%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT001-3 : 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 : n004.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 15:51:12 EDT 2022

% Result   : Unsatisfiable 1.85s 0.64s
% Output   : Refutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f500,plain,
    $false,
    inference(trivial_inequality_removal,[],[f481]) ).

fof(f481,plain,
    h != h,
    inference(backward_demodulation,[],[f22,f480]) ).

fof(f480,plain,
    h = g,
    inference(equality_resolution,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( compose(a,compose(b,h)) != compose(a,compose(b,X0))
      | g = X0 ),
    inference(superposition,[],[f28,f21]) ).

fof(f21,axiom,
    compose(b,h) = compose(b,g),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bh_equals_bg) ).

fof(f28,plain,
    ! [X2,X0] :
      ( compose(a,compose(b,X2)) != compose(a,compose(b,X0))
      | X0 = X2 ),
    inference(forward_demodulation,[],[f27,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).

fof(f27,plain,
    ! [X2,X0] :
      ( compose(compose(a,b),X2) != compose(a,compose(b,X0))
      | X0 = X2 ),
    inference(backward_demodulation,[],[f24,f9]) ).

fof(f24,plain,
    ! [X2,X0] :
      ( X0 = X2
      | compose(compose(a,b),X0) != compose(compose(a,b),X2) ),
    inference(equality_resolution,[],[f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( X0 = X2
      | compose(compose(a,b),X0) != X1
      | compose(compose(a,b),X2) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monomorphism) ).

fof(f22,axiom,
    h != g,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : CAT001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 16:11:35 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.58  % (17107)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.59  % (17099)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 (2999ds/176Mi)
% 0.21/0.59  % (17088)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 (2999ds/51Mi)
% 0.21/0.59  % (17100)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.59  % (17090)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.60  % (17108)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 (2999ds/355Mi)
% 0.21/0.62  % (17083)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.85/0.62  % (17079)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.85/0.62  TRYING [1]
% 1.85/0.62  % (17082)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.85/0.62  % (17084)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 (2999ds/48Mi)
% 1.85/0.62  % (17085)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.85/0.62  TRYING [1]
% 1.85/0.63  TRYING [2]
% 1.85/0.63  % (17080)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)
% 1.85/0.63  TRYING [3]
% 1.85/0.63  % (17102)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)
% 1.85/0.63  % (17097)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.85/0.63  % (17094)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)
% 1.85/0.64  % (17087)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.85/0.64  % (17108)First to succeed.
% 1.85/0.64  % (17101)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 (2999ds/498Mi)
% 1.85/0.64  % (17102)Also succeeded, but the first one will report.
% 1.85/0.64  % (17108)Refutation found. Thanks to Tanya!
% 1.85/0.64  % SZS status Unsatisfiable for theBenchmark
% 1.85/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.64  % (17108)------------------------------
% 1.85/0.64  % (17108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64  % (17108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.64  % (17108)Termination reason: Refutation
% 1.85/0.64  
% 1.85/0.64  % (17108)Memory used [KB]: 5756
% 1.85/0.64  % (17108)Time elapsed: 0.178 s
% 1.85/0.64  % (17108)Instructions burned: 20 (million)
% 1.85/0.64  % (17108)------------------------------
% 1.85/0.64  % (17108)------------------------------
% 1.85/0.64  % (17078)Success in time 0.28 s
%------------------------------------------------------------------------------