TSTP Solution File: BOO001-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : BOO001-1 : 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 : n028.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 15:49:47 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-3 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(trivial_inequality_removal,[],[f166]) ).

fof(f166,plain,
    a != a,
    inference(superposition,[],[f6,f159]) ).

fof(f159,plain,
    ! [X38] : inverse(inverse(X38)) = X38,
    inference(superposition,[],[f5,f103]) ).

fof(f103,plain,
    ! [X28,X27] : multiply(X28,inverse(X28),X27) = X27,
    inference(superposition,[],[f32,f5]) ).

fof(f32,plain,
    ! [X3,X4,X5] : multiply(X5,X3,X4) = multiply(X3,X4,multiply(X5,X3,X4)),
    inference(superposition,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X2,X3] : multiply(X3,X2,X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ternary_multiply_1) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] : multiply(X0,X1,multiply(X1,X2,X3)) = multiply(X1,X2,multiply(X0,X1,X3)),
    inference(superposition,[],[f1,f2]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f5,axiom,
    ! [X2,X3] : multiply(X2,X3,inverse(X3)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).

fof(f6,axiom,
    a != inverse(inverse(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_self_cancelling) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % 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 : n028.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 16:12:17 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (3339)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.49  % (3339)Instruction limit reached!
% 0.18/0.49  % (3339)------------------------------
% 0.18/0.49  % (3339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (3339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (3339)Termination reason: Unknown
% 0.18/0.49  % (3339)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (3339)Memory used [KB]: 5500
% 0.18/0.49  % (3339)Time elapsed: 0.100 s
% 0.18/0.49  % (3339)Instructions burned: 8 (million)
% 0.18/0.49  % (3339)------------------------------
% 0.18/0.49  % (3339)------------------------------
% 0.18/0.49  % (3333)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)
% 0.18/0.50  % (3334)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)
% 0.18/0.50  % (3348)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)
% 0.18/0.50  % (3347)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)
% 0.18/0.51  % (3344)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.18/0.51  % (3333)First to succeed.
% 0.18/0.51  % (3333)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (3333)------------------------------
% 0.18/0.51  % (3333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (3333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (3333)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (3333)Memory used [KB]: 5628
% 0.18/0.51  % (3333)Time elapsed: 0.113 s
% 0.18/0.51  % (3333)Instructions burned: 14 (million)
% 0.18/0.51  % (3333)------------------------------
% 0.18/0.51  % (3333)------------------------------
% 0.18/0.51  % (3331)Success in time 0.174 s
%------------------------------------------------------------------------------