%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP458-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n026.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 16:22:34 EDT 2022

% Result   : Unsatisfiable 1.24s 0.54s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f75,plain,
    $false,
    inference(subsumption_resolution,[],[f6,f59]) ).

fof(f59,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(backward_demodulation,[],[f39,f41]) ).

fof(f41,plain,
    ! [X0] : divide(X0,identity) = X0,
    inference(backward_demodulation,[],[f13,f39]) ).

fof(f13,plain,
    ! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0,
    inference(superposition,[],[f8,f4]) ).

fof(f4,axiom,
    ! [X0] : divide(X0,X0) = identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

fof(f8,plain,
    ! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
    inference(superposition,[],[f7,f4]) ).

fof(f7,plain,
    ! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
    inference(forward_demodulation,[],[f1,f4]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

fof(f39,plain,
    ! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
    inference(forward_demodulation,[],[f32,f4]) ).

fof(f32,plain,
    ! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
    inference(superposition,[],[f10,f4]) ).

fof(f10,plain,
    ! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5,
    inference(superposition,[],[f7,f4]) ).

fof(f6,plain,
    a2 != divide(identity,divide(identity,a2)),
    inference(definition_unfolding,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f5,axiom,
    a2 != multiply(identity,a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GRP458-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 29 22:43:50 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.51  % (4045)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.21/0.51  % (4043)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.52  % (4060)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.21/0.52  % (4049)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.24/0.53  % (4054)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 (3000ds/68Mi)
% 1.24/0.53  % (4042)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)
% 1.24/0.53  % (4059)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.24/0.53  % (4069)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 1.24/0.53  % (4065)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.24/0.53  % (4062)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 1.24/0.53  % (4044)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.24/0.53  % (4045)First to succeed.
% 1.24/0.53  % (4042)Also succeeded, but the first one will report.
% 1.24/0.54  % (4046)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.24/0.54  % (4047)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.24/0.54  % (4045)Refutation found. Thanks to Tanya!
% 1.24/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.24/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.54  % (4045)------------------------------
% 1.24/0.54  % (4045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.54  % (4045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.54  % (4045)Termination reason: Refutation
% 1.24/0.54  
% 1.24/0.54  % (4045)Memory used [KB]: 5373
% 1.24/0.54  % (4045)Time elapsed: 0.132 s
% 1.24/0.54  % (4045)Instructions burned: 4 (million)
% 1.24/0.54  % (4045)------------------------------
% 1.24/0.54  % (4045)------------------------------
% 1.24/0.54  % (4039)Success in time 0.177 s
%------------------------------------------------------------------------------