TSTP Solution File: ROB009-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ROB009-1 : 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 : n017.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 18:16:09 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,plain,
    $false,
    inference(subsumption_resolution,[],[f29,f5]) ).

fof(f5,axiom,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).

fof(f29,plain,
    a = b,
    inference(forward_demodulation,[],[f28,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).

fof(f28,plain,
    b = negate(add(negate(add(a,add(b,c))),negate(add(a,negate(add(b,c)))))),
    inference(forward_demodulation,[],[f27,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).

fof(f27,plain,
    b = negate(add(negate(add(a,add(c,b))),negate(add(a,negate(add(b,c)))))),
    inference(forward_demodulation,[],[f24,f11]) ).

fof(f11,plain,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).

fof(f24,plain,
    b = negate(add(negate(add(b,add(a,c))),negate(add(a,negate(add(b,c)))))),
    inference(superposition,[],[f3,f4]) ).

fof(f4,axiom,
    negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ROB009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % 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 : n017.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 11:42:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (24993)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 (2999ds/37Mi)
% 0.20/0.49  % (25006)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 (2999ds/75Mi)
% 0.20/0.49  % (24993)First to succeed.
% 0.20/0.49  % (24993)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (24993)------------------------------
% 0.20/0.49  % (24993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (24993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (24993)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (24993)Memory used [KB]: 895
% 0.20/0.49  % (24993)Time elapsed: 0.096 s
% 0.20/0.49  % (24993)Instructions burned: 2 (million)
% 0.20/0.49  % (24993)------------------------------
% 0.20/0.49  % (24993)------------------------------
% 0.20/0.49  % (24989)Success in time 0.145 s
%------------------------------------------------------------------------------