TSTP Solution File: LCL826-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL826-1 : 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 : n029.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 17:50:07 EDT 2022

% Result   : Unsatisfiable 1.96s 0.64s
% Output   : Refutation 1.96s
% 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 :   14 (   8   ~;   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   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f565,plain,
    $false,
    inference(subsumption_resolution,[],[f564,f388]) ).

fof(f388,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f564,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
    inference(subsumption_resolution,[],[f562,f390]) ).

fof(f390,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f562,plain,
    ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_xb),v_xc)))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,v_xb)) ),
    inference(resolution,[],[f560,f389]) ).

fof(f389,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(f560,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),X0),v_T____))
      | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),v_xc)))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
    inference(resolution,[],[f355,f387]) ).

fof(f387,axiom,
    hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_a____),v_xa)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f355,axiom,
    ! [X62,X60,X25,X61] :
      ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X61),X60),v_T____)),v_a____),X62))
      | ~ hBOOL(hAPP(c_InductTermi_OIT,X25))
      | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X25),X60)))
      | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X61),X25),v_T____)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons_I1_J_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : LCL826-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 02:58:41 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  % (4388)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)
% 0.21/0.52  % (4409)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53  % (4396)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (4414)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)
% 0.21/0.54  % (4391)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)
% 0.21/0.54  % (4393)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)
% 0.21/0.55  % (4390)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)
% 0.21/0.55  % (4396)Instruction limit reached!
% 0.21/0.55  % (4396)------------------------------
% 0.21/0.55  % (4396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (4396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (4396)Termination reason: Unknown
% 0.21/0.55  % (4396)Termination phase: Function definition elimination
% 0.21/0.55  
% 0.21/0.55  % (4396)Memory used [KB]: 1407
% 0.21/0.55  % (4396)Time elapsed: 0.004 s
% 0.21/0.55  % (4396)Instructions burned: 3 (million)
% 0.21/0.55  % (4396)------------------------------
% 0.21/0.55  % (4396)------------------------------
% 0.21/0.55  % (4395)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56  % (4389)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)
% 0.21/0.56  % (4395)Instruction limit reached!
% 0.21/0.56  % (4395)------------------------------
% 0.21/0.56  % (4395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (4395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (4395)Termination reason: Unknown
% 0.21/0.56  % (4395)Termination phase: Property scanning
% 0.21/0.56  
% 0.21/0.56  % (4395)Memory used [KB]: 1407
% 0.21/0.56  % (4395)Time elapsed: 0.004 s
% 0.21/0.56  % (4395)Instructions burned: 8 (million)
% 0.21/0.56  % (4395)------------------------------
% 0.21/0.56  % (4395)------------------------------
% 0.21/0.56  % (4411)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)
% 0.21/0.56  % (4403)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)
% 0.21/0.56  % (4415)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)
% 0.21/0.56  % (4413)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56  % (4404)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)
% 0.21/0.57  % (4394)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)
% 0.21/0.57  % (4400)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.57  % (4417)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)
% 0.21/0.57  % (4406)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.57  % (4405)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.57  % (4412)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.57  % (4392)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57  % (4399)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)
% 0.21/0.57  % (4407)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)
% 0.21/0.57  % (4408)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)
% 0.21/0.58  % (4410)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)
% 0.21/0.58  % (4402)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)
% 0.21/0.58  % (4401)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.58  % (4398)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.59  % (4416)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.65/0.60  % (4397)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)
% 1.65/0.61  % (4390)Instruction limit reached!
% 1.65/0.61  % (4390)------------------------------
% 1.65/0.61  % (4390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.61  % (4390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.61  % (4390)Termination reason: Unknown
% 1.65/0.61  % (4390)Termination phase: Saturation
% 1.65/0.61  
% 1.65/0.61  % (4390)Memory used [KB]: 2046
% 1.65/0.61  % (4390)Time elapsed: 0.018 s
% 1.65/0.61  % (4390)Instructions burned: 37 (million)
% 1.65/0.61  % (4390)------------------------------
% 1.65/0.61  % (4390)------------------------------
% 1.84/0.63  % (4393)Instruction limit reached!
% 1.84/0.63  % (4393)------------------------------
% 1.84/0.63  % (4393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63  % (4393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63  % (4393)Termination reason: Unknown
% 1.84/0.63  % (4393)Termination phase: Saturation
% 1.84/0.63  
% 1.84/0.63  % (4393)Memory used [KB]: 6524
% 1.84/0.63  % (4393)Time elapsed: 0.180 s
% 1.84/0.63  % (4393)Instructions burned: 48 (million)
% 1.84/0.63  % (4393)------------------------------
% 1.84/0.63  % (4393)------------------------------
% 1.84/0.63  % (4392)Instruction limit reached!
% 1.84/0.63  % (4392)------------------------------
% 1.84/0.63  % (4392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.63  % (4411)First to succeed.
% 1.96/0.64  % (4405)Instruction limit reached!
% 1.96/0.64  % (4405)------------------------------
% 1.96/0.64  % (4405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64  % (4405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64  % (4405)Termination reason: Unknown
% 1.96/0.64  % (4405)Termination phase: Finite model building preprocessing
% 1.96/0.64  
% 1.96/0.64  % (4405)Memory used [KB]: 2686
% 1.96/0.64  % (4405)Time elapsed: 0.027 s
% 1.96/0.64  % (4405)Instructions burned: 60 (million)
% 1.96/0.64  % (4405)------------------------------
% 1.96/0.64  % (4405)------------------------------
% 1.96/0.64  % (4411)Refutation found. Thanks to Tanya!
% 1.96/0.64  % SZS status Unsatisfiable for theBenchmark
% 1.96/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.64  % (4411)------------------------------
% 1.96/0.64  % (4411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.64  % (4411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.64  % (4411)Termination reason: Refutation
% 1.96/0.64  
% 1.96/0.64  % (4411)Memory used [KB]: 7036
% 1.96/0.64  % (4411)Time elapsed: 0.168 s
% 1.96/0.64  % (4411)Instructions burned: 55 (million)
% 1.96/0.64  % (4411)------------------------------
% 1.96/0.64  % (4411)------------------------------
% 1.96/0.64  % (4387)Success in time 0.279 s
%------------------------------------------------------------------------------