TSTP Solution File: LCL186-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL186-3 : 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 : n012.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 17:39:15 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   40 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  20   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   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   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f491,plain,
    $false,
    inference(resolution,[],[f459,f103]) ).

fof(f103,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f96,f10]) ).

fof(f10,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f96,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(or(or(X0,X1),not(X1))),X2))
      | theorem(X2) ),
    inference(resolution,[],[f28,f11]) ).

fof(f11,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f28,plain,
    ! [X2,X3,X4] :
      ( ~ axiom(or(X2,X3))
      | ~ axiom(or(not(or(X3,X2)),X4))
      | theorem(X4) ),
    inference(resolution,[],[f22,f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ theorem(X1)
      | ~ axiom(or(not(X1),X0))
      | theorem(X0) ),
    inference(resolution,[],[f16,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( theorem(X3)
      | ~ axiom(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f16,plain,
    ! [X3,X4] :
      ( ~ theorem(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X3,X4] :
      ( ~ theorem(implies(X4,X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f22,plain,
    ! [X3,X4] :
      ( theorem(or(X3,X4))
      | ~ axiom(or(X4,X3)) ),
    inference(resolution,[],[f19,f10]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(X0),X1))
      | theorem(X1)
      | ~ axiom(X0) ),
    inference(resolution,[],[f18,f7]) ).

fof(f459,plain,
    ~ theorem(or(not(not(p)),or(q,not(p)))),
    inference(resolution,[],[f215,f15]) ).

fof(f15,plain,
    ~ theorem(or(not(not(p)),or(not(p),q))),
    inference(definition_unfolding,[],[f9,f6,f6]) ).

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

fof(f215,plain,
    ! [X6,X7,X5] :
      ( theorem(or(X5,or(X6,X7)))
      | ~ theorem(or(X5,or(X7,X6))) ),
    inference(resolution,[],[f101,f10]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(or(X2,X0)) ),
    inference(resolution,[],[f62,f16]) ).

fof(f62,plain,
    ! [X8,X6,X7] :
      ( theorem(or(not(or(X6,X7)),or(X6,X8)))
      | ~ axiom(or(not(X7),X8)) ),
    inference(resolution,[],[f13,f19]) ).

fof(f13,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/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : LCL186-3 : TPTP v8.1.0. Released v2.3.0.
% 0.05/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 01:41:21 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (25233)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50  % (25228)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50  % (25249)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.51  % (25257)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)
% 0.19/0.51  % (25238)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)
% 0.19/0.51  % (25251)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)
% 0.19/0.51  % (25243)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51  % (25236)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  % (25246)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.52  % (25246)Refutation not found, incomplete strategy% (25246)------------------------------
% 0.19/0.52  % (25246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25246)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (25246)Memory used [KB]: 10234
% 0.19/0.52  % (25246)Time elapsed: 0.132 s
% 0.19/0.52  % (25246)Instructions burned: 2 (million)
% 0.19/0.52  % (25246)------------------------------
% 0.19/0.52  % (25246)------------------------------
% 0.19/0.52  % (25235)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)
% 0.19/0.52  % (25235)Refutation not found, incomplete strategy% (25235)------------------------------
% 0.19/0.52  % (25235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25243)Instruction limit reached!
% 0.19/0.52  % (25243)------------------------------
% 0.19/0.52  % (25243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25231)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52  % (25243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25235)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (25243)Termination reason: Unknown
% 0.19/0.52  % (25235)Memory used [KB]: 5756
% 0.19/0.52  % (25243)Termination phase: Finite model building SAT solving
% 0.19/0.52  
% 0.19/0.52  % (25235)Time elapsed: 0.005 s
% 0.19/0.52  % (25243)Memory used [KB]: 5884
% 0.19/0.52  % (25235)Instructions burned: 1 (million)
% 0.19/0.52  % (25243)Time elapsed: 0.081 s
% 0.19/0.52  % (25235)------------------------------
% 0.19/0.52  % (25235)------------------------------
% 0.19/0.52  % (25243)Instructions burned: 7 (million)
% 0.19/0.52  % (25232)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.52  % (25243)------------------------------
% 0.19/0.52  % (25243)------------------------------
% 0.19/0.52  % (25234)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)
% 0.19/0.52  % (25254)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.52  % (25254)Refutation not found, incomplete strategy% (25254)------------------------------
% 0.19/0.52  % (25254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25254)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (25254)Memory used [KB]: 5756
% 0.19/0.52  % (25254)Time elapsed: 0.134 s
% 0.19/0.52  % (25254)Instructions burned: 2 (million)
% 0.19/0.52  % (25254)------------------------------
% 0.19/0.52  % (25254)------------------------------
% 0.19/0.52  % (25233)First to succeed.
% 0.19/0.52  % (25251)Also succeeded, but the first one will report.
% 0.19/0.52  % (25233)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (25233)------------------------------
% 0.19/0.52  % (25233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25233)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (25233)Memory used [KB]: 6012
% 0.19/0.52  % (25233)Time elapsed: 0.114 s
% 0.19/0.52  % (25233)Instructions burned: 15 (million)
% 0.19/0.52  % (25233)------------------------------
% 0.19/0.52  % (25233)------------------------------
% 0.19/0.52  % (25227)Success in time 0.175 s
%------------------------------------------------------------------------------