TSTP Solution File: LCL077-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL077-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n001.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 17:46:47 EDT 2022

% Result   : Unsatisfiable 0.21s 0.61s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  15   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f261,plain,
    $false,
    inference(subsumption_resolution,[],[f11,f175]) ).

fof(f175,plain,
    ! [X5] : is_a_theorem(implies(not(not(X5)),X5)),
    inference(resolution,[],[f65,f34]) ).

fof(f34,plain,
    ! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
    inference(resolution,[],[f25,f16]) ).

fof(f16,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X3,implies(not(X4),not(X5))))
      | is_a_theorem(implies(X3,implies(X5,X4))) ),
    inference(resolution,[],[f8,f7]) ).

fof(f7,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    inference(literal_reordering,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).

fof(f8,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X4,X5))
      | ~ is_a_theorem(implies(X3,X4))
      | is_a_theorem(implies(X3,X5)) ),
    inference(literal_reordering,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X4,X5))
      | ~ is_a_theorem(implies(X3,X4))
      | is_a_theorem(implies(X3,X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

fof(f25,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f16,f9]) ).

fof(f9,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(literal_reordering,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f31,f9]) ).

fof(f31,plain,
    ! [X8,X9,X7] :
      ( ~ is_a_theorem(implies(X7,X8))
      | ~ is_a_theorem(implies(X7,implies(X8,X9)))
      | is_a_theorem(implies(X7,X9)) ),
    inference(resolution,[],[f18,f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(literal_reordering,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f18,plain,
    ! [X6,X4,X5] :
      ( is_a_theorem(implies(implies(X4,X5),implies(X4,X6)))
      | ~ is_a_theorem(implies(X4,implies(X5,X6))) ),
    inference(resolution,[],[f10,f12]) ).

fof(f10,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    inference(literal_reordering,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).

fof(f11,plain,
    ~ is_a_theorem(implies(not(not(a)),a)),
    inference(literal_reordering,[],[f6]) ).

fof(f6,axiom,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL077-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n001.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 01:55:15 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.55  % (18242)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)
% 0.21/0.56  % (18229)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)
% 0.21/0.57  % (18229)Refutation not found, incomplete strategy% (18229)------------------------------
% 0.21/0.57  % (18229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (18229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (18229)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57  
% 0.21/0.57  % (18229)Memory used [KB]: 5373
% 0.21/0.57  % (18229)Time elapsed: 0.142 s
% 0.21/0.57  % (18229)Instructions burned: 1 (million)
% 0.21/0.57  % (18229)------------------------------
% 0.21/0.57  % (18229)------------------------------
% 0.21/0.57  % (18234)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)
% 0.21/0.57  TRYING [1]
% 0.21/0.57  TRYING [2]
% 0.21/0.57  TRYING [3]
% 0.21/0.57  % (18245)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.21/0.58  TRYING [1]
% 0.21/0.58  TRYING [4]
% 0.21/0.58  TRYING [2]
% 0.21/0.58  % (18250)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)
% 0.21/0.58  TRYING [3]
% 0.21/0.58  % (18231)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)
% 0.21/0.58  % (18237)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)
% 0.21/0.59  % (18242)First to succeed.
% 0.21/0.60  % (18251)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)
% 0.21/0.60  TRYING [4]
% 0.21/0.61  % (18228)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)
% 0.21/0.61  TRYING [1]
% 0.21/0.61  TRYING [2]
% 0.21/0.61  % (18232)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.61  % (18242)Refutation found. Thanks to Tanya!
% 0.21/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.61  % (18242)------------------------------
% 0.21/0.61  % (18242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61  % (18242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61  % (18242)Termination reason: Refutation
% 0.21/0.61  
% 0.21/0.61  % (18242)Memory used [KB]: 5884
% 0.21/0.61  % (18242)Time elapsed: 0.021 s
% 0.21/0.61  % (18242)Instructions burned: 26 (million)
% 0.21/0.61  % (18242)------------------------------
% 0.21/0.61  % (18242)------------------------------
% 0.21/0.61  % (18227)Success in time 0.261 s
%------------------------------------------------------------------------------