TSTP Solution File: KLE065+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE065+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 : n010.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 17:27:58 EDT 2022

% Result   : Theorem 1.26s 0.71s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  28 unt;   0 def)
%            Number of atoms       :   44 (  43 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   9   ~;   0   |;   5   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (  20   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f778,plain,
    $false,
    inference(subsumption_resolution,[],[f777,f55]) ).

fof(f55,plain,
    zero != sF3,
    inference(definition_folding,[],[f45,f54,f53]) ).

fof(f53,plain,
    domain(sK1) = sF2,
    introduced(function_definition,[]) ).

fof(f54,plain,
    multiplication(sK0,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f45,plain,
    zero != multiplication(sK0,domain(sK1)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ( zero != multiplication(sK0,domain(sK1))
    & zero = multiplication(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f30,f31]) ).

fof(f31,plain,
    ( ? [X0,X1] :
        ( zero != multiplication(X0,domain(X1))
        & zero = multiplication(X0,X1) )
   => ( zero != multiplication(sK0,domain(sK1))
      & zero = multiplication(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ? [X0,X1] :
      ( zero != multiplication(X0,domain(X1))
      & zero = multiplication(X0,X1) ),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ? [X1,X0] :
      ( zero != multiplication(X1,domain(X0))
      & zero = multiplication(X1,X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0,X1] :
        ( zero = multiplication(X1,X0)
       => zero = multiplication(X1,domain(X0)) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X4,X3] :
        ( zero = multiplication(X3,X4)
       => zero = multiplication(X3,domain(X4)) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X4,X3] :
      ( zero = multiplication(X3,X4)
     => zero = multiplication(X3,domain(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f777,plain,
    zero = sF3,
    inference(forward_demodulation,[],[f776,f35]) ).

fof(f35,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

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

fof(f776,plain,
    zero = addition(sF3,zero),
    inference(forward_demodulation,[],[f771,f50]) ).

fof(f50,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

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

fof(f771,plain,
    multiplication(zero,sF3) = addition(sF3,multiplication(zero,sF3)),
    inference(superposition,[],[f49,f97]) ).

fof(f97,plain,
    zero = domain(sF3),
    inference(forward_demodulation,[],[f96,f46]) ).

fof(f46,plain,
    zero = domain(zero),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    zero = domain(zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).

fof(f96,plain,
    domain(zero) = domain(sF3),
    inference(forward_demodulation,[],[f89,f58]) ).

fof(f58,plain,
    zero = multiplication(sK0,sK1),
    inference(forward_demodulation,[],[f56,f57]) ).

fof(f57,plain,
    zero = sF4,
    inference(definition_folding,[],[f44,f56]) ).

fof(f44,plain,
    zero = multiplication(sK0,sK1),
    inference(cnf_transformation,[],[f32]) ).

fof(f56,plain,
    multiplication(sK0,sK1) = sF4,
    introduced(function_definition,[]) ).

fof(f89,plain,
    domain(multiplication(sK0,sK1)) = domain(sF3),
    inference(superposition,[],[f73,f54]) ).

fof(f73,plain,
    ! [X1] : domain(multiplication(X1,sK1)) = domain(multiplication(X1,sF2)),
    inference(superposition,[],[f47,f53]) ).

fof(f47,plain,
    ! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X4,X3] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).

fof(f49,plain,
    ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : KLE065+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % 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 : n010.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 00:17:44 EDT 2022
% 0.12/0.33  % CPUTime    : 
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% 0.18/0.50  ipcrm: permission denied for id (630423678)
% 0.18/0.51  ipcrm: permission denied for id (630456447)
% 0.90/0.63  % (29692)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 (2998ds/15Mi)
% 1.10/0.64  % (29701)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 (2998ds/3Mi)
% 1.10/0.64  % (29701)Instruction limit reached!
% 1.10/0.64  % (29701)------------------------------
% 1.10/0.64  % (29701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.10/0.64  % (29701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.10/0.64  % (29701)Termination reason: Unknown
% 1.10/0.64  % (29701)Termination phase: Saturation
% 1.10/0.64  
% 1.10/0.64  % (29701)Memory used [KB]: 5884
% 1.10/0.64  % (29701)Time elapsed: 0.083 s
% 1.10/0.64  % (29701)Instructions burned: 3 (million)
% 1.10/0.64  % (29701)------------------------------
% 1.10/0.64  % (29701)------------------------------
% 1.10/0.65  % (29709)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 (2998ds/82Mi)
% 1.26/0.65  % (29692)Instruction limit reached!
% 1.26/0.65  % (29692)------------------------------
% 1.26/0.65  % (29692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.66  % (29692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.66  % (29692)Termination reason: Unknown
% 1.26/0.66  % (29692)Termination phase: Saturation
% 1.26/0.66  
% 1.26/0.66  % (29692)Memory used [KB]: 1663
% 1.26/0.66  % (29692)Time elapsed: 0.094 s
% 1.26/0.66  % (29692)Instructions burned: 15 (million)
% 1.26/0.66  % (29692)------------------------------
% 1.26/0.66  % (29692)------------------------------
% 1.26/0.66  % (29687)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99978Mi)
% 1.26/0.67  % (29689)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 (2998ds/3Mi)
% 1.26/0.67  % (29689)Instruction limit reached!
% 1.26/0.67  % (29689)------------------------------
% 1.26/0.67  % (29689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.67  % (29689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.67  % (29689)Termination reason: Unknown
% 1.26/0.67  % (29689)Termination phase: Saturation
% 1.26/0.67  
% 1.26/0.67  % (29689)Memory used [KB]: 5884
% 1.26/0.67  % (29689)Time elapsed: 0.110 s
% 1.26/0.67  % (29689)Instructions burned: 3 (million)
% 1.26/0.67  % (29689)------------------------------
% 1.26/0.67  % (29689)------------------------------
% 1.26/0.67  % (29696)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 (2998ds/33Mi)
% 1.26/0.67  % (29710)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 (2998ds/45Mi)
% 1.26/0.67  % (29702)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 (2998ds/7Mi)
% 1.26/0.68  % (29697)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 (2998ds/12Mi)
% 1.26/0.68  % (29697)Refutation not found, incomplete strategy% (29697)------------------------------
% 1.26/0.68  % (29697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.68  % (29697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.68  % (29697)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.68  
% 1.26/0.68  % (29697)Memory used [KB]: 5884
% 1.26/0.68  % (29697)Time elapsed: 0.113 s
% 1.26/0.68  % (29697)Instructions burned: 2 (million)
% 1.26/0.68  % (29697)------------------------------
% 1.26/0.68  % (29697)------------------------------
% 1.26/0.69  % (29694)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 (2998ds/39Mi)
% 1.26/0.69  % (29688)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 (2998ds/13Mi)
% 1.26/0.69  % (29708)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 (2998ds/99Mi)
% 1.26/0.69  % (29690)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 (2998ds/51Mi)
% 1.26/0.69  % (29691)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/13Mi)
% 1.26/0.69  % (29716)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 (2998ds/24Mi)
% 1.26/0.69  % (29698)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.26/0.69  % (29700)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 (2998ds/51Mi)
% 1.26/0.70  % (29714)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 (2998ds/25Mi)
% 1.26/0.70  % (29693)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 (2998ds/39Mi)
% 1.26/0.70  % (29698)Instruction limit reached!
% 1.26/0.70  % (29698)------------------------------
% 1.26/0.70  % (29698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.70  % (29706)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 (2998ds/11Mi)
% 1.26/0.70  % (29698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.70  % (29698)Termination reason: Unknown
% 1.26/0.70  % (29698)Termination phase: Saturation
% 1.26/0.70  
% 1.26/0.70  % (29698)Memory used [KB]: 6012
% 1.26/0.70  % (29698)Time elapsed: 0.133 s
% 1.26/0.70  % (29698)Instructions burned: 8 (million)
% 1.26/0.70  % (29698)------------------------------
% 1.26/0.70  % (29698)------------------------------
% 1.26/0.70  % (29706)Refutation not found, incomplete strategy% (29706)------------------------------
% 1.26/0.70  % (29706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.70  % (29706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.70  % (29706)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.70  
% 1.26/0.70  % (29706)Memory used [KB]: 5884
% 1.26/0.70  % (29706)Time elapsed: 0.138 s
% 1.26/0.70  % (29706)Instructions burned: 2 (million)
% 1.26/0.70  % (29706)------------------------------
% 1.26/0.70  % (29706)------------------------------
% 1.26/0.70  % (29703)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 (2998ds/50Mi)
% 1.26/0.70  % (29715)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 (2998ds/8Mi)
% 1.26/0.70  % (29704)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.26/0.70  % (29699)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 (2998ds/16Mi)
% 1.26/0.70  % (29715)Refutation not found, incomplete strategy% (29715)------------------------------
% 1.26/0.70  % (29715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.70  TRYING [1]
% 1.26/0.70  % (29715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.70  % (29715)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.70  
% 1.26/0.70  % (29715)Memory used [KB]: 5884
% 1.26/0.70  % (29715)Time elapsed: 0.115 s
% 1.26/0.70  % (29715)Instructions burned: 2 (million)
% 1.26/0.70  % (29715)------------------------------
% 1.26/0.70  % (29715)------------------------------
% 1.26/0.70  % (29704)Instruction limit reached!
% 1.26/0.70  % (29704)------------------------------
% 1.26/0.70  % (29704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.70  % (29704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.70  % (29704)Termination reason: Unknown
% 1.26/0.70  % (29704)Termination phase: Finite model building constraint generation
% 1.26/0.70  
% 1.26/0.70  % (29704)Memory used [KB]: 6012
% 1.26/0.70  % (29704)Time elapsed: 0.138 s
% 1.26/0.70  % (29704)Instructions burned: 5 (million)
% 1.26/0.70  % (29704)------------------------------
% 1.26/0.70  % (29704)------------------------------
% 1.26/0.70  % (29702)Instruction limit reached!
% 1.26/0.70  % (29702)------------------------------
% 1.26/0.70  % (29702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.70  % (29702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.70  % (29702)Termination reason: Unknown
% 1.26/0.70  % (29702)Termination phase: Saturation
% 1.26/0.70  
% 1.26/0.70  % (29702)Memory used [KB]: 6012
% 1.26/0.70  % (29702)Time elapsed: 0.095 s
% 1.26/0.70  % (29699)Refutation not found, incomplete strategy% (29699)------------------------------
% 1.26/0.70  % (29699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.70  % (29699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.70  % (29699)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.70  
% 1.26/0.70  % (29699)Memory used [KB]: 1407
% 1.26/0.70  % (29699)Time elapsed: 0.138 s
% 1.26/0.70  % (29699)Instructions burned: 2 (million)
% 1.26/0.70  % (29699)------------------------------
% 1.26/0.70  % (29699)------------------------------
% 1.26/0.70  % (29702)Instructions burned: 8 (million)
% 1.26/0.70  % (29702)------------------------------
% 1.26/0.70  % (29702)------------------------------
% 1.26/0.70  % (29695)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 (2998ds/49Mi)
% 1.26/0.71  % (29687)First to succeed.
% 1.26/0.71  % (29687)Refutation found. Thanks to Tanya!
% 1.26/0.71  % SZS status Theorem for theBenchmark
% 1.26/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.71  % (29687)------------------------------
% 1.26/0.71  % (29687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.71  % (29687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.71  % (29687)Termination reason: Refutation
% 1.26/0.71  
% 1.26/0.71  % (29687)Memory used [KB]: 6396
% 1.26/0.71  % (29687)Time elapsed: 0.136 s
% 1.26/0.71  % (29687)Instructions burned: 27 (million)
% 1.26/0.71  % (29687)------------------------------
% 1.26/0.71  % (29687)------------------------------
% 1.26/0.71  % (29457)Success in time 0.362 s
%------------------------------------------------------------------------------