TSTP Solution File: DAT094_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT094_1 : TPTP v8.1.0. Released v6.1.0.
% 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 : n009.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 16:04:52 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   56 (  20 unt;  16 typ;   0 def)
%            Number of atoms       :   70 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   57 (  27   ~;  24   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number arithmetic     :  234 (  57 atm;  35 fun;  97 num;  45 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :   25 (  14   >;  11   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   87 (  87   !;   0   ?;  87   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    list: $tType ).

tff(func_def_0,type,
    nil: list ).

tff(func_def_1,type,
    cons: ( $int * list ) > list ).

tff(func_def_2,type,
    head: list > $int ).

tff(func_def_3,type,
    tail: list > list ).

tff(func_def_5,type,
    length: list > $int ).

tff(func_def_8,type,
    count: ( $int * list ) > $int ).

tff(func_def_9,type,
    append: ( list * list ) > list ).

tff(func_def_12,type,
    sK0: ( $int * list ) > $int ).

tff(func_def_13,type,
    sK1: ( $int * list ) > list ).

tff(func_def_14,type,
    sK2: ( $int * list ) > list ).

tff(func_def_15,type,
    sK3: ( $int * list ) > $int ).

tff(func_def_16,type,
    sK4: ( $int * list ) > list ).

tff(func_def_17,type,
    sK5: ( $int * list ) > $int ).

tff(pred_def_1,type,
    in: ( $int * list ) > $o ).

tff(pred_def_2,type,
    inRange: ( $int * list ) > $o ).

tff(f199,plain,
    $false,
    inference(evaluation,[],[f198]) ).

tff(f198,plain,
    $less(4,$sum(4,0)),
    inference(forward_demodulation,[],[f197,f88]) ).

tff(f88,plain,
    0 = length(nil),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,axiom,
    0 = length(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).

tff(f197,plain,
    $less(4,$sum(4,length(nil))),
    inference(evaluation,[],[f196]) ).

tff(f196,plain,
    $less(4,$sum(3,$sum(1,length(nil)))),
    inference(forward_demodulation,[],[f195,f73]) ).

tff(f73,plain,
    ! [X0: list,X1: $int] : ( $sum(1,length(X0)) = length(cons(X1,X0)) ),
    inference(cnf_transformation,[],[f36]) ).

tff(f36,plain,
    ! [X0: list,X1: $int] : ( $sum(1,length(X0)) = length(cons(X1,X0)) ),
    inference(rectify,[],[f8]) ).

tff(f8,axiom,
    ! [X4: list,X3: $int] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_1) ).

tff(f195,plain,
    ! [X1: $int] : $less(4,$sum(3,length(cons(X1,nil)))),
    inference(evaluation,[],[f194]) ).

tff(f194,plain,
    ! [X1: $int] : $less(4,$sum(2,$sum(1,length(cons(X1,nil))))),
    inference(forward_demodulation,[],[f193,f73]) ).

tff(f193,plain,
    ! [X0: $int,X1: $int] : $less(4,$sum(2,length(cons(X0,cons(X1,nil))))),
    inference(forward_demodulation,[],[f192,f75]) ).

tff(f75,plain,
    ! [X0: list] : ( append(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f38]) ).

tff(f38,plain,
    ! [X0: list] : ( append(nil,X0) = X0 ),
    inference(rectify,[],[f12]) ).

tff(f12,axiom,
    ! [X1: list] : ( append(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_6) ).

tff(f192,plain,
    ! [X0: $int,X1: $int] : $less(4,$sum(2,length(append(nil,cons(X0,cons(X1,nil)))))),
    inference(evaluation,[],[f189]) ).

tff(f189,plain,
    ! [X0: $int,X1: $int] :
      ( $less(4,$sum(2,length(append(nil,cons(X0,cons(X1,nil))))))
      | ~ $less(1,$sum(2,0)) ),
    inference(superposition,[],[f162,f88]) ).

tff(f162,plain,
    ! [X3: list,X4: $int,X5: $int] :
      ( ~ $less(1,$sum(2,length(X3)))
      | $less(4,$sum(2,length(append(X3,cons(X4,cons(X5,nil)))))) ),
    inference(evaluation,[],[f161]) ).

tff(f161,plain,
    ! [X3: list,X4: $int,X5: $int] :
      ( $less(4,$sum(1,$sum(1,length(append(X3,cons(X4,cons(X5,nil)))))))
      | ~ $less(1,$sum(2,length(X3))) ),
    inference(forward_demodulation,[],[f160,f73]) ).

tff(f160,plain,
    ! [X2: $int,X3: list,X4: $int,X5: $int] :
      ( ~ $less(1,$sum(2,length(X3)))
      | $less(4,$sum(1,length(cons(X2,append(X3,cons(X4,cons(X5,nil))))))) ),
    inference(forward_demodulation,[],[f159,f89]) ).

tff(f89,plain,
    ! [X2: list,X0: $int,X1: list] : ( cons(X0,append(X2,X1)) = append(cons(X0,X2),X1) ),
    inference(cnf_transformation,[],[f63]) ).

tff(f63,plain,
    ! [X0: $int,X1: list,X2: list] : ( cons(X0,append(X2,X1)) = append(cons(X0,X2),X1) ),
    inference(rectify,[],[f34]) ).

tff(f34,plain,
    ! [X1: $int,X0: list,X2: list] : ( cons(X1,append(X2,X0)) = append(cons(X1,X2),X0) ),
    inference(rectify,[],[f13]) ).

tff(f13,axiom,
    ! [X1: list,X6: $int,X0: list] : ( append(cons(X6,X0),X1) = cons(X6,append(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_7) ).

tff(f159,plain,
    ! [X2: $int,X3: list,X4: $int,X5: $int] :
      ( ~ $less(1,$sum(2,length(X3)))
      | $less(4,$sum(1,length(append(cons(X2,X3),cons(X4,cons(X5,nil)))))) ),
    inference(evaluation,[],[f158]) ).

tff(f158,plain,
    ! [X2: $int,X3: list,X4: $int,X5: $int] :
      ( $less(4,$sum(1,length(append(cons(X2,X3),cons(X4,cons(X5,nil))))))
      | ~ $less(1,$sum(1,$sum(1,length(X3)))) ),
    inference(superposition,[],[f148,f73]) ).

tff(f148,plain,
    ! [X3: list,X4: $int,X5: $int] :
      ( ~ $less(1,$sum(1,length(X3)))
      | $less(4,$sum(1,length(append(X3,cons(X4,cons(X5,nil)))))) ),
    inference(forward_demodulation,[],[f147,f73]) ).

tff(f147,plain,
    ! [X2: $int,X3: list,X4: $int,X5: $int] :
      ( $less(4,length(cons(X2,append(X3,cons(X4,cons(X5,nil))))))
      | ~ $less(1,$sum(1,length(X3))) ),
    inference(forward_demodulation,[],[f146,f89]) ).

tff(f146,plain,
    ! [X2: $int,X3: list,X4: $int,X5: $int] :
      ( $less(4,length(append(cons(X2,X3),cons(X4,cons(X5,nil)))))
      | ~ $less(1,$sum(1,length(X3))) ),
    inference(superposition,[],[f142,f73]) ).

tff(f142,plain,
    ! [X2: $int,X0: list,X1: $int] :
      ( ~ $less(1,length(X0))
      | $less(4,length(append(X0,cons(X1,cons(X2,nil))))) ),
    inference(evaluation,[],[f139]) ).

tff(f139,plain,
    ! [X2: $int,X0: list,X1: $int] :
      ( ~ $less(1,$sum(2,0))
      | ~ $less(1,length(X0))
      | $less(4,length(append(X0,cons(X1,cons(X2,nil))))) ),
    inference(superposition,[],[f136,f88]) ).

tff(f136,plain,
    ! [X2: $int,X3: list,X4: list,X5: $int] :
      ( ~ $less(1,$sum(2,length(X3)))
      | ~ $less(1,length(X4))
      | $less(4,length(append(X4,cons(X5,cons(X2,X3))))) ),
    inference(evaluation,[],[f135]) ).

tff(f135,plain,
    ! [X2: $int,X3: list,X4: list,X5: $int] :
      ( ~ $less(1,length(X4))
      | ~ $less(1,$sum(1,$sum(1,length(X3))))
      | $less(4,length(append(X4,cons(X5,cons(X2,X3))))) ),
    inference(superposition,[],[f125,f73]) ).

tff(f125,plain,
    ! [X2: list,X0: $int,X1: list] :
      ( ~ $less(1,$sum(1,length(X1)))
      | ~ $less(1,length(X2))
      | $less(4,length(append(X2,cons(X0,X1)))) ),
    inference(superposition,[],[f77,f73]) ).

tff(f77,plain,
    ! [X0: list,X1: list] :
      ( ~ $less(1,length(X1))
      | $less(4,length(append(X0,X1)))
      | ~ $less(1,length(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

tff(f45,plain,
    ! [X0: list,X1: list] :
      ( ~ $less(1,length(X0))
      | $less(4,length(append(X0,X1)))
      | ~ $less(1,length(X1)) ),
    inference(flattening,[],[f44]) ).

tff(f44,plain,
    ! [X1: list,X0: list] :
      ( $less(4,length(append(X0,X1)))
      | ~ $less(1,length(X0))
      | ~ $less(1,length(X1)) ),
    inference(ennf_transformation,[],[f19]) ).

tff(f19,plain,
    ! [X1: list,X0: list] :
      ( ( $less(1,length(X0))
        & $less(1,length(X1)) )
     => $less(4,length(append(X0,X1))) ),
    inference(theory_normalization,[],[f16]) ).

tff(f16,negated_conjecture,
    ~ ~ ! [X0: list,X1: list] :
          ( ( $greater(length(X0),1)
            & $greater(length(X1),1) )
         => $greater(length(append(X0,X1)),4) ),
    inference(negated_conjecture,[],[f15]) ).

tff(f15,conjecture,
    ~ ! [X0: list,X1: list] :
        ( ( $greater(length(X0),1)
          & $greater(length(X1),1) )
       => $greater(length(append(X0,X1)),4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : DAT094=1 : TPTP v8.1.0. Released v6.1.0.
% 0.06/0.13  % 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 : n009.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   : Mon Aug 29 20:18:50 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (10953)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)
% 0.20/0.51  % (10968)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)
% 0.20/0.51  % (10962)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)
% 0.20/0.51  % (10950)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)
% 0.20/0.51  % (10959)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (10977)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (10953)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52  % (10953)Terminated due to inappropriate strategy.
% 0.20/0.52  % (10953)------------------------------
% 0.20/0.52  % (10953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (10953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (10953)Termination reason: Inappropriate
% 0.20/0.52  
% 0.20/0.52  % (10953)Memory used [KB]: 895
% 0.20/0.52  % (10953)Time elapsed: 0.003 s
% 0.20/0.52  % (10953)Instructions burned: 3 (million)
% 0.20/0.52  % (10953)------------------------------
% 0.20/0.52  % (10953)------------------------------
% 0.20/0.52  % (10955)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (10955)Instruction limit reached!
% 0.20/0.52  % (10955)------------------------------
% 0.20/0.52  % (10955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (10955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (10955)Termination reason: Unknown
% 0.20/0.52  % (10955)Termination phase: Including theory axioms
% 0.20/0.52  
% 0.20/0.52  % (10955)Memory used [KB]: 895
% 0.20/0.52  % (10955)Time elapsed: 0.002 s
% 0.20/0.52  % (10955)Instructions burned: 2 (million)
% 0.20/0.52  % (10955)------------------------------
% 0.20/0.52  % (10955)------------------------------
% 0.20/0.52  % (10954)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (10951)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (10970)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)
% 0.20/0.52  % (10952)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)
% 0.20/0.52  % (10958)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)
% 0.20/0.52  % (10967)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 (2999ds/100Mi)
% 0.20/0.52  % (10961)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (10971)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)
% 0.20/0.53  % (10948)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)
% 0.20/0.53  % (10947)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)
% 0.20/0.53  % (10957)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (10947)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53  % (10947)Terminated due to inappropriate strategy.
% 0.20/0.53  % (10947)------------------------------
% 0.20/0.53  % (10947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (10947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (10947)Termination reason: Inappropriate
% 0.20/0.53  
% 0.20/0.53  % (10947)Memory used [KB]: 895
% 0.20/0.53  % (10947)Time elapsed: 0.002 s
% 0.20/0.53  % (10947)Instructions burned: 2 (million)
% 0.20/0.53  % (10947)------------------------------
% 0.20/0.53  % (10947)------------------------------
% 0.20/0.53  % (10956)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)
% 0.20/0.53  % (10978)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)
% 0.20/0.54  % (10974)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (10972)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (10969)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (10966)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (10963)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)
% 0.20/0.54  % (10949)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 (2999ds/37Mi)
% 0.20/0.54  % (10954)Instruction limit reached!
% 0.20/0.54  % (10954)------------------------------
% 0.20/0.54  % (10954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (10954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (10954)Termination reason: Unknown
% 0.20/0.54  % (10954)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (10954)Memory used [KB]: 5500
% 0.20/0.54  % (10954)Time elapsed: 0.144 s
% 0.20/0.54  % (10954)Instructions burned: 8 (million)
% 0.20/0.54  % (10954)------------------------------
% 0.20/0.54  % (10954)------------------------------
% 0.20/0.54  % (10964)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (10965)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (10965)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55  % (10965)Terminated due to inappropriate strategy.
% 0.20/0.55  % (10965)------------------------------
% 0.20/0.55  % (10965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (10965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (10965)Termination reason: Inappropriate
% 0.20/0.55  
% 0.20/0.55  % (10965)Memory used [KB]: 895
% 0.20/0.55  % (10965)Time elapsed: 0.006 s
% 0.20/0.55  % (10965)Instructions burned: 3 (million)
% 0.20/0.55  % (10965)------------------------------
% 0.20/0.55  % (10965)------------------------------
% 0.20/0.55  % (10976)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55  % (10967)First to succeed.
% 0.20/0.55  % (10967)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Theorem for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (10967)------------------------------
% 0.20/0.55  % (10967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (10967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (10967)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (10967)Memory used [KB]: 1023
% 0.20/0.55  % (10967)Time elapsed: 0.134 s
% 0.20/0.55  % (10967)Instructions burned: 10 (million)
% 0.20/0.55  % (10967)------------------------------
% 0.20/0.55  % (10967)------------------------------
% 0.20/0.55  % (10943)Success in time 0.203 s
%------------------------------------------------------------------------------