TSTP Solution File: LCL027-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL027-1 : 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 : n021.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 17:46:37 EDT 2022

% Result   : Unsatisfiable 1.25s 0.51s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f236,plain,
    $false,
    inference(resolution,[],[f160,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(falsehood,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_4) ).

fof(f160,plain,
    ! [X0] : is_a_theorem(implies(falsehood,X0)),
    inference(resolution,[],[f82,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).

fof(f82,plain,
    ! [X10,X11] :
      ( ~ is_a_theorem(implies(X10,implies(implies(X11,falsehood),falsehood)))
      | is_a_theorem(implies(X10,X11)) ),
    inference(resolution,[],[f22,f1]) ).

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

fof(f22,plain,
    ! [X6,X7] : is_a_theorem(implies(implies(X6,implies(implies(X7,falsehood),falsehood)),implies(X6,X7))),
    inference(resolution,[],[f15,f3]) ).

fof(f3,axiom,
    ! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_5) ).

fof(f15,plain,
    ! [X2,X3,X4] :
      ( ~ is_a_theorem(implies(X3,X4))
      | is_a_theorem(implies(implies(X2,X3),implies(X2,X4))) ),
    inference(resolution,[],[f8,f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f2]) ).

fof(f8,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,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',c0_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL027-1 : 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
% 0.13/0.34  % Computer : n021.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 01:26:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (14918)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)
% 0.20/0.49  % (14919)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.49  % (14910)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)
% 0.20/0.49  % (14909)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)
% 0.20/0.50  % (14909)Refutation not found, incomplete strategy% (14909)------------------------------
% 0.20/0.50  % (14909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (14909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (14909)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (14909)Memory used [KB]: 5373
% 0.20/0.50  % (14909)Time elapsed: 0.095 s
% 0.20/0.50  % (14909)Instructions burned: 2 (million)
% 0.20/0.50  % (14909)------------------------------
% 0.20/0.50  % (14909)------------------------------
% 0.20/0.50  % (14910)First to succeed.
% 0.20/0.50  % (14908)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)
% 0.20/0.50  % (14912)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)
% 0.20/0.50  % (14936)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)
% 0.20/0.50  % (14934)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.51  % (14925)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)
% 1.25/0.51  % (14923)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)
% 1.25/0.51  TRYING [1]
% 1.25/0.51  TRYING [2]
% 1.25/0.51  TRYING [3]
% 1.25/0.51  % (14913)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.25/0.51  % (14932)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)
% 1.25/0.51  % (14930)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.25/0.51  TRYING [4]
% 1.25/0.51  % (14914)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)
% 1.25/0.51  % (14934)Also succeeded, but the first one will report.
% 1.25/0.51  % (14910)Refutation found. Thanks to Tanya!
% 1.25/0.51  % SZS status Unsatisfiable for theBenchmark
% 1.25/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.51  % (14910)------------------------------
% 1.25/0.51  % (14910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.51  % (14910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.51  % (14910)Termination reason: Refutation
% 1.25/0.51  
% 1.25/0.51  % (14910)Memory used [KB]: 1151
% 1.25/0.51  % (14910)Time elapsed: 0.100 s
% 1.25/0.51  % (14910)Instructions burned: 12 (million)
% 1.25/0.51  % (14910)------------------------------
% 1.25/0.51  % (14910)------------------------------
% 1.25/0.51  % (14905)Success in time 0.163 s
%------------------------------------------------------------------------------