TSTP Solution File: LCL796-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL796-1 : 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 : n008.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 17:50:00 EDT 2022

% Result   : Unsatisfiable 2.43s 0.71s
% Output   : Refutation 2.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (   5 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    :   11 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1690,plain,
    $false,
    inference(resolution,[],[f1687,f1020]) ).

fof(f1020,plain,
    ~ c_Type_Otyping(sF1,sF2,v_T_H_H____),
    inference(definition_folding,[],[f975,f1019,f1017,f1018,f1017]) ).

fof(f1018,plain,
    sF1 = c_Type_Oshift(v_e____,sF0,v_T_H_H____,tc_Type_Otype),
    introduced(function_definition,[]) ).

fof(f1017,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = sF0,
    introduced(function_definition,[]) ).

fof(f1019,plain,
    c_Lambda_OdB_OVar(sF0) = sF2,
    introduced(function_definition,[]) ).

fof(f975,axiom,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1687,plain,
    c_Type_Otyping(sF1,sF2,v_T_H_H____),
    inference(superposition,[],[f1197,f1684]) ).

fof(f1684,plain,
    v_T_H_H____ = hAPP(sF1,sF0),
    inference(superposition,[],[f972,f1018]) ).

fof(f972,axiom,
    ! [X0,X1,X7,X61] : hAPP(c_Type_Oshift(X7,X1,X61,X0),X1) = X61,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shift__eq_0) ).

fof(f1197,plain,
    ! [X0] : c_Type_Otyping(X0,sF2,hAPP(X0,sF0)),
    inference(superposition,[],[f974,f1019]) ).

fof(f974,axiom,
    ! [X59,X1] : c_Type_Otyping(X59,c_Lambda_OdB_OVar(X1),hAPP(X59,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typing_OVar_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : LCL796-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % 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 : n008.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 02:47:55 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.50  % (26145)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)
% 0.18/0.50  % (26137)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)
% 0.18/0.50  % (26129)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)
% 0.18/0.54  % (26133)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.55  % (26126)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)
% 0.18/0.56  % (26124)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)
% 0.18/0.56  % (26141)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.56  % (26149)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)
% 0.18/0.56  % (26136)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.57  % (26135)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.57  % (26125)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  % (26129)Instruction limit reached!
% 0.18/0.57  % (26129)------------------------------
% 0.18/0.57  % (26129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (26129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (26129)Termination reason: Unknown
% 0.18/0.57  % (26129)Termination phase: Finite model building preprocessing
% 0.18/0.57  
% 0.18/0.57  % (26129)Memory used [KB]: 2942
% 0.18/0.57  % (26129)Time elapsed: 0.038 s
% 0.18/0.57  % (26129)Instructions burned: 51 (million)
% 0.18/0.57  % (26129)------------------------------
% 0.18/0.57  % (26129)------------------------------
% 0.18/0.57  % (26131)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.57  % (26146)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  % (26123)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)
% 0.18/0.57  % (26128)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)
% 0.18/0.58  % (26150)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  % (26143)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)
% 0.18/0.58  % (26151)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  % (26139)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)
% 0.18/0.58  % (26138)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)
% 0.18/0.58  % (26142)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)
% 0.18/0.58  % (26140)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.58  % (26134)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)
% 0.18/0.58  % (26152)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)
% 0.18/0.58  % (26130)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.59  % (26131)Instruction limit reached!
% 0.18/0.59  % (26131)------------------------------
% 0.18/0.59  % (26131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (26131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (26131)Termination reason: Unknown
% 0.18/0.59  % (26131)Termination phase: Unused predicate definition removal
% 0.18/0.59  
% 0.18/0.59  % (26131)Memory used [KB]: 1918
% 0.18/0.59  % (26131)Time elapsed: 0.004 s
% 0.18/0.59  % (26131)Instructions burned: 2 (million)
% 0.18/0.59  % (26131)------------------------------
% 0.18/0.59  % (26131)------------------------------
% 0.18/0.59  % (26147)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.60  % (26137)Instruction limit reached!
% 0.18/0.60  % (26137)------------------------------
% 0.18/0.60  % (26137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.60  % (26137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.60  % (26137)Termination reason: Unknown
% 0.18/0.60  % (26137)Termination phase: Saturation
% 0.18/0.60  
% 0.18/0.60  % (26137)Memory used [KB]: 8059
% 0.18/0.60  % (26137)Time elapsed: 0.061 s
% 0.18/0.60  % (26137)Instructions burned: 68 (million)
% 0.18/0.60  % (26137)------------------------------
% 0.18/0.60  % (26137)------------------------------
% 0.18/0.60  % (26127)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.60  % (26144)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.63/0.61  % (26130)Instruction limit reached!
% 1.63/0.61  % (26130)------------------------------
% 1.63/0.61  % (26130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.61  % (26130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.61  % (26130)Termination reason: Unknown
% 1.63/0.61  % (26130)Termination phase: Property scanning
% 1.63/0.61  
% 1.63/0.61  % (26130)Memory used [KB]: 1918
% 1.63/0.61  % (26130)Time elapsed: 0.006 s
% 1.63/0.61  % (26130)Instructions burned: 10 (million)
% 1.63/0.61  % (26130)------------------------------
% 1.63/0.61  % (26130)------------------------------
% 1.79/0.62  % (26148)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.79/0.62  % (26125)Instruction limit reached!
% 1.79/0.62  % (26125)------------------------------
% 1.79/0.62  % (26125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.62  % (26125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.62  % (26125)Termination reason: Unknown
% 1.79/0.62  % (26125)Termination phase: Saturation
% 1.79/0.62  
% 1.79/0.62  % (26125)Memory used [KB]: 2046
% 1.79/0.62  % (26125)Time elapsed: 0.018 s
% 1.79/0.62  % (26125)Instructions burned: 38 (million)
% 1.79/0.62  % (26125)------------------------------
% 1.79/0.62  % (26125)------------------------------
% 1.85/0.63  % (26132)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)
% 1.85/0.63  % (26133)Instruction limit reached!
% 1.85/0.63  % (26133)------------------------------
% 1.85/0.63  % (26133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.63  % (26133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.63  % (26133)Termination reason: Unknown
% 1.85/0.63  % (26133)Termination phase: Saturation
% 1.85/0.63  
% 1.85/0.63  % (26133)Memory used [KB]: 7164
% 1.85/0.63  % (26133)Time elapsed: 0.039 s
% 1.85/0.63  % (26133)Instructions burned: 51 (million)
% 1.85/0.63  % (26133)------------------------------
% 1.85/0.63  % (26133)------------------------------
% 1.85/0.65  % (26140)Instruction limit reached!
% 1.85/0.65  % (26140)------------------------------
% 1.85/0.65  % (26140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.65  % (26140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.65  % (26140)Termination reason: Unknown
% 1.85/0.65  % (26140)Termination phase: Finite model building preprocessing
% 1.85/0.65  
% 1.85/0.65  % (26140)Memory used [KB]: 2814
% 1.85/0.65  % (26140)Time elapsed: 0.041 s
% 1.85/0.65  % (26140)Instructions burned: 61 (million)
% 1.85/0.65  % (26140)------------------------------
% 1.85/0.65  % (26140)------------------------------
% 1.85/0.65  % (26124)Instruction limit reached!
% 1.85/0.65  % (26124)------------------------------
% 1.85/0.65  % (26124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.65  % (26124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.65  % (26124)Termination reason: Unknown
% 1.85/0.65  % (26124)Termination phase: Saturation
% 1.85/0.65  
% 1.85/0.65  % (26124)Memory used [KB]: 7164
% 1.85/0.65  % (26124)Time elapsed: 0.028 s
% 1.85/0.65  % (26124)Instructions burned: 51 (million)
% 1.85/0.65  % (26124)------------------------------
% 1.85/0.65  % (26124)------------------------------
% 1.85/0.65  % (26126)Instruction limit reached!
% 1.85/0.65  % (26126)------------------------------
% 1.85/0.65  % (26126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.65  % (26126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.65  % (26126)Termination reason: Unknown
% 1.85/0.65  % (26126)Termination phase: Saturation
% 1.85/0.65  
% 1.85/0.65  % (26126)Memory used [KB]: 7036
% 1.85/0.65  % (26126)Time elapsed: 0.026 s
% 1.85/0.65  % (26126)Instructions burned: 52 (million)
% 1.85/0.65  % (26126)------------------------------
% 1.85/0.65  % (26126)------------------------------
% 1.85/0.65  % (26128)Instruction limit reached!
% 1.85/0.65  % (26128)------------------------------
% 1.85/0.65  % (26128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.65  % (26128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.65  % (26128)Termination reason: Unknown
% 1.85/0.65  % (26128)Termination phase: Saturation
% 1.85/0.65  
% 1.85/0.65  % (26128)Memory used [KB]: 7036
% 1.85/0.65  % (26128)Time elapsed: 0.216 s
% 1.85/0.65  % (26128)Instructions burned: 49 (million)
% 1.85/0.65  % (26128)------------------------------
% 1.85/0.65  % (26128)------------------------------
% 1.85/0.67  % (26149)Instruction limit reached!
% 1.85/0.67  % (26149)------------------------------
% 1.85/0.67  % (26149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.67  % (26149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.67  % (26149)Termination reason: Unknown
% 1.85/0.67  % (26149)Termination phase: Saturation
% 1.85/0.67  
% 1.85/0.67  % (26149)Memory used [KB]: 8059
% 1.85/0.67  % (26149)Time elapsed: 0.065 s
% 1.85/0.67  % (26149)Instructions burned: 68 (million)
% 1.85/0.67  % (26149)------------------------------
% 1.85/0.67  % (26149)------------------------------
% 1.85/0.69  % (26127)Instruction limit reached!
% 1.85/0.69  % (26127)------------------------------
% 1.85/0.69  % (26127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.69  % (26127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.69  % (26127)Termination reason: Unknown
% 1.85/0.69  % (26127)Termination phase: Saturation
% 1.85/0.69  
% 1.85/0.69  % (26127)Memory used [KB]: 6908
% 1.85/0.69  % (26127)Time elapsed: 0.035 s
% 1.85/0.69  % (26127)Instructions burned: 52 (million)
% 1.85/0.69  % (26127)------------------------------
% 1.85/0.69  % (26127)------------------------------
% 1.85/0.70  % (26153)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 (2997ds/388Mi)
% 1.85/0.70  % (26134)First to succeed.
% 2.43/0.71  % (26134)Refutation found. Thanks to Tanya!
% 2.43/0.71  % SZS status Unsatisfiable for theBenchmark
% 2.43/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.43/0.71  % (26134)------------------------------
% 2.43/0.71  % (26134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.71  % (26134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.71  % (26134)Termination reason: Refutation
% 2.43/0.71  
% 2.43/0.71  % (26134)Memory used [KB]: 7291
% 2.43/0.71  % (26134)Time elapsed: 0.270 s
% 2.43/0.71  % (26134)Instructions burned: 72 (million)
% 2.43/0.71  % (26134)------------------------------
% 2.43/0.71  % (26134)------------------------------
% 2.43/0.71  % (26122)Success in time 0.361 s
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