TSTP Solution File: LCL806-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL806-1 : 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 : n020.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 17:50:02 EDT 2022

% Result   : Unsatisfiable 2.95s 0.80s
% Output   : Refutation 2.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f571,plain,
    $false,
    inference(subsumption_resolution,[],[f570,f388]) ).

fof(f388,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f570,plain,
    hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))),
    inference(resolution,[],[f569,f385]) ).

fof(f385,axiom,
    hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f569,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),X0),v_T____)),v_b____),X1))
      | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),X0))) ),
    inference(subsumption_resolution,[],[f568,f386]) ).

fof(f386,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f568,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(c_InductTermi_OIT,v_xb))
      | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),X0)))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),X0),v_T____)),v_b____),X1)) ),
    inference(resolution,[],[f384,f387]) ).

fof(f387,axiom,
    hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f384,axiom,
    ! [X62,X60,X25,X61] :
      ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X61),X25),v_T____))
      | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X25),X60)))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X61),X60),v_T____)),v_b____),X62))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL806-1 : 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
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 02:59:30 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.60  % (29053)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)
% 0.20/0.60  % (29078)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)
% 0.20/0.60  % (29070)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.84/0.62  % (29062)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.84/0.62  % (29069)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.84/0.63  % (29063)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)
% 1.84/0.63  % (29064)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.84/0.63  % (29061)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)
% 1.84/0.63  % (29058)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)
% 1.84/0.63  % (29075)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)
% 1.84/0.64  % (29057)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)
% 1.84/0.64  % (29067)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)
% 2.04/0.64  % (29052)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)
% 2.04/0.64  % (29054)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)
% 2.04/0.65  % (29056)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.04/0.65  % (29055)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)
% 2.04/0.65  % (29059)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.16/0.65  % (29068)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)
% 2.16/0.65  % (29073)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.16/0.66  % (29076)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.16/0.66  % (29066)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)
% 2.16/0.66  % (29077)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.16/0.66  % (29080)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.16/0.66  % (29079)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)
% 2.16/0.66  % (29081)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)
% 2.16/0.66  % (29060)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.16/0.67  % (29074)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)
% 2.16/0.67  % (29059)Instruction limit reached!
% 2.16/0.67  % (29059)------------------------------
% 2.16/0.67  % (29059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.67  % (29059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.67  % (29059)Termination reason: Unknown
% 2.16/0.67  % (29059)Termination phase: Property scanning
% 2.16/0.67  
% 2.16/0.67  % (29059)Memory used [KB]: 1407
% 2.16/0.67  % (29059)Time elapsed: 0.011 s
% 2.16/0.67  % (29059)Instructions burned: 7 (million)
% 2.16/0.67  % (29059)------------------------------
% 2.16/0.67  % (29059)------------------------------
% 2.16/0.68  % (29065)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.16/0.68  % (29060)Instruction limit reached!
% 2.16/0.68  % (29060)------------------------------
% 2.16/0.68  % (29060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.68  % (29060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.68  % (29060)Termination reason: Unknown
% 2.16/0.68  % (29060)Termination phase: Function definition elimination
% 2.16/0.68  
% 2.16/0.68  % (29060)Memory used [KB]: 1407
% 2.16/0.68  % (29060)Time elapsed: 0.004 s
% 2.16/0.68  % (29060)Instructions burned: 2 (million)
% 2.16/0.68  % (29060)------------------------------
% 2.16/0.68  % (29060)------------------------------
% 2.16/0.69  % (29072)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)
% 2.16/0.69  % (29071)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)
% 2.16/0.71  % (29062)Instruction limit reached!
% 2.16/0.71  % (29062)------------------------------
% 2.16/0.71  % (29062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.72  % (29069)Instruction limit reached!
% 2.61/0.72  % (29069)------------------------------
% 2.61/0.72  % (29069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.72  % (29054)Instruction limit reached!
% 2.61/0.72  % (29054)------------------------------
% 2.61/0.72  % (29054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.72  % (29054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.72  % (29054)Termination reason: Unknown
% 2.61/0.72  % (29054)Termination phase: Saturation
% 2.61/0.72  
% 2.61/0.72  % (29054)Memory used [KB]: 2046
% 2.61/0.72  % (29054)Time elapsed: 0.039 s
% 2.61/0.72  % (29054)Instructions burned: 38 (million)
% 2.61/0.72  % (29054)------------------------------
% 2.61/0.72  % (29054)------------------------------
% 2.61/0.72  % (29053)Instruction limit reached!
% 2.61/0.72  % (29053)------------------------------
% 2.61/0.72  % (29053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.72  % (29053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.72  % (29053)Termination reason: Unknown
% 2.61/0.72  % (29053)Termination phase: Saturation
% 2.61/0.72  
% 2.61/0.72  % (29053)Memory used [KB]: 7164
% 2.61/0.72  % (29053)Time elapsed: 0.256 s
% 2.61/0.72  % (29053)Instructions burned: 50 (million)
% 2.61/0.72  % (29053)------------------------------
% 2.61/0.72  % (29053)------------------------------
% 2.61/0.73  % (29069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73  % (29069)Termination reason: Unknown
% 2.61/0.73  % (29069)Termination phase: Finite model building preprocessing
% 2.61/0.73  
% 2.61/0.73  % (29069)Memory used [KB]: 2558
% 2.61/0.73  % (29069)Time elapsed: 0.039 s
% 2.61/0.73  % (29069)Instructions burned: 59 (million)
% 2.61/0.73  % (29069)------------------------------
% 2.61/0.73  % (29069)------------------------------
% 2.61/0.73  % (29062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73  % (29062)Termination reason: Unknown
% 2.61/0.73  % (29062)Termination phase: Saturation
% 2.61/0.73  
% 2.61/0.73  % (29062)Memory used [KB]: 7164
% 2.61/0.73  % (29062)Time elapsed: 0.257 s
% 2.61/0.73  % (29062)Instructions burned: 50 (million)
% 2.61/0.73  % (29062)------------------------------
% 2.61/0.73  % (29062)------------------------------
% 2.61/0.73  % (29061)Instruction limit reached!
% 2.61/0.73  % (29061)------------------------------
% 2.61/0.73  % (29061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.73  % (29061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.73  % (29061)Termination reason: Unknown
% 2.61/0.73  % (29061)Termination phase: Saturation
% 2.61/0.73  
% 2.61/0.73  % (29061)Memory used [KB]: 2558
% 2.61/0.73  % (29061)Time elapsed: 0.260 s
% 2.61/0.73  % (29061)Instructions burned: 51 (million)
% 2.61/0.73  % (29061)------------------------------
% 2.61/0.73  % (29061)------------------------------
% 2.61/0.75  % (29058)Instruction limit reached!
% 2.61/0.75  % (29058)------------------------------
% 2.61/0.75  % (29058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.75  % (29058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.75  % (29058)Termination reason: Unknown
% 2.61/0.75  % (29058)Termination phase: Finite model building preprocessing
% 2.61/0.75  
% 2.61/0.75  % (29058)Memory used [KB]: 2686
% 2.61/0.75  % (29058)Time elapsed: 0.036 s
% 2.61/0.75  % (29058)Instructions burned: 52 (million)
% 2.61/0.75  % (29058)------------------------------
% 2.61/0.75  % (29058)------------------------------
% 2.61/0.75  % (29078)Instruction limit reached!
% 2.61/0.75  % (29078)------------------------------
% 2.61/0.75  % (29078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.75  % (29078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.75  % (29078)Termination reason: Unknown
% 2.61/0.75  % (29078)Termination phase: Saturation
% 2.61/0.75  
% 2.61/0.75  % (29078)Memory used [KB]: 7291
% 2.61/0.75  % (29078)Time elapsed: 0.055 s
% 2.61/0.75  % (29078)Instructions burned: 68 (million)
% 2.61/0.75  % (29078)------------------------------
% 2.61/0.75  % (29078)------------------------------
% 2.61/0.76  % (29057)Instruction limit reached!
% 2.61/0.76  % (29057)------------------------------
% 2.61/0.76  % (29057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.76  % (29057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.76  % (29057)Termination reason: Unknown
% 2.61/0.76  % (29057)Termination phase: Saturation
% 2.61/0.76  
% 2.61/0.76  % (29057)Memory used [KB]: 6524
% 2.61/0.76  % (29057)Time elapsed: 0.302 s
% 2.61/0.76  % (29057)Instructions burned: 48 (million)
% 2.61/0.76  % (29057)------------------------------
% 2.61/0.76  % (29057)------------------------------
% 2.95/0.79  % (29075)First to succeed.
% 2.95/0.80  % (29075)Refutation found. Thanks to Tanya!
% 2.95/0.80  % SZS status Unsatisfiable for theBenchmark
% 2.95/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 2.95/0.80  % (29075)------------------------------
% 2.95/0.80  % (29075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.80  % (29075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.80  % (29075)Termination reason: Refutation
% 2.95/0.80  
% 2.95/0.80  % (29075)Memory used [KB]: 6780
% 2.95/0.80  % (29075)Time elapsed: 0.267 s
% 2.95/0.80  % (29075)Instructions burned: 58 (million)
% 2.95/0.80  % (29075)------------------------------
% 2.95/0.80  % (29075)------------------------------
% 2.95/0.80  % (29051)Success in time 0.433 s
%------------------------------------------------------------------------------