%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM847+1 : 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_uns --cores 0 -t %d %s

% Computer : n007.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 18:02:34 EDT 2022

% Result   : Theorem 1.30s 0.53s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  10 unt;   0 def)
%            Number of atoms       :   12 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   4   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f304,plain,
    $false,
    inference(subsumption_resolution,[],[f296,f284]) ).

fof(f284,plain,
    ! [X2,X0,X1] : sQ4_eqProxy(vplus(vplus(X0,X1),X2),vplus(X0,vplus(X1,X2))),
    inference(equality_proxy_replacement,[],[f209,f266]) ).

fof(f266,plain,
    ! [X0,X1] :
      ( sQ4_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).

fof(f209,plain,
    ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(rectify,[],[f51]) ).

fof(f51,axiom,
    ! [X75,X76,X77] : vplus(vplus(X75,X76),X77) = vplus(X75,vplus(X76,X77)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof(f296,plain,
    ~ sQ4_eqProxy(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436))),
    inference(equality_proxy_replacement,[],[f230,f266]) ).

fof(f230,plain,
    vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,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)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM847+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.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 08:47:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (23475)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (23480)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (23477)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52  % (23475)Instruction limit reached!
% 0.20/0.52  % (23475)------------------------------
% 0.20/0.52  % (23475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (23475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (23475)Termination reason: Unknown
% 0.20/0.52  % (23475)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (23475)Memory used [KB]: 1535
% 0.20/0.52  % (23475)Time elapsed: 0.004 s
% 0.20/0.52  % (23475)Instructions burned: 4 (million)
% 0.20/0.52  % (23475)------------------------------
% 0.20/0.52  % (23475)------------------------------
% 0.20/0.52  % (23483)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52  % (23497)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (23495)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52  % (23494)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (23474)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52  % (23483)First to succeed.
% 0.20/0.52  % (23481)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.30/0.53  % (23486)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.53  % (23473)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.30/0.53  % (23483)Refutation found. Thanks to Tanya!
% 1.30/0.53  % SZS status Theorem for theBenchmark
% 1.30/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.53  % (23483)------------------------------
% 1.30/0.53  % (23483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (23483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (23483)Termination reason: Refutation
% 1.30/0.53  
% 1.30/0.53  % (23483)Memory used [KB]: 6012
% 1.30/0.53  % (23483)Time elapsed: 0.006 s
% 1.30/0.53  % (23483)Instructions burned: 5 (million)
% 1.30/0.53  % (23483)------------------------------
% 1.30/0.53  % (23483)------------------------------
% 1.30/0.53  % (23472)Success in time 0.18 s
%------------------------------------------------------------------------------