TSTP Solution File: LCL258-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL258-3 : 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 : n006.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 17:39:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  14 unt;   0 def)
%            Number of atoms       :   37 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  17   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f249,plain,
    $false,
    inference(subsumption_resolution,[],[f242,f15]) ).

fof(f15,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(f242,plain,
    ~ axiom(or(not(q),or(or(not(q),q),q))),
    inference(resolution,[],[f81,f130]) ).

fof(f130,plain,
    ~ theorem(or(not(q),q)),
    inference(resolution,[],[f55,f11]) ).

fof(f11,plain,
    ~ theorem(or(not(p),or(not(or(not(p),q)),q))),
    inference(definition_unfolding,[],[f9,f6,f6,f6]) ).

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

fof(f55,plain,
    ! [X3,X4,X5] :
      ( theorem(or(X5,or(not(or(X5,X3)),X4)))
      | ~ theorem(or(not(X3),X4)) ),
    inference(resolution,[],[f22,f21]) ).

fof(f21,plain,
    ! [X3,X4,X5] :
      ( ~ theorem(or(X4,or(X3,X5)))
      | theorem(or(X3,or(X4,X5))) ),
    inference(resolution,[],[f18,f13]) ).

fof(f13,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(f18,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(X1),X0))
      | theorem(X0)
      | ~ theorem(X1) ),
    inference(resolution,[],[f14,f7]) ).

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

fof(f14,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    inference(definition_unfolding,[],[f8,f6]) ).

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

fof(f22,plain,
    ! [X8,X6,X7] :
      ( theorem(or(not(or(X6,X7)),or(X6,X8)))
      | ~ theorem(or(not(X7),X8)) ),
    inference(resolution,[],[f18,f16]) ).

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) ).

fof(f81,plain,
    ! [X6,X7] :
      ( theorem(or(X6,X7))
      | ~ axiom(or(X6,or(or(X6,X7),X7))) ),
    inference(resolution,[],[f41,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f18,f12]) ).

fof(f12,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f41,plain,
    ! [X8,X6,X7] :
      ( theorem(or(X6,or(X7,X8)))
      | ~ axiom(or(X7,or(X6,X8))) ),
    inference(resolution,[],[f21,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LCL258-3 : TPTP v8.1.0. Released v2.3.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 01:47:10 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (13626)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.49  % (13626)Refutation not found, incomplete strategy% (13626)------------------------------
% 0.20/0.49  % (13626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (13618)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)
% 0.20/0.49  % (13626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (13626)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (13626)Memory used [KB]: 5756
% 0.20/0.49  % (13626)Time elapsed: 0.057 s
% 0.20/0.49  % (13626)Instructions burned: 1 (million)
% 0.20/0.49  % (13626)------------------------------
% 0.20/0.49  % (13626)------------------------------
% 0.20/0.49  % (13610)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (13614)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (13611)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (13611)Refutation not found, incomplete strategy% (13611)------------------------------
% 0.20/0.51  % (13611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (13611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (13611)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (13611)Memory used [KB]: 5756
% 0.20/0.51  % (13611)Time elapsed: 0.001 s
% 0.20/0.51  % (13611)------------------------------
% 0.20/0.51  % (13611)------------------------------
% 0.20/0.51  % (13605)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.51  % (13605)Refutation not found, incomplete strategy% (13605)------------------------------
% 0.20/0.51  % (13605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (13605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (13605)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (13605)Memory used [KB]: 1279
% 0.20/0.51  % (13605)Time elapsed: 0.119 s
% 0.20/0.51  % (13605)Instructions burned: 2 (million)
% 0.20/0.51  % (13605)------------------------------
% 0.20/0.51  % (13605)------------------------------
% 0.20/0.51  % (13610)First to succeed.
% 0.20/0.51  % (13613)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)
% 0.20/0.51  % (13613)Refutation not found, incomplete strategy% (13613)------------------------------
% 0.20/0.51  % (13613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (13613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (13613)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (13613)Memory used [KB]: 5756
% 0.20/0.51  % (13613)Time elapsed: 0.119 s
% 0.20/0.51  % (13613)Instructions burned: 2 (million)
% 0.20/0.51  % (13613)------------------------------
% 0.20/0.51  % (13613)------------------------------
% 0.20/0.51  % (13610)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (13610)------------------------------
% 0.20/0.51  % (13610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (13610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (13610)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (13610)Memory used [KB]: 1407
% 0.20/0.51  % (13610)Time elapsed: 0.073 s
% 0.20/0.51  % (13610)Instructions burned: 13 (million)
% 0.20/0.51  % (13610)------------------------------
% 0.20/0.51  % (13610)------------------------------
% 0.20/0.51  % (13603)Success in time 0.165 s
%------------------------------------------------------------------------------