TSTP Solution File: SEU128+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU128+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n023.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 18:32:02 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (   7 unt;   0 def)
%            Number of atoms       :   71 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   60 (  19   ~;  22   |;   8   &)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   51 (  45   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f539,plain,
    $false,
    inference(resolution,[],[f538,f57]) ).

fof(f57,plain,
    ~ subset(sK5,sF7),
    inference(definition_folding,[],[f42,f56]) ).

fof(f56,plain,
    set_intersection2(sK4,sK3) = sF7,
    introduced(function_definition,[]) ).

fof(f42,plain,
    ~ subset(sK5,set_intersection2(sK4,sK3)),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ? [X2,X1,X0] :
      ( subset(X0,X2)
      & ~ subset(X0,set_intersection2(X1,X2))
      & subset(X0,X1) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ? [X2,X0,X1] :
      ( ~ subset(X0,set_intersection2(X1,X2))
      & subset(X0,X1)
      & subset(X0,X2) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X2,X0,X1] :
        ( ( subset(X0,X1)
          & subset(X0,X2) )
       => subset(X0,set_intersection2(X1,X2)) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X2,X0,X1] :
      ( ( subset(X0,X1)
        & subset(X0,X2) )
     => subset(X0,set_intersection2(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).

fof(f538,plain,
    subset(sK5,sF7),
    inference(duplicate_literal_removal,[],[f533]) ).

fof(f533,plain,
    ( subset(sK5,sF7)
    | subset(sK5,sF7) ),
    inference(resolution,[],[f532,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ in(sK2(X0,X1),X0)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ in(X2,X1)
          | in(X2,X0) )
    <=> subset(X1,X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X1,X0] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( in(X2,X1)
         => in(X2,X0) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f532,plain,
    ! [X0] :
      ( in(sK2(X0,sK5),sF7)
      | subset(sK5,X0) ),
    inference(duplicate_literal_removal,[],[f531]) ).

fof(f531,plain,
    ! [X0] :
      ( in(sK2(X0,sK5),sF7)
      | subset(sK5,X0)
      | subset(sK5,X0) ),
    inference(resolution,[],[f175,f151]) ).

fof(f151,plain,
    ! [X0] :
      ( in(sK2(X0,sK5),sK3)
      | subset(sK5,X0) ),
    inference(resolution,[],[f146,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( in(sK2(X0,X1),X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f146,plain,
    ! [X11] :
      ( ~ in(X11,sK5)
      | in(X11,sK3) ),
    inference(resolution,[],[f40,f43]) ).

fof(f43,plain,
    subset(sK5,sK3),
    inference(cnf_transformation,[],[f24]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X1,X0)
      | in(X2,X0)
      | ~ in(X2,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f175,plain,
    ! [X1] :
      ( ~ in(sK2(X1,sK5),sK3)
      | in(sK2(X1,sK5),sF7)
      | subset(sK5,X1) ),
    inference(resolution,[],[f172,f149]) ).

fof(f149,plain,
    ! [X0] :
      ( in(sK2(X0,sK5),sK4)
      | subset(sK5,X0) ),
    inference(resolution,[],[f145,f39]) ).

fof(f145,plain,
    ! [X10] :
      ( ~ in(X10,sK5)
      | in(X10,sK4) ),
    inference(resolution,[],[f40,f41]) ).

fof(f41,plain,
    subset(sK5,sK4),
    inference(cnf_transformation,[],[f24]) ).

fof(f172,plain,
    ! [X13] :
      ( ~ in(X13,sK4)
      | in(X13,sF7)
      | ~ in(X13,sK3) ),
    inference(superposition,[],[f55,f56]) ).

fof(f55,plain,
    ! [X3,X0,X1] :
      ( in(X3,set_intersection2(X1,X0))
      | ~ in(X3,X1)
      | ~ in(X3,X0) ),
    inference(equality_resolution,[],[f45]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1] :
      ( set_intersection2(X1,X0) != X2
      | in(X3,X2)
      | ~ in(X3,X1)
      | ~ in(X3,X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0,X2] :
      ( ! [X3] :
          ( ( in(X3,X0)
            & in(X3,X1) )
        <=> in(X3,X2) )
    <=> set_intersection2(X1,X0) = X2 ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0,X2] :
      ( set_intersection2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            & in(X3,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU128+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n023.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 15:01:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (8638)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)
% 0.19/0.50  % (8661)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)
% 0.19/0.50  % (8650)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (8640)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)
% 0.19/0.50  % (8642)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)
% 0.19/0.50  % (8652)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)
% 0.19/0.50  % (8657)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)
% 0.19/0.50  % (8639)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)
% 0.19/0.50  % (8665)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)
% 0.19/0.50  % (8641)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  % (8638)Refutation not found, incomplete strategy% (8638)------------------------------
% 0.19/0.51  % (8638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (8638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (8638)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (8638)Memory used [KB]: 5373
% 0.19/0.51  % (8638)Time elapsed: 0.083 s
% 0.19/0.51  % (8638)Instructions burned: 3 (million)
% 0.19/0.51  % (8638)------------------------------
% 0.19/0.51  % (8638)------------------------------
% 0.19/0.51  % (8644)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (8640)First to succeed.
% 0.19/0.51  % (8645)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (8647)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (8645)Instruction limit reached!
% 0.19/0.51  % (8645)------------------------------
% 0.19/0.51  % (8645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (8645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (8645)Termination reason: Unknown
% 0.19/0.51  % (8645)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (8645)Memory used [KB]: 895
% 0.19/0.51  % (8645)Time elapsed: 0.002 s
% 0.19/0.51  % (8645)Instructions burned: 2 (million)
% 0.19/0.51  % (8645)------------------------------
% 0.19/0.51  % (8645)------------------------------
% 0.19/0.51  % (8667)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)
% 0.19/0.51  % (8653)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)
% 0.19/0.51  % (8656)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (8646)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)
% 0.19/0.51  % (8660)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)
% 0.19/0.52  % (8643)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)
% 0.19/0.52  % (8648)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)
% 0.19/0.52  % (8651)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  % (8659)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52  % (8649)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (8662)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (8637)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)
% 0.19/0.53  % (8644)Instruction limit reached!
% 0.19/0.53  % (8644)------------------------------
% 0.19/0.53  % (8644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (8644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (8644)Termination reason: Unknown
% 0.19/0.53  % (8644)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (8644)Memory used [KB]: 5500
% 0.19/0.53  % (8644)Time elapsed: 0.082 s
% 0.19/0.53  % (8644)Instructions burned: 7 (million)
% 0.19/0.53  % (8644)------------------------------
% 0.19/0.53  % (8644)------------------------------
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (8640)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (8640)------------------------------
% 0.19/0.53  % (8640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (8640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (8640)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (8640)Memory used [KB]: 5628
% 0.19/0.53  % (8640)Time elapsed: 0.112 s
% 0.19/0.53  % (8640)Instructions burned: 15 (million)
% 0.19/0.53  % (8640)------------------------------
% 0.19/0.53  % (8640)------------------------------
% 0.19/0.53  % (8635)Success in time 0.18 s
%------------------------------------------------------------------------------