TSTP Solution File: LCL322-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL322-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.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 17:40:19 EDT 2022

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   41 (  31 unt;   0 def)
%            Number of atoms       :   54 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  19   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1040,plain,
    $false,
    inference(subsumption_resolution,[],[f1036,f220]) ).

fof(f220,plain,
    theorem(or(sF1,sF2)),
    inference(resolution,[],[f106,f32]) ).

fof(f32,plain,
    theorem(or(sF2,sF1)),
    inference(resolution,[],[f30,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

fof(f30,plain,
    axiom(or(sF2,sF1)),
    inference(forward_demodulation,[],[f27,f19]) ).

fof(f19,plain,
    sF2 = not(q),
    introduced(function_definition,[]) ).

fof(f27,plain,
    axiom(or(not(q),sF1)),
    inference(superposition,[],[f14,f18]) ).

fof(f18,plain,
    or(sF0,q) = sF1,
    introduced(function_definition,[]) ).

fof(f14,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,X1))
      | theorem(or(X1,X0)) ),
    inference(resolution,[],[f33,f15]) ).

fof(f15,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | ~ theorem(X4)
      | theorem(X3) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X3,X4] :
      ( theorem(X3)
      | ~ theorem(implies(X4,X3))
      | ~ theorem(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).

fof(f33,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f11,f7]) ).

fof(f11,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f1036,plain,
    ~ theorem(or(sF1,sF2)),
    inference(resolution,[],[f1026,f337]) ).

fof(f337,plain,
    ! [X3,X4,X5] :
      ( theorem(or(X3,or(X4,X5)))
      | ~ theorem(or(X3,X5)) ),
    inference(resolution,[],[f151,f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( theorem(or(X1,X0))
      | ~ theorem(X0) ),
    inference(resolution,[],[f24,f15]) ).

fof(f24,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f14,f7]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X0,or(X1,X2)))
      | theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[],[f58,f15]) ).

fof(f58,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f12,f7]) ).

fof(f12,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f1026,plain,
    ~ theorem(or(sF1,or(p,sF2))),
    inference(resolution,[],[f810,f104]) ).

fof(f104,plain,
    theorem(or(not(or(p,sF2)),sF3)),
    inference(resolution,[],[f38,f7]) ).

fof(f38,plain,
    axiom(or(not(or(p,sF2)),sF3)),
    inference(superposition,[],[f11,f20]) ).

fof(f20,plain,
    or(sF2,p) = sF3,
    introduced(function_definition,[]) ).

fof(f810,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),sF3))
      | ~ theorem(or(sF1,X0)) ),
    inference(subsumption_resolution,[],[f807,f22]) ).

fof(f22,plain,
    ~ theorem(sF4),
    inference(definition_folding,[],[f13,f21,f20,f19,f18,f17]) ).

fof(f17,plain,
    not(p) = sF0,
    introduced(function_definition,[]) ).

fof(f21,plain,
    or(sF1,sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f13,plain,
    ~ theorem(or(or(not(p),q),or(not(q),p))),
    inference(definition_unfolding,[],[f9,f6,f6]) ).

fof(f9,axiom,
    ~ theorem(or(implies(p,q),implies(q,p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f807,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),sF3))
      | theorem(sF4)
      | ~ theorem(or(sF1,X0)) ),
    inference(resolution,[],[f441,f15]) ).

fof(f441,plain,
    ! [X0] :
      ( theorem(or(not(or(sF1,X0)),sF4))
      | ~ theorem(or(not(X0),sF3)) ),
    inference(resolution,[],[f175,f15]) ).

fof(f175,plain,
    ! [X0] : theorem(or(not(or(not(X0),sF3)),or(not(or(sF1,X0)),sF4))),
    inference(resolution,[],[f74,f7]) ).

fof(f74,plain,
    ! [X2] : axiom(or(not(or(not(X2),sF3)),or(not(or(sF1,X2)),sF4))),
    inference(superposition,[],[f16,f21]) ).

fof(f16,plain,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(definition_unfolding,[],[f5,f6,f6,f6]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL322-3 : TPTP v8.1.0. Released v2.3.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 02:02:48 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (19900)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (19914)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.57  % (19914)Instruction limit reached!
% 0.20/0.57  % (19914)------------------------------
% 0.20/0.57  % (19914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (19914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (19914)Termination reason: Unknown
% 0.20/0.57  % (19914)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (19914)Memory used [KB]: 1918
% 0.20/0.57  % (19914)Time elapsed: 0.123 s
% 0.20/0.57  % (19914)Instructions burned: 29 (million)
% 0.20/0.57  % (19914)------------------------------
% 0.20/0.57  % (19914)------------------------------
% 0.20/0.57  % (19902)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.57  % (19902)Refutation not found, incomplete strategy% (19902)------------------------------
% 0.20/0.57  % (19902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (19902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (19902)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (19902)Memory used [KB]: 5884
% 0.20/0.57  % (19902)Time elapsed: 0.139 s
% 0.20/0.57  % (19902)Instructions burned: 3 (million)
% 0.20/0.57  % (19902)------------------------------
% 0.20/0.57  % (19902)------------------------------
% 0.20/0.58  % (19909)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (19909)Refutation not found, incomplete strategy% (19909)------------------------------
% 0.20/0.58  % (19909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (19909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (19909)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (19909)Memory used [KB]: 5756
% 0.20/0.58  % (19909)Time elapsed: 0.138 s
% 0.20/0.58  % (19909)Instructions burned: 1 (million)
% 0.20/0.58  % (19909)------------------------------
% 0.20/0.58  % (19909)------------------------------
% 0.20/0.58  % (19929)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.58  % (19929)Refutation not found, incomplete strategy% (19929)------------------------------
% 0.20/0.58  % (19929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (19929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (19929)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (19929)Memory used [KB]: 5756
% 0.20/0.58  % (19929)Time elapsed: 0.152 s
% 0.20/0.58  % (19929)Instructions burned: 2 (million)
% 0.20/0.58  % (19929)------------------------------
% 0.20/0.58  % (19929)------------------------------
% 0.20/0.60  % (19900)First to succeed.
% 0.20/0.60  % (19923)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.61  % (19900)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61  % (19900)------------------------------
% 0.20/0.61  % (19900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (19900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (19900)Termination reason: Refutation
% 0.20/0.61  
% 0.20/0.61  % (19900)Memory used [KB]: 6780
% 0.20/0.61  % (19900)Time elapsed: 0.163 s
% 0.20/0.61  % (19900)Instructions burned: 51 (million)
% 0.20/0.61  % (19900)------------------------------
% 0.20/0.61  % (19900)------------------------------
% 0.20/0.61  % (19899)Success in time 0.255 s
%------------------------------------------------------------------------------