TSTP Solution File: NUM847+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM847+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : n014.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 18:06:57 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 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    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f258,plain,
    $false,
    inference(subsumption_resolution,[],[f257,f64]) ).

fof(f64,plain,
    sF5 != sF3,
    inference(definition_folding,[],[f40,f63,f62,f59,f58,f61,f60,f59,f58]) ).

fof(f60,plain,
    vplus(sF0,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f61,plain,
    sF3 = vplus(sF2,vd436),
    introduced(function_definition,[]) ).

fof(f58,plain,
    vmul(vd436,vd437) = sF0,
    introduced(function_definition,[]) ).

fof(f59,plain,
    vmul(vd436,vd439) = sF1,
    introduced(function_definition,[]) ).

fof(f62,plain,
    sF4 = vplus(sF1,vd436),
    introduced(function_definition,[]) ).

fof(f63,plain,
    vplus(sF0,sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f40,plain,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 3)') ).

fof(f257,plain,
    sF5 = sF3,
    inference(backward_demodulation,[],[f63,f256]) ).

fof(f256,plain,
    vplus(sF0,sF4) = sF3,
    inference(forward_demodulation,[],[f245,f61]) ).

fof(f245,plain,
    vplus(sF0,sF4) = vplus(sF2,vd436),
    inference(superposition,[],[f208,f62]) ).

fof(f208,plain,
    ! [X33] : vplus(sF0,vplus(sF1,X33)) = vplus(sF2,X33),
    inference(superposition,[],[f45,f60]) ).

fof(f45,plain,
    ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) = vplus(vplus(X2,X0),X1),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] : vplus(X2,vplus(X0,X1)) = vplus(vplus(X2,X0),X1),
    inference(rectify,[],[f23]) ).

fof(f23,plain,
    ! [X1,X2,X0] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X12,X13,X14] : vplus(vplus(X12,X13),X14) = vplus(X12,vplus(X13,X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM847+2 : TPTP v8.1.0. Released v4.1.0.
% 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
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 09:03:18 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  % (1704)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.46  % (1711)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)
% 0.19/0.47  % (1711)First to succeed.
% 0.19/0.48  % (1704)Instruction limit reached!
% 0.19/0.48  % (1704)------------------------------
% 0.19/0.48  % (1704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (1704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (1704)Termination reason: Unknown
% 0.19/0.48  % (1704)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (1704)Memory used [KB]: 5373
% 0.19/0.48  % (1704)Time elapsed: 0.084 s
% 0.19/0.48  % (1704)Instructions burned: 2 (million)
% 0.19/0.48  % (1704)------------------------------
% 0.19/0.48  % (1704)------------------------------
% 0.19/0.48  % (1697)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.48  % (1724)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 (2999ds/68Mi)
% 0.19/0.48  % (1719)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 (2999ds/467Mi)
% 0.19/0.49  % (1711)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (1711)------------------------------
% 0.19/0.49  % (1711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (1711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (1711)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (1711)Memory used [KB]: 1151
% 0.19/0.49  % (1711)Time elapsed: 0.088 s
% 0.19/0.49  % (1711)Instructions burned: 13 (million)
% 0.19/0.49  % (1711)------------------------------
% 0.19/0.49  % (1711)------------------------------
% 0.19/0.49  % (1694)Success in time 0.137 s
%------------------------------------------------------------------------------