TSTP Solution File: GRP557-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n010.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 16:22:51 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f102,plain,
    $false,
    inference(subsumption_resolution,[],[f85,f61]) ).

fof(f61,plain,
    ! [X21,X22] : inverse(divide(X21,X21)) = divide(inverse(X22),inverse(X22)),
    inference(superposition,[],[f15,f26]) ).

fof(f26,plain,
    ! [X8,X7] : divide(inverse(divide(X8,X8)),inverse(X7)) = X7,
    inference(superposition,[],[f15,f11]) ).

fof(f11,plain,
    ! [X0,X1] : divide(X0,inverse(divide(X1,X1))) = X0,
    inference(superposition,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

fof(f5,plain,
    ! [X2,X3,X0,X1] : divide(X3,inverse(divide(X1,divide(X3,inverse(divide(divide(X1,X2),divide(X0,X2))))))) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f15,plain,
    ! [X2,X3] : divide(X2,inverse(divide(X3,X2))) = X3,
    inference(superposition,[],[f5,f11]) ).

fof(f85,plain,
    ! [X0] : divide(inverse(a1),inverse(a1)) != inverse(divide(X0,X0)),
    inference(superposition,[],[f4,f56]) ).

fof(f56,plain,
    ! [X11,X12] : inverse(divide(X11,X11)) = divide(X12,X12),
    inference(superposition,[],[f11,f26]) ).

fof(f4,plain,
    divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.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   : Mon Aug 29 22:25:59 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (30000)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)
% 0.19/0.52  % (29992)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)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (29987)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)
% 0.19/0.54  TRYING [2]
% 0.19/0.54  TRYING [3]
% 0.19/0.55  TRYING [4]
% 0.19/0.55  % (30009)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)
% 0.19/0.55  % (30001)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.19/0.56  % (29987)First to succeed.
% 0.19/0.56  % (29993)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.57  % (30003)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.57  % (29987)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (29987)------------------------------
% 0.19/0.57  % (29987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (29987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (29987)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (29987)Memory used [KB]: 5628
% 0.19/0.57  % (29987)Time elapsed: 0.156 s
% 0.19/0.57  % (29987)Instructions burned: 8 (million)
% 0.19/0.57  % (29987)------------------------------
% 0.19/0.57  % (29987)------------------------------
% 0.19/0.57  % (29985)Success in time 0.233 s
%------------------------------------------------------------------------------