TSTP Solution File: KLE128+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE128+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_uns --cores 0 -t %d %s

% Computer : n027.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 17:28:19 EDT 2022

% Result   : Theorem 1.75s 0.58s
% Output   : Refutation 1.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   70 (  61 unt;   0 def)
%            Number of atoms       :   83 (  82 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (   8   ~;   3   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   80 (  78   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f435,plain,
    $false,
    inference(subsumption_resolution,[],[f423,f93]) ).

fof(f93,plain,
    zero != antidomain(antidomain(sK1)),
    inference(definition_unfolding,[],[f83,f69]) ).

fof(f69,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).

fof(f83,plain,
    zero != domain(sK1),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ? [X0] :
      ( zero = divergence(X0)
      & ? [X1] :
          ( zero != domain(X1)
          & forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X0] :
        ( zero = divergence(X0)
       => ! [X1] :
            ( forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1)))
           => zero = domain(X1) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X3] :
        ( zero = divergence(X3)
       => ! [X4] :
            ( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
           => zero = domain(X4) ) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X3] :
      ( zero = divergence(X3)
     => ! [X4] :
          ( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
         => zero = domain(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f423,plain,
    zero = antidomain(antidomain(sK1)),
    inference(superposition,[],[f418,f80]) ).

fof(f80,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).

fof(f418,plain,
    zero = addition(antidomain(antidomain(sK1)),zero),
    inference(forward_demodulation,[],[f417,f370]) ).

fof(f370,plain,
    zero = antidomain(one),
    inference(backward_demodulation,[],[f141,f240]) ).

fof(f240,plain,
    one = antidomain(multiplication(sK0,antidomain(one))),
    inference(superposition,[],[f230,f154]) ).

fof(f154,plain,
    one = addition(zero,antidomain(multiplication(sK0,antidomain(one)))),
    inference(superposition,[],[f72,f141]) ).

fof(f72,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).

fof(f230,plain,
    ! [X1] : addition(zero,X1) = X1,
    inference(forward_demodulation,[],[f229,f78]) ).

fof(f78,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).

fof(f229,plain,
    ! [X1] : addition(multiplication(zero,X1),X1) = X1,
    inference(forward_demodulation,[],[f227,f64]) ).

fof(f64,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f227,plain,
    ! [X1] : multiplication(one,X1) = addition(multiplication(zero,X1),multiplication(one,X1)),
    inference(superposition,[],[f65,f150]) ).

fof(f150,plain,
    one = addition(zero,one),
    inference(forward_demodulation,[],[f112,f111]) ).

fof(f111,plain,
    one = antidomain(zero),
    inference(superposition,[],[f104,f80]) ).

fof(f104,plain,
    one = addition(antidomain(zero),zero),
    inference(superposition,[],[f72,f95]) ).

fof(f95,plain,
    zero = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(zero))))),
    inference(superposition,[],[f92,f84]) ).

fof(f84,plain,
    zero = divergence(sK0),
    inference(cnf_transformation,[],[f53]) ).

fof(f92,plain,
    ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
    inference(definition_unfolding,[],[f75,f89]) ).

fof(f89,plain,
    ! [X0,X1] : antidomain(antidomain(multiplication(X1,antidomain(antidomain(X0))))) = forward_diamond(X1,X0),
    inference(definition_unfolding,[],[f66,f69,f69]) ).

fof(f66,plain,
    ! [X0,X1] : forward_diamond(X1,X0) = domain(multiplication(X1,domain(X0))),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] : forward_diamond(X1,X0) = domain(multiplication(X1,domain(X0))),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X4,X3] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).

fof(f75,plain,
    ! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divergence1) ).

fof(f112,plain,
    one = addition(zero,antidomain(zero)),
    inference(superposition,[],[f104,f81]) ).

fof(f81,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f65,plain,
    ! [X2,X0,X1] : addition(multiplication(X1,X0),multiplication(X2,X0)) = multiplication(addition(X1,X2),X0),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X1,X2,X0] : addition(multiplication(X1,X0),multiplication(X2,X0)) = multiplication(addition(X1,X2),X0),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).

fof(f141,plain,
    zero = antidomain(antidomain(multiplication(sK0,antidomain(one)))),
    inference(backward_demodulation,[],[f95,f111]) ).

fof(f417,plain,
    addition(antidomain(antidomain(sK1)),antidomain(one)) = antidomain(one),
    inference(forward_demodulation,[],[f416,f111]) ).

fof(f416,plain,
    addition(antidomain(antidomain(sK1)),antidomain(antidomain(zero))) = antidomain(antidomain(zero)),
    inference(forward_demodulation,[],[f415,f74]) ).

fof(f74,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).

fof(f415,plain,
    antidomain(antidomain(multiplication(star(sK0),zero))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),zero)))),
    inference(forward_demodulation,[],[f414,f370]) ).

fof(f414,plain,
    addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(one))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(one)))),
    inference(forward_demodulation,[],[f413,f111]) ).

fof(f413,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
    inference(forward_demodulation,[],[f407,f370]) ).

fof(f407,plain,
    antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(one)))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(one))))))),
    inference(superposition,[],[f405,f111]) ).

fof(f405,plain,
    ! [X0] : addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))),
    inference(forward_demodulation,[],[f135,f230]) ).

fof(f135,plain,
    ! [X0] : addition(antidomain(antidomain(sK1)),addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))) = addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))),
    inference(forward_demodulation,[],[f124,f84]) ).

fof(f124,plain,
    ! [X0] : addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))),
    inference(unit_resulting_resolution,[],[f110,f91]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( addition(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1))))))),antidomain(antidomain(X0))) != addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(multiplication(X2,antidomain(antidomain(antidomain(antidomain(X1))))))),antidomain(antidomain(X0))))
      | addition(antidomain(antidomain(X1)),addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(X0))))))))) = addition(divergence(X2),antidomain(antidomain(multiplication(star(X2),antidomain(antidomain(antidomain(antidomain(X0)))))))) ),
    inference(definition_unfolding,[],[f56,f89,f69,f69,f89,f69,f69,f89,f69,f69,f89,f69,f69]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( addition(divergence(X2),forward_diamond(star(X2),domain(X0))) = addition(domain(X1),addition(divergence(X2),forward_diamond(star(X2),domain(X0))))
      | addition(domain(X1),addition(forward_diamond(X2,domain(X1)),domain(X0))) != addition(forward_diamond(X2,domain(X1)),domain(X0)) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0,X2] :
      ( addition(domain(X1),addition(forward_diamond(X2,domain(X1)),domain(X0))) != addition(forward_diamond(X2,domain(X1)),domain(X0))
      | addition(divergence(X2),forward_diamond(star(X2),domain(X0))) = addition(domain(X1),addition(divergence(X2),forward_diamond(star(X2),domain(X0)))) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( addition(domain(X1),addition(forward_diamond(X2,domain(X1)),domain(X0))) = addition(forward_diamond(X2,domain(X1)),domain(X0))
     => addition(divergence(X2),forward_diamond(star(X2),domain(X0))) = addition(domain(X1),addition(divergence(X2),forward_diamond(star(X2),domain(X0)))) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X5,X3,X4] :
      ( addition(forward_diamond(X4,domain(X3)),domain(X5)) = addition(domain(X3),addition(forward_diamond(X4,domain(X3)),domain(X5)))
     => addition(divergence(X4),forward_diamond(star(X4),domain(X5))) = addition(domain(X3),addition(divergence(X4),forward_diamond(star(X4),domain(X5)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divergence2) ).

fof(f110,plain,
    ! [X2] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X2) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X2)),
    inference(superposition,[],[f68,f94]) ).

fof(f94,plain,
    addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),
    inference(definition_unfolding,[],[f82,f69,f89,f69,f89,f69]) ).

fof(f82,plain,
    addition(domain(sK1),forward_diamond(sK0,domain(sK1))) = forward_diamond(sK0,domain(sK1)),
    inference(cnf_transformation,[],[f53]) ).

fof(f68,plain,
    ! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X2,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : KLE128+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 00:40:45 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (20585)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.47  % (20582)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.48  % (20590)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.49  % (20582)Instruction limit reached!
% 0.19/0.49  % (20582)------------------------------
% 0.19/0.49  % (20582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (20600)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.49  % (20600)Refutation not found, incomplete strategy% (20600)------------------------------
% 0.19/0.49  % (20600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (20584)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (20604)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50  % (20585)Instruction limit reached!
% 0.19/0.50  % (20585)------------------------------
% 0.19/0.50  % (20585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (20611)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.50  % (20593)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50  % (20586)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50  % (20603)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (20585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (20585)Termination reason: Unknown
% 0.19/0.50  % (20585)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (20585)Memory used [KB]: 6140
% 0.19/0.50  % (20585)Time elapsed: 0.109 s
% 0.19/0.50  % (20585)Instructions burned: 13 (million)
% 0.19/0.50  % (20585)------------------------------
% 0.19/0.50  % (20585)------------------------------
% 0.19/0.50  % (20593)Refutation not found, incomplete strategy% (20593)------------------------------
% 0.19/0.50  % (20593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (20593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (20593)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (20593)Memory used [KB]: 1535
% 0.19/0.50  % (20593)Time elapsed: 0.118 s
% 0.19/0.50  % (20593)Instructions burned: 3 (million)
% 0.19/0.50  % (20593)------------------------------
% 0.19/0.50  % (20593)------------------------------
% 0.19/0.50  % (20600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (20600)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (20600)Memory used [KB]: 6012
% 0.19/0.50  % (20600)Time elapsed: 0.096 s
% 0.19/0.50  % (20600)Instructions burned: 3 (million)
% 0.19/0.50  % (20600)------------------------------
% 0.19/0.50  % (20600)------------------------------
% 0.19/0.50  % (20582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (20582)Termination reason: Unknown
% 0.19/0.50  % (20582)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (20582)Memory used [KB]: 6140
% 0.19/0.50  % (20582)Time elapsed: 0.085 s
% 0.19/0.50  % (20582)Instructions burned: 13 (million)
% 0.19/0.50  % (20582)------------------------------
% 0.19/0.50  % (20582)------------------------------
% 0.19/0.51  % (20595)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (20596)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (20595)Instruction limit reached!
% 0.19/0.51  % (20595)------------------------------
% 0.19/0.51  % (20595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (20587)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51  % (20594)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (20607)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52  % (20598)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (20581)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (20595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (20595)Termination reason: Unknown
% 0.19/0.52  % (20595)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (20595)Memory used [KB]: 6012
% 0.19/0.52  % (20595)Time elapsed: 0.003 s
% 0.19/0.52  % (20595)Instructions burned: 3 (million)
% 0.19/0.52  % (20595)------------------------------
% 0.19/0.52  % (20595)------------------------------
% 0.19/0.52  % (20606)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (20592)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (20598)Instruction limit reached!
% 0.19/0.52  % (20598)------------------------------
% 0.19/0.52  % (20598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (20598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (20598)Termination reason: Unknown
% 0.19/0.52  % (20598)Termination phase: Finite model building preprocessing
% 0.19/0.52  
% 0.19/0.52  % (20598)Memory used [KB]: 1535
% 0.19/0.52  % (20598)Time elapsed: 0.004 s
% 0.19/0.52  % (20598)Instructions burned: 3 (million)
% 0.19/0.52  % (20598)------------------------------
% 0.19/0.52  % (20598)------------------------------
% 0.19/0.52  % (20586)Instruction limit reached!
% 0.19/0.52  % (20586)------------------------------
% 0.19/0.52  % (20586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (20610)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52  % (20586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (20586)Termination reason: Unknown
% 0.19/0.52  % (20586)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (20586)Memory used [KB]: 1663
% 0.19/0.52  % (20586)Time elapsed: 0.131 s
% 0.19/0.52  % (20586)Instructions burned: 15 (million)
% 0.19/0.52  % (20586)------------------------------
% 0.19/0.52  % (20586)------------------------------
% 0.19/0.52  % (20583)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (20589)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53  % (20610)Refutation not found, incomplete strategy% (20610)------------------------------
% 0.19/0.53  % (20610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (20605)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53  % (20583)Instruction limit reached!
% 0.19/0.53  % (20583)------------------------------
% 0.19/0.53  % (20583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (20583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (20583)Termination reason: Unknown
% 0.19/0.53  % (20583)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (20583)Memory used [KB]: 6012
% 0.19/0.53  % (20583)Time elapsed: 0.132 s
% 0.19/0.53  % (20583)Instructions burned: 4 (million)
% 0.19/0.53  % (20583)------------------------------
% 0.19/0.53  % (20583)------------------------------
% 0.19/0.53  % (20592)Instruction limit reached!
% 0.19/0.53  % (20592)------------------------------
% 0.19/0.53  % (20592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (20601)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53  % (20597)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (20596)Instruction limit reached!
% 0.19/0.53  % (20596)------------------------------
% 0.19/0.53  % (20596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (20596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (20596)Termination reason: Unknown
% 0.19/0.53  % (20596)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (20596)Memory used [KB]: 6012
% 0.19/0.53  % (20596)Time elapsed: 0.102 s
% 0.19/0.53  % (20596)Instructions burned: 8 (million)
% 0.19/0.53  % (20596)------------------------------
% 0.19/0.53  % (20596)------------------------------
% 0.19/0.53  % (20601)Refutation not found, incomplete strategy% (20601)------------------------------
% 0.19/0.53  % (20601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (20601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (20601)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (20601)Memory used [KB]: 6012
% 0.19/0.53  % (20601)Time elapsed: 0.139 s
% 0.19/0.53  % (20601)Instructions burned: 5 (million)
% 0.19/0.53  % (20601)------------------------------
% 0.19/0.53  % (20601)------------------------------
% 0.19/0.53  % (20592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (20592)Termination reason: Unknown
% 0.19/0.53  % (20592)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (20592)Memory used [KB]: 6012
% 0.19/0.53  % (20592)Time elapsed: 0.134 s
% 0.19/0.53  % (20592)Instructions burned: 8 (million)
% 0.19/0.53  % (20592)------------------------------
% 0.19/0.53  % (20592)------------------------------
% 0.19/0.53  % (20588)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (20610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (20610)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (20610)Memory used [KB]: 6012
% 0.19/0.53  % (20610)Time elapsed: 0.127 s
% 0.19/0.53  % (20610)Instructions burned: 2 (million)
% 0.19/0.53  % (20610)------------------------------
% 0.19/0.53  % (20610)------------------------------
% 0.19/0.53  % (20608)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (20591)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53  % (20591)Refutation not found, incomplete strategy% (20591)------------------------------
% 0.19/0.53  % (20591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (20591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (20591)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (20591)Memory used [KB]: 5884
% 0.19/0.53  % (20591)Time elapsed: 0.138 s
% 0.19/0.53  % (20591)Instructions burned: 1 (million)
% 0.19/0.53  % (20591)------------------------------
% 0.19/0.53  % (20591)------------------------------
% 0.19/0.54  % (20609)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.54  % (20599)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (20599)Instruction limit reached!
% 0.19/0.54  % (20599)------------------------------
% 0.19/0.54  % (20599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (20599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (20599)Termination reason: Unknown
% 0.19/0.54  % (20599)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (20599)Memory used [KB]: 1407
% 0.19/0.54  % (20599)Time elapsed: 0.002 s
% 0.19/0.54  % (20599)Instructions burned: 2 (million)
% 0.19/0.54  % (20599)------------------------------
% 0.19/0.54  % (20599)------------------------------
% 0.19/0.54  % (20611)Instruction limit reached!
% 0.19/0.54  % (20611)------------------------------
% 0.19/0.54  % (20611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (20611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (20611)Termination reason: Unknown
% 0.19/0.54  % (20611)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (20611)Memory used [KB]: 6524
% 0.19/0.54  % (20611)Time elapsed: 0.161 s
% 0.19/0.54  % (20611)Instructions burned: 26 (million)
% 0.19/0.54  % (20611)------------------------------
% 0.19/0.54  % (20611)------------------------------
% 0.19/0.54  % (20606)Refutation not found, incomplete strategy% (20606)------------------------------
% 0.19/0.54  % (20606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (20606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (20606)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (20606)Memory used [KB]: 6012
% 0.19/0.54  % (20606)Time elapsed: 0.146 s
% 0.19/0.54  % (20606)Instructions burned: 5 (million)
% 0.19/0.54  % (20606)------------------------------
% 0.19/0.54  % (20606)------------------------------
% 0.19/0.55  % (20587)Instruction limit reached!
% 0.19/0.55  % (20587)------------------------------
% 0.19/0.55  % (20587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (20590)Instruction limit reached!
% 0.19/0.55  % (20590)------------------------------
% 0.19/0.55  % (20590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (20590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (20590)Termination reason: Unknown
% 0.19/0.55  % (20590)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (20590)Memory used [KB]: 6396
% 0.19/0.55  % (20590)Time elapsed: 0.149 s
% 0.19/0.55  % (20590)Instructions burned: 33 (million)
% 0.19/0.55  % (20590)------------------------------
% 0.19/0.55  % (20590)------------------------------
% 0.19/0.55  % (20589)First to succeed.
% 1.70/0.56  % (20587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.56  % (20587)Termination reason: Unknown
% 1.70/0.56  % (20587)Termination phase: Saturation
% 1.70/0.56  
% 1.70/0.56  % (20587)Memory used [KB]: 6652
% 1.70/0.56  % (20587)Time elapsed: 0.131 s
% 1.70/0.56  % (20587)Instructions burned: 42 (million)
% 1.70/0.56  % (20587)------------------------------
% 1.70/0.56  % (20587)------------------------------
% 1.75/0.57  % (20584)Instruction limit reached!
% 1.75/0.57  % (20584)------------------------------
% 1.75/0.57  % (20584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.57  % (20584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.57  % (20584)Termination reason: Unknown
% 1.75/0.57  % (20584)Termination phase: Saturation
% 1.75/0.57  
% 1.75/0.57  % (20584)Memory used [KB]: 6780
% 1.75/0.57  % (20584)Time elapsed: 0.170 s
% 1.75/0.57  % (20584)Instructions burned: 53 (million)
% 1.75/0.57  % (20584)------------------------------
% 1.75/0.57  % (20584)------------------------------
% 1.75/0.57  % (20594)Instruction limit reached!
% 1.75/0.57  % (20594)------------------------------
% 1.75/0.57  % (20594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58  % (20589)Refutation found. Thanks to Tanya!
% 1.75/0.58  % SZS status Theorem for theBenchmark
% 1.75/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.58  % (20589)------------------------------
% 1.75/0.58  % (20589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58  % (20589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (20589)Termination reason: Refutation
% 1.75/0.58  
% 1.75/0.58  % (20589)Memory used [KB]: 6268
% 1.75/0.58  % (20589)Time elapsed: 0.143 s
% 1.75/0.58  % (20589)Instructions burned: 23 (million)
% 1.75/0.58  % (20589)------------------------------
% 1.75/0.58  % (20589)------------------------------
% 1.75/0.58  % (20577)Success in time 0.223 s
%------------------------------------------------------------------------------