TSTP Solution File: LCL200-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL200-1 : TPTP v8.1.0. Released v1.1.0.
% 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 17:47:16 EDT 2022

% Result   : Unsatisfiable 1.84s 0.59s
% Output   : Refutation 1.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   32 (  22 unt;   0 def)
%            Number of atoms       :   46 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  17   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f562,plain,
    $false,
    inference(subsumption_resolution,[],[f547,f111]) ).

fof(f111,plain,
    ~ theorem(or(sF3,sF2)),
    inference(subsumption_resolution,[],[f109,f15]) ).

fof(f15,plain,
    ~ theorem(sF4),
    inference(definition_folding,[],[f9,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    or(p,q) = sF0,
    introduced(function_definition,[]) ).

fof(f11,plain,
    not(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f12,plain,
    sF2 = not(sF1),
    introduced(function_definition,[]) ).

fof(f13,plain,
    not(q) = sF3,
    introduced(function_definition,[]) ).

fof(f14,plain,
    sF4 = or(sF2,sF3),
    introduced(function_definition,[]) ).

fof(f9,axiom,
    ~ theorem(or(not(not(or(p,q))),not(q))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f109,plain,
    ( theorem(sF4)
    | ~ theorem(or(sF3,sF2)) ),
    inference(resolution,[],[f29,f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f29,plain,
    axiom(or(not(or(sF3,sF2)),sF4)),
    inference(superposition,[],[f3,f14]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f547,plain,
    theorem(or(sF3,sF2)),
    inference(resolution,[],[f490,f280]) ).

fof(f280,plain,
    theorem(or(sF1,sF2)),
    inference(resolution,[],[f277,f32]) ).

fof(f32,plain,
    ! [X2,X1] :
      ( ~ theorem(or(X2,X1))
      | theorem(or(X1,X2)) ),
    inference(resolution,[],[f7,f3]) ).

fof(f277,plain,
    theorem(or(sF2,sF1)),
    inference(resolution,[],[f250,f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f250,plain,
    ! [X14] : theorem(or(X14,or(sF2,sF1))),
    inference(resolution,[],[f69,f65]) ).

fof(f65,plain,
    ! [X0] : theorem(or(sF2,or(X0,sF1))),
    inference(resolution,[],[f19,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f19,plain,
    ! [X1] : axiom(or(sF2,or(X1,sF1))),
    inference(superposition,[],[f2,f12]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X1,or(X0,X2)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f4,f7]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f490,plain,
    ! [X2] :
      ( ~ theorem(or(sF1,X2))
      | theorem(or(sF3,X2)) ),
    inference(subsumption_resolution,[],[f481,f23]) ).

fof(f23,plain,
    axiom(or(sF3,sF0)),
    inference(forward_demodulation,[],[f21,f13]) ).

fof(f21,plain,
    axiom(or(not(q),sF0)),
    inference(superposition,[],[f2,f10]) ).

fof(f481,plain,
    ! [X2] :
      ( theorem(or(sF3,X2))
      | ~ axiom(or(sF3,sF0))
      | ~ theorem(or(sF1,X2)) ),
    inference(superposition,[],[f102,f13]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(X1),sF0))
      | theorem(or(not(X1),X0))
      | ~ theorem(or(sF1,X0)) ),
    inference(superposition,[],[f8,f11]) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( ~ theorem(or(not(X4),X5))
      | theorem(or(not(X3),X5))
      | ~ axiom(or(not(X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : LCL200-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 01:45:17 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.47  % (8756)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.17/0.48  TRYING [1]
% 0.17/0.48  % (8762)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.17/0.49  % (8773)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 (3000ds/467Mi)
% 0.17/0.49  % (8772)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 (3000ds/498Mi)
% 0.17/0.49  TRYING [2]
% 0.17/0.49  % (8765)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 (3000ds/75Mi)
% 0.17/0.49  TRYING [3]
% 0.17/0.49  % (8751)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.50  % (8759)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 (3000ds/51Mi)
% 0.17/0.50  % (8752)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 (3000ds/37Mi)
% 0.17/0.51  % (8764)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 (3000ds/68Mi)
% 0.17/0.51  % (8757)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.17/0.51  % (8751)Refutation not found, incomplete strategy% (8751)------------------------------
% 0.17/0.51  % (8751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (8778)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.17/0.51  % (8750)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 (3000ds/191324Mi)
% 0.17/0.51  % (8751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (8751)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51  
% 0.17/0.51  % (8751)Memory used [KB]: 5373
% 0.17/0.51  % (8751)Time elapsed: 0.125 s
% 0.17/0.51  % (8751)Instructions burned: 1 (million)
% 0.17/0.51  % (8751)------------------------------
% 0.17/0.51  % (8751)------------------------------
% 0.17/0.51  % (8758)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.51  % (8758)Instruction limit reached!
% 0.17/0.51  % (8758)------------------------------
% 0.17/0.51  % (8758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (8758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (8758)Termination reason: Unknown
% 0.17/0.51  % (8758)Termination phase: Saturation
% 0.17/0.51  
% 0.17/0.51  % (8758)Memory used [KB]: 5373
% 0.17/0.51  % (8758)Time elapsed: 0.135 s
% 0.17/0.51  % (8758)Instructions burned: 3 (million)
% 0.17/0.51  % (8758)------------------------------
% 0.17/0.51  % (8758)------------------------------
% 0.17/0.51  % (8760)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.52  % (8753)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.17/0.52  % (8761)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.17/0.52  % (8754)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.17/0.52  % (8763)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.17/0.52  % (8757)Instruction limit reached!
% 0.17/0.52  % (8757)------------------------------
% 0.17/0.52  % (8757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (8757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (8757)Termination reason: Unknown
% 0.17/0.52  % (8757)Termination phase: Saturation
% 0.17/0.52  
% 0.17/0.52  % (8757)Memory used [KB]: 5500
% 0.17/0.52  % (8757)Time elapsed: 0.081 s
% 0.17/0.52  % (8757)Instructions burned: 8 (million)
% 0.17/0.52  % (8757)------------------------------
% 0.17/0.52  % (8757)------------------------------
% 0.17/0.52  TRYING [4]
% 0.17/0.53  TRYING [1]
% 0.17/0.53  TRYING [2]
% 0.17/0.53  TRYING [3]
% 0.17/0.53  % (8776)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 (3000ds/68Mi)
% 0.17/0.54  % (8755)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 (3000ds/48Mi)
% 0.17/0.54  % (8774)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.17/0.55  % (8770)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 (3000ds/176Mi)
% 0.17/0.55  % (8768)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.17/0.55  % (8766)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 (3000ds/99Mi)
% 0.17/0.55  % (8756)Instruction limit reached!
% 0.17/0.55  % (8756)------------------------------
% 0.17/0.55  % (8756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55  % (8756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55  % (8756)Termination reason: Unknown
% 0.17/0.55  % (8756)Termination phase: Finite model building SAT solving
% 0.17/0.55  
% 0.17/0.55  % (8756)Memory used [KB]: 6908
% 0.17/0.55  % (8756)Time elapsed: 0.150 s
% 0.17/0.55  % (8756)Instructions burned: 51 (million)
% 0.17/0.55  % (8756)------------------------------
% 0.17/0.55  % (8756)------------------------------
% 0.17/0.55  % (8775)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.17/0.56  % (8779)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 (3000ds/355Mi)
% 0.17/0.56  % (8777)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 (3000ds/177Mi)
% 0.17/0.56  % (8771)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.17/0.57  % (8767)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.17/0.57  TRYING [1]
% 0.17/0.57  TRYING [2]
% 0.17/0.57  % (8763)First to succeed.
% 0.17/0.58  % (8769)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 (3000ds/100Mi)
% 1.84/0.58  TRYING [4]
% 1.84/0.59  % (8763)Refutation found. Thanks to Tanya!
% 1.84/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.84/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.59  % (8763)------------------------------
% 1.84/0.59  % (8763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59  % (8763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59  % (8763)Termination reason: Refutation
% 1.84/0.59  
% 1.84/0.59  % (8763)Memory used [KB]: 5756
% 1.84/0.59  % (8763)Time elapsed: 0.178 s
% 1.84/0.59  % (8763)Instructions burned: 20 (million)
% 1.84/0.59  % (8763)------------------------------
% 1.84/0.59  % (8763)------------------------------
% 1.84/0.59  % (8749)Success in time 0.263 s
%------------------------------------------------------------------------------