TSTP Solution File: ROB011-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ROB011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Sun May  5 08:58:35 EDT 2024

% Result   : Unsatisfiable 0.21s 0.39s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   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    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f273,plain,
    $false,
    inference(subsumption_resolution,[],[f272,f83]) ).

fof(f83,plain,
    c != negate(add(a,negate(add(a,add(b,c))))),
    inference(forward_demodulation,[],[f69,f1]) ).

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

fof(f69,plain,
    c != negate(add(a,negate(add(a,add(c,b))))),
    inference(superposition,[],[f10,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
    inference(superposition,[],[f2,f1]) ).

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(f10,plain,
    c != negate(add(a,negate(add(b,add(a,c))))),
    inference(forward_demodulation,[],[f9,f4]) ).

fof(f4,axiom,
    ! [X0] : multiply(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_times_x) ).

fof(f9,axiom,
    c != negate(add(a,negate(add(b,multiply(one,add(a,c)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_base_step) ).

fof(f272,plain,
    c = negate(add(a,negate(add(a,add(b,c))))),
    inference(forward_demodulation,[],[f271,f14]) ).

fof(f271,plain,
    c = negate(add(a,negate(add(b,add(c,a))))),
    inference(forward_demodulation,[],[f270,f14]) ).

fof(f270,plain,
    c = negate(add(a,negate(add(c,add(a,b))))),
    inference(forward_demodulation,[],[f267,f1]) ).

fof(f267,plain,
    c = negate(add(negate(add(c,add(a,b))),a)),
    inference(superposition,[],[f3,f263]) ).

fof(f263,plain,
    a = negate(add(c,negate(add(a,b)))),
    inference(forward_demodulation,[],[f255,f1]) ).

fof(f255,plain,
    a = negate(add(negate(add(a,b)),c)),
    inference(superposition,[],[f3,f8]) ).

fof(f8,axiom,
    negate(add(a,negate(b))) = c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).

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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ROB011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:05:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (8478)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (8481)WARNING: value z3 for option sas not known
% 0.21/0.37  % (8480)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37  % (8479)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37  % (8482)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37  % (8481)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (8483)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.37  % (8484)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.37  % (8485)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.37  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [3]
% 0.21/0.39  TRYING [4]
% 0.21/0.39  % (8481)First to succeed.
% 0.21/0.39  % (8481)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8478"
% 0.21/0.39  % (8481)Refutation found. Thanks to Tanya!
% 0.21/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39  % (8481)------------------------------
% 0.21/0.39  % (8481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39  % (8481)Termination reason: Refutation
% 0.21/0.39  
% 0.21/0.39  % (8481)Memory used [KB]: 902
% 0.21/0.39  % (8481)Time elapsed: 0.016 s
% 0.21/0.39  % (8481)Instructions burned: 26 (million)
% 0.21/0.39  % (8478)Success in time 0.032 s
%------------------------------------------------------------------------------