TSTP Solution File: KLE040+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KLE040+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n013.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 17:28:55 EDT 2022

% Result   : Theorem 1.72s 0.59s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   66 (  43 unt;   0 def)
%            Number of atoms       :   89 (  37 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   47 (  24   ~;  18   |;   0   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   70 (  69   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1191,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1102,f1114,f1190]) ).

fof(f1190,plain,
    ~ spl3_14,
    inference(avatar_contradiction_clause,[],[f1189]) ).

fof(f1189,plain,
    ( $false
    | ~ spl3_14 ),
    inference(trivial_inequality_removal,[],[f1176]) ).

fof(f1176,plain,
    ( sF1 != sF1
    | ~ spl3_14 ),
    inference(superposition,[],[f50,f1146]) ).

fof(f1146,plain,
    ( sF2 = sF1
    | ~ spl3_14 ),
    inference(superposition,[],[f1126,f1028]) ).

fof(f1028,plain,
    addition(sF1,sF2) = sF2,
    inference(resolution,[],[f1026,f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | addition(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).

fof(f1026,plain,
    leq(sF1,sF2),
    inference(superposition,[],[f1014,f49]) ).

fof(f49,plain,
    multiplication(sF1,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f1014,plain,
    ! [X32] : leq(X32,multiplication(X32,sF1)),
    inference(forward_demodulation,[],[f1001,f39]) ).

fof(f39,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f1001,plain,
    ! [X32] : leq(multiplication(X32,one),multiplication(X32,sF1)),
    inference(superposition,[],[f643,f284]) ).

fof(f284,plain,
    sF1 = addition(one,addition(sF1,multiplication(sK0,sF1))),
    inference(forward_demodulation,[],[f260,f36]) ).

fof(f36,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X1,X0] : addition(X0,X1) = addition(X1,X0),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f260,plain,
    addition(one,addition(multiplication(sK0,sF1),sF1)) = sF1,
    inference(superposition,[],[f105,f37]) ).

fof(f37,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X1,X2,X0] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).

fof(f105,plain,
    sF1 = addition(addition(one,multiplication(sK0,sF1)),sF1),
    inference(resolution,[],[f79,f34]) ).

fof(f79,plain,
    leq(addition(one,multiplication(sK0,sF1)),sF1),
    inference(superposition,[],[f42,f48]) ).

fof(f48,plain,
    star(sK0) = sF1,
    introduced(function_definition,[]) ).

fof(f42,plain,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).

fof(f643,plain,
    ! [X26,X24,X25] : leq(multiplication(X24,X25),multiplication(X24,addition(X25,X26))),
    inference(superposition,[],[f162,f30]) ).

fof(f30,plain,
    ! [X2,X0,X1] : addition(multiplication(X1,X0),multiplication(X1,X2)) = multiplication(X1,addition(X0,X2)),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X2,X0,X1] : addition(multiplication(X1,X0),multiplication(X1,X2)) = multiplication(X1,addition(X0,X2)),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).

fof(f162,plain,
    ! [X6,X5] : leq(X5,addition(X5,X6)),
    inference(trivial_inequality_removal,[],[f160]) ).

fof(f160,plain,
    ! [X6,X5] :
      ( addition(X5,X6) != addition(X5,X6)
      | leq(X5,addition(X5,X6)) ),
    inference(superposition,[],[f33,f120]) ).

fof(f120,plain,
    ! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
    inference(superposition,[],[f37,f40]) ).

fof(f40,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f33,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f1126,plain,
    ( addition(sF1,sF2) = sF1
    | ~ spl3_14 ),
    inference(superposition,[],[f36,f1115]) ).

fof(f1115,plain,
    ( addition(sF2,sF1) = sF1
    | ~ spl3_14 ),
    inference(resolution,[],[f1101,f34]) ).

fof(f1101,plain,
    ( leq(sF2,sF1)
    | ~ spl3_14 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f1099,plain,
    ( spl3_14
  <=> leq(sF2,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).

fof(f50,plain,
    sF2 != sF1,
    inference(definition_folding,[],[f45,f48,f49,f48,f48]) ).

fof(f45,plain,
    multiplication(star(sK0),star(sK0)) != star(sK0),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ? [X0] : star(X0) != multiplication(star(X0),star(X0)),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ~ ! [X0] : star(X0) = multiplication(star(X0),star(X0)),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X3] : star(X3) = multiplication(star(X3),star(X3)),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X3] : star(X3) = multiplication(star(X3),star(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f1114,plain,
    spl3_13,
    inference(avatar_contradiction_clause,[],[f1113]) ).

fof(f1113,plain,
    ( $false
    | spl3_13 ),
    inference(resolution,[],[f1097,f59]) ).

fof(f59,plain,
    ! [X1] : leq(X1,X1),
    inference(trivial_inequality_removal,[],[f56]) ).

fof(f56,plain,
    ! [X1] :
      ( leq(X1,X1)
      | X1 != X1 ),
    inference(superposition,[],[f33,f40]) ).

fof(f1097,plain,
    ( ~ leq(sF1,sF1)
    | spl3_13 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f1095,plain,
    ( spl3_13
  <=> leq(sF1,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).

fof(f1102,plain,
    ( ~ spl3_13
    | spl3_14 ),
    inference(avatar_split_clause,[],[f1093,f1099,f1095]) ).

fof(f1093,plain,
    ( leq(sF2,sF1)
    | ~ leq(sF1,sF1) ),
    inference(forward_demodulation,[],[f1092,f49]) ).

fof(f1092,plain,
    ( ~ leq(sF1,sF1)
    | leq(multiplication(sF1,sF1),sF1) ),
    inference(forward_demodulation,[],[f1081,f48]) ).

fof(f1081,plain,
    ( leq(multiplication(star(sK0),sF1),sF1)
    | ~ leq(sF1,sF1) ),
    inference(superposition,[],[f32,f517]) ).

fof(f517,plain,
    addition(multiplication(sK0,sF1),sF1) = sF1,
    inference(resolution,[],[f493,f34]) ).

fof(f493,plain,
    leq(multiplication(sK0,sF1),sF1),
    inference(superposition,[],[f181,f262]) ).

fof(f262,plain,
    addition(sF1,addition(one,multiplication(sK0,sF1))) = sF1,
    inference(superposition,[],[f105,f36]) ).

fof(f181,plain,
    ! [X10,X8,X9] : leq(X10,addition(X8,addition(X9,X10))),
    inference(superposition,[],[f169,f37]) ).

fof(f169,plain,
    ! [X3,X4] : leq(X3,addition(X4,X3)),
    inference(superposition,[],[f162,f36]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ leq(addition(multiplication(X2,X1),X0),X1)
      | leq(multiplication(star(X2),X0),X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( leq(multiplication(star(X2),X0),X1)
      | ~ leq(addition(multiplication(X2,X1),X0),X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X2,X1] :
      ( leq(addition(multiplication(X2,X1),X0),X1)
     => leq(multiplication(star(X2),X0),X1) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X2,X1,X0] :
      ( leq(addition(multiplication(X0,X1),X2),X1)
     => leq(multiplication(star(X0),X2),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_left) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KLE040+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.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 00:19:47 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (12514)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (12533)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)
% 0.19/0.51  % (12527)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  % (12522)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (12524)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  % (12510)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (12534)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)
% 0.19/0.52  TRYING [3]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (12535)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (12523)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (12513)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)
% 0.19/0.53  % (12537)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)
% 0.19/0.53  % (12511)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)
% 0.19/0.53  % (12512)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)
% 0.19/0.53  % (12536)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  % (12515)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)
% 0.19/0.53  % (12518)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (12528)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (12526)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)
% 0.19/0.54  % (12532)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (12516)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)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (12530)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)
% 0.19/0.54  % (12519)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)
% 0.19/0.54  % (12517)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (12520)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  TRYING [4]
% 0.19/0.54  % (12540)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)
% 0.19/0.54  % (12518)Instruction limit reached!
% 0.19/0.54  % (12518)------------------------------
% 0.19/0.54  % (12518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  TRYING [4]
% 0.19/0.55  % (12539)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (12517)Instruction limit reached!
% 0.19/0.55  % (12517)------------------------------
% 0.19/0.55  % (12517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (12518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (12518)Termination reason: Unknown
% 0.19/0.55  % (12518)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (12518)Memory used [KB]: 5373
% 0.19/0.55  % (12518)Time elapsed: 0.136 s
% 0.19/0.55  % (12518)Instructions burned: 3 (million)
% 0.19/0.55  % (12518)------------------------------
% 0.19/0.55  % (12518)------------------------------
% 0.19/0.55  % (12538)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)
% 0.19/0.55  % (12525)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)
% 0.19/0.55  % (12517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (12517)Termination reason: Unknown
% 0.19/0.55  % (12517)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (12517)Memory used [KB]: 5500
% 0.19/0.55  % (12517)Time elapsed: 0.141 s
% 0.19/0.55  % (12517)Instructions burned: 7 (million)
% 0.19/0.55  % (12517)------------------------------
% 0.19/0.55  % (12517)------------------------------
% 0.19/0.55  % (12521)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)
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.56  % (12529)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)
% 0.19/0.57  % (12514)Instruction limit reached!
% 0.19/0.57  % (12514)------------------------------
% 0.19/0.57  % (12514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58  TRYING [4]
% 1.72/0.58  % (12513)First to succeed.
% 1.72/0.59  % (12527)Instruction limit reached!
% 1.72/0.59  % (12527)------------------------------
% 1.72/0.59  % (12527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59  % (12527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59  % (12527)Termination reason: Unknown
% 1.72/0.59  % (12527)Termination phase: Finite model building SAT solving
% 1.72/0.59  
% 1.72/0.59  % (12527)Memory used [KB]: 8699
% 1.72/0.59  % (12527)Time elapsed: 0.105 s
% 1.72/0.59  % (12527)Instructions burned: 59 (million)
% 1.72/0.59  % (12527)------------------------------
% 1.72/0.59  % (12527)------------------------------
% 1.72/0.59  % (12512)Instruction limit reached!
% 1.72/0.59  % (12512)------------------------------
% 1.72/0.59  % (12512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59  % (12513)Refutation found. Thanks to Tanya!
% 1.72/0.59  % SZS status Theorem for theBenchmark
% 1.72/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.59  % (12513)------------------------------
% 1.72/0.59  % (12513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59  % (12513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59  % (12513)Termination reason: Refutation
% 1.72/0.59  
% 1.72/0.59  % (12513)Memory used [KB]: 6012
% 1.72/0.59  % (12513)Time elapsed: 0.168 s
% 1.72/0.59  % (12513)Instructions burned: 32 (million)
% 1.72/0.59  % (12513)------------------------------
% 1.72/0.59  % (12513)------------------------------
% 1.72/0.59  % (12508)Success in time 0.236 s
%------------------------------------------------------------------------------