TSTP Solution File: SCT070-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SCT070-1 : 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_sat --cores 0 -t %d %s

% Computer : n024.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 18:17:27 EDT 2022

% Result   : Unsatisfiable 0.17s 0.62s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   25 (   1 unt;   0 def)
%            Number of atoms       :   81 (  18 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   92 (  36   ~;  52   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-4 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f878,plain,
    $false,
    inference(avatar_sat_refutation,[],[f868,f869,f870,f871,f872,f873,f874,f875,f876,f877]) ).

fof(f877,plain,
    ( spl40_2
    | spl40_3 ),
    inference(avatar_split_clause,[],[f666,f861,f857]) ).

fof(f857,plain,
    ( spl40_2
  <=> c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).

fof(f861,plain,
    ( spl40_3
  <=> c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).

fof(f666,axiom,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f876,plain,
    ( spl40_2
    | ~ spl40_1
    | ~ spl40_3
    | spl40_4 ),
    inference(avatar_split_clause,[],[f659,f865,f861,f853,f857]) ).

fof(f853,plain,
    ( spl40_1
  <=> v_b____ = v_a_H____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).

fof(f865,plain,
    ( spl40_4
  <=> v_a____ = v_b_H____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).

fof(f659,axiom,
    ( v_a____ = v_b_H____
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_b____ != v_a_H____
    | c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_01) ).

fof(f875,plain,
    ( spl40_4
    | ~ spl40_3
    | spl40_1
    | spl40_2 ),
    inference(avatar_split_clause,[],[f663,f857,f853,f861,f865]) ).

fof(f663,axiom,
    ( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_b____ = v_a_H____
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_05) ).

fof(f874,plain,
    ( spl40_3
    | ~ spl40_1
    | ~ spl40_4
    | ~ spl40_2 ),
    inference(avatar_split_clause,[],[f658,f857,f865,f853,f861]) ).

fof(f658,axiom,
    ( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ != v_b_H____
    | v_b____ != v_a_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f873,plain,
    ( spl40_2
    | ~ spl40_4
    | ~ spl40_3
    | spl40_1 ),
    inference(avatar_split_clause,[],[f661,f853,f861,f865,f857]) ).

fof(f661,axiom,
    ( v_b____ = v_a_H____
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ != v_b_H____
    | c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_03) ).

fof(f872,plain,
    ( spl40_3
    | ~ spl40_2
    | spl40_4
    | spl40_1 ),
    inference(avatar_split_clause,[],[f664,f853,f865,f857,f861]) ).

fof(f664,axiom,
    ( v_b____ = v_a_H____
    | v_a____ = v_b_H____
    | ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_06) ).

fof(f871,plain,
    ( spl40_1
    | ~ spl40_2
    | ~ spl40_4
    | spl40_3 ),
    inference(avatar_split_clause,[],[f662,f861,f865,f857,f853]) ).

fof(f662,axiom,
    ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ != v_b_H____
    | ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_b____ = v_a_H____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).

fof(f870,plain,
    ( ~ spl40_2
    | ~ spl40_3 ),
    inference(avatar_split_clause,[],[f665,f861,f857]) ).

fof(f665,axiom,
    ( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f869,plain,
    ( ~ spl40_1
    | spl40_3
    | spl40_4
    | ~ spl40_2 ),
    inference(avatar_split_clause,[],[f660,f857,f865,f861,f853]) ).

fof(f660,axiom,
    ( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_a____ = v_b_H____
    | c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_b____ != v_a_H____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

fof(f868,plain,
    ( ~ spl40_1
    | spl40_2
    | ~ spl40_3
    | ~ spl40_4 ),
    inference(avatar_split_clause,[],[f657,f865,f861,f857,f853]) ).

fof(f657,axiom,
    ( v_a____ != v_b_H____
    | ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | v_b____ != v_a_H____ ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SCT070-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 12:32:34 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.17/0.52  % (30917)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)
% 0.17/0.53  % (30903)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)
% 0.17/0.53  % (30905)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)
% 0.17/0.53  % (30906)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)
% 0.17/0.54  % (30908)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)
% 0.17/0.54  % (30904)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)
% 0.17/0.54  % (30924)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.54  % (30932)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)
% 0.17/0.55  % (30927)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.55  % (30916)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.55  % (30909)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)
% 0.17/0.55  % (30907)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.55  % (30913)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.55  % (30922)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)
% 0.17/0.55  % (30918)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)
% 0.17/0.55  % (30911)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.56  % (30919)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)
% 0.17/0.56  % (30926)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)
% 0.17/0.56  % (30920)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.56  % (30914)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)
% 0.17/0.56  % (30911)Instruction limit reached!
% 0.17/0.56  % (30911)------------------------------
% 0.17/0.56  % (30911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56  % (30911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56  % (30911)Termination reason: Unknown
% 0.17/0.56  % (30911)Termination phase: shuffling
% 0.17/0.56  
% 0.17/0.56  % (30911)Memory used [KB]: 1407
% 0.17/0.56  % (30911)Time elapsed: 0.003 s
% 0.17/0.56  % (30911)Instructions burned: 2 (million)
% 0.17/0.56  % (30911)------------------------------
% 0.17/0.56  % (30911)------------------------------
% 0.17/0.56  % (30921)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.57  % (30923)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)
% 0.17/0.58  % (30910)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.58  % (30912)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)
% 0.17/0.58  % (30910)Instruction limit reached!
% 0.17/0.58  % (30910)------------------------------
% 0.17/0.58  % (30910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.58  % (30910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.58  % (30910)Termination reason: Unknown
% 0.17/0.58  % (30910)Termination phase: Property scanning
% 0.17/0.58  
% 0.17/0.58  % (30910)Memory used [KB]: 1535
% 0.17/0.58  % (30910)Time elapsed: 0.008 s
% 0.17/0.58  % (30910)Instructions burned: 8 (million)
% 0.17/0.58  % (30910)------------------------------
% 0.17/0.58  % (30910)------------------------------
% 0.17/0.59  % (30915)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.59  % (30931)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.59  % (30908)First to succeed.
% 0.17/0.59  % (30930)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)
% 0.17/0.59  % (30929)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)
% 0.17/0.60  % (30925)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)
% 0.17/0.61  % (30905)Instruction limit reached!
% 0.17/0.61  % (30905)------------------------------
% 0.17/0.61  % (30905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.61  % (30905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.61  % (30905)Termination reason: Unknown
% 0.17/0.61  % (30905)Termination phase: Saturation
% 0.17/0.61  
% 0.17/0.61  % (30905)Memory used [KB]: 1791
% 0.17/0.61  % (30905)Time elapsed: 0.026 s
% 0.17/0.61  % (30905)Instructions burned: 38 (million)
% 0.17/0.61  % (30905)------------------------------
% 0.17/0.61  % (30905)------------------------------
% 0.17/0.62  % (30928)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.62  % (30917)Also succeeded, but the first one will report.
% 0.17/0.62  % (30908)Refutation found. Thanks to Tanya!
% 0.17/0.62  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.62  % (30908)------------------------------
% 0.17/0.62  % (30908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.62  % (30908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.62  % (30908)Termination reason: Refutation
% 0.17/0.62  
% 0.17/0.62  % (30908)Memory used [KB]: 6140
% 0.17/0.62  % (30908)Time elapsed: 0.019 s
% 0.17/0.62  % (30908)Instructions burned: 27 (million)
% 0.17/0.62  % (30908)------------------------------
% 0.17/0.62  % (30908)------------------------------
% 0.17/0.62  % (30902)Success in time 0.286 s
%------------------------------------------------------------------------------