0.68  
% 1.96/0.68  % (17832)Memory used [KB]: 2814
% 1.96/0.68  % (17832)Time elapsed: 0.027 s
% 1.96/0.68  % (17832)Instructions burned: 59 (million)
% 1.96/0.68  % (17832)------------------------------
% 1.96/0.68  % (17832)------------------------------
% 1.96/0.70  % (17828)First to succeed.
% 1.96/0.70  % (17826)Also succeeded, but the first one will report.
% 1.96/0.70  % (17828)Refutation found. Thanks to Tanya!
% 1.96/0.70  % SZS status Unsatisfiable for theBenchmark
% 1.96/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.70  % (17828)------------------------------
% 1.96/0.70  % (17828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.70  % (17828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.70  % (17828)Termination reason: Refutation
% 1.96/0.70  
% 1.96/0.70  % (17828)Memory used [KB]: 7164
% 1.96/0.70  % (17828)Time elapsed: 0.260 s
% 1.96/0.70  % (17828)Instructions burned: 65 (million)
% 1.96/0.70  % (17828)------------------------------
% 1.96/0.70  % (17828)------------------------------
% 1.96/0.70  % (17814)Success in time 0.351 s
%------------------------------------------------------------------------------