TSTP Solution File: SEU295+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU295+2 : 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 : n017.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 18:33:03 EDT 2022

% Result   : Theorem 2.27s 0.71s
% Output   : Refutation 2.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   44 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   37 (  17   ~;   9   |;   6   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   36 (  32   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3210,plain,
    $false,
    inference(subsumption_resolution,[],[f3207,f2297]) ).

fof(f2297,plain,
    finite(sK164),
    inference(cnf_transformation,[],[f1405]) ).

fof(f1405,plain,
    ( finite(sK164)
    & ~ finite(set_intersection2(sK164,sK165)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK164,sK165])],[f624,f1404]) ).

fof(f1404,plain,
    ( ? [X0,X1] :
        ( finite(X0)
        & ~ finite(set_intersection2(X0,X1)) )
   => ( finite(sK164)
      & ~ finite(set_intersection2(sK164,sK165)) ) ),
    introduced(choice_axiom,[]) ).

fof(f624,plain,
    ? [X0,X1] :
      ( finite(X0)
      & ~ finite(set_intersection2(X0,X1)) ),
    inference(ennf_transformation,[],[f262]) ).

fof(f262,negated_conjecture,
    ~ ! [X0,X1] :
        ( finite(X0)
       => finite(set_intersection2(X0,X1)) ),
    inference(negated_conjecture,[],[f261]) ).

fof(f261,conjecture,
    ! [X0,X1] :
      ( finite(X0)
     => finite(set_intersection2(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_finset_1) ).

fof(f3207,plain,
    ~ finite(sK164),
    inference(resolution,[],[f3204,f2882]) ).

fof(f2882,plain,
    ~ finite(set_difference(sK164,set_difference(sK164,sK165))),
    inference(definition_unfolding,[],[f2296,f2522]) ).

fof(f2522,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
    inference(cnf_transformation,[],[f1578]) ).

fof(f1578,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
    inference(rectify,[],[f453]) ).

fof(f453,plain,
    ! [X1,X0] : set_intersection2(X1,X0) = set_difference(X1,set_difference(X1,X0)),
    inference(rectify,[],[f345]) ).

fof(f345,axiom,
    ! [X1,X0] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).

fof(f2296,plain,
    ~ finite(set_intersection2(sK164,sK165)),
    inference(cnf_transformation,[],[f1405]) ).

fof(f3204,plain,
    ! [X10,X9] :
      ( finite(set_difference(X9,X10))
      | ~ finite(X9) ),
    inference(resolution,[],[f2637,f2641]) ).

fof(f2641,plain,
    ! [X0,X1] : subset(set_difference(X1,X0),X1),
    inference(cnf_transformation,[],[f478]) ).

fof(f478,plain,
    ! [X0,X1] : subset(set_difference(X1,X0),X1),
    inference(rectify,[],[f317]) ).

fof(f317,axiom,
    ! [X1,X0] : subset(set_difference(X0,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).

fof(f2637,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ~ finite(X1)
      | finite(X0) ),
    inference(cnf_transformation,[],[f1668]) ).

fof(f1668,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | finite(X0)
      | ~ finite(X1) ),
    inference(rectify,[],[f843]) ).

fof(f843,plain,
    ! [X1,X0] :
      ( ~ subset(X1,X0)
      | finite(X1)
      | ~ finite(X0) ),
    inference(flattening,[],[f842]) ).

fof(f842,plain,
    ! [X1,X0] :
      ( finite(X1)
      | ~ finite(X0)
      | ~ subset(X1,X0) ),
    inference(ennf_transformation,[],[f424]) ).

fof(f424,plain,
    ! [X1,X0] :
      ( ( finite(X0)
        & subset(X1,X0) )
     => finite(X1) ),
    inference(rectify,[],[f251]) ).

fof(f251,axiom,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & finite(X1) )
     => finite(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU295+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:30:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.55  % (14239)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (14230)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)
% 0.20/0.56  % (14216)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)
% 0.20/0.56  % (14223)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56  % (14223)Instruction limit reached!
% 0.20/0.56  % (14223)------------------------------
% 0.20/0.56  % (14223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (14223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (14223)Termination reason: Unknown
% 0.20/0.56  % (14223)Termination phase: Preprocessing 1
% 0.20/0.56  
% 0.20/0.56  % (14223)Memory used [KB]: 1279
% 0.20/0.56  % (14223)Time elapsed: 0.003 s
% 0.20/0.56  % (14223)Instructions burned: 2 (million)
% 0.20/0.56  % (14223)------------------------------
% 0.20/0.56  % (14223)------------------------------
% 0.20/0.59  % (14240)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.60  % (14224)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)
% 0.20/0.61  % (14218)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)
% 0.20/0.61  % (14227)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.61  % (14215)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)
% 0.20/0.62  % (14221)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)
% 0.20/0.62  % (14237)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)
% 0.20/0.62  % (14219)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.62  % (14226)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)
% 1.76/0.63  % (14222)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.76/0.63  % (14225)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.76/0.63  % (14229)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)
% 1.76/0.63  % (14238)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)
% 1.76/0.63  % (14241)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)
% 1.76/0.63  % (14242)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)
% 1.76/0.63  % (14244)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)
% 1.76/0.63  % (14236)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.76/0.63  % (14217)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)
% 1.76/0.64  % (14231)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)
% 1.76/0.64  % (14216)Instruction limit reached!
% 1.76/0.64  % (14216)------------------------------
% 1.76/0.64  % (14216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.64  % (14228)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.76/0.64  % (14243)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.76/0.64  % (14234)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)
% 1.76/0.64  % (14232)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.76/0.64  % (14233)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.64  % (14220)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)
% 2.11/0.65  % (14216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.65  % (14216)Termination reason: Unknown
% 2.11/0.65  % (14216)Termination phase: Saturation
% 2.11/0.65  
% 2.11/0.65  % (14216)Memory used [KB]: 7547
% 2.11/0.65  % (14216)Time elapsed: 0.030 s
% 2.11/0.65  % (14216)Instructions burned: 50 (million)
% 2.11/0.65  % (14216)------------------------------
% 2.11/0.65  % (14216)------------------------------
% 2.11/0.65  % (14222)Instruction limit reached!
% 2.11/0.65  % (14222)------------------------------
% 2.11/0.65  % (14222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.65  % (14222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.65  % (14222)Termination reason: Unknown
% 2.11/0.65  % (14222)Termination phase: Naming
% 2.11/0.65  
% 2.11/0.65  % (14222)Memory used [KB]: 1791
% 2.11/0.65  % (14222)Time elapsed: 0.006 s
% 2.11/0.65  % (14222)Instructions burned: 8 (million)
% 2.11/0.65  % (14222)------------------------------
% 2.11/0.65  % (14222)------------------------------
% 2.11/0.65  % (14235)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)
% 2.11/0.66  % (14224)Instruction limit reached!
% 2.11/0.66  % (14224)------------------------------
% 2.11/0.66  % (14224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.66  % (14224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.66  % (14224)Termination reason: Unknown
% 2.11/0.66  % (14224)Termination phase: Saturation
% 2.11/0.66  
% 2.11/0.66  % (14224)Memory used [KB]: 3070
% 2.11/0.66  % (14224)Time elapsed: 0.036 s
% 2.11/0.66  % (14224)Instructions burned: 51 (million)
% 2.11/0.66  % (14224)------------------------------
% 2.11/0.66  % (14224)------------------------------
% 2.27/0.69  % (14217)Instruction limit reached!
% 2.27/0.69  % (14217)------------------------------
% 2.27/0.69  % (14217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.69  % (14217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.69  % (14217)Termination reason: Unknown
% 2.27/0.69  % (14217)Termination phase: Equality resolution with deletion
% 2.27/0.69  
% 2.27/0.69  % (14217)Memory used [KB]: 2814
% 2.27/0.69  % (14217)Time elapsed: 0.021 s
% 2.27/0.69  % (14217)Instructions burned: 37 (million)
% 2.27/0.69  % (14217)------------------------------
% 2.27/0.69  % (14217)------------------------------
% 2.27/0.69  % (14218)Instruction limit reached!
% 2.27/0.69  % (14218)------------------------------
% 2.27/0.69  % (14218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.69  % (14218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.69  % (14218)Termination reason: Unknown
% 2.27/0.69  % (14218)Termination phase: Saturation
% 2.27/0.69  
% 2.27/0.69  % (14218)Memory used [KB]: 7164
% 2.27/0.69  % (14218)Time elapsed: 0.026 s
% 2.27/0.69  % (14218)Instructions burned: 52 (million)
% 2.27/0.69  % (14218)------------------------------
% 2.27/0.69  % (14218)------------------------------
% 2.27/0.70  % (14221)Instruction limit reached!
% 2.27/0.70  % (14221)------------------------------
% 2.27/0.70  % (14221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70  % (14221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70  % (14221)Termination reason: Unknown
% 2.27/0.70  % (14221)Termination phase: Finite model building preprocessing
% 2.27/0.70  
% 2.27/0.70  % (14221)Memory used [KB]: 3198
% 2.27/0.70  % (14221)Time elapsed: 0.025 s
% 2.27/0.70  % (14221)Instructions burned: 51 (million)
% 2.27/0.70  % (14221)------------------------------
% 2.27/0.70  % (14221)------------------------------
% 2.27/0.70  % (14230)Instruction limit reached!
% 2.27/0.70  % (14230)------------------------------
% 2.27/0.70  % (14230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70  % (14230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70  % (14230)Termination reason: Unknown
% 2.27/0.70  % (14230)Termination phase: Saturation
% 2.27/0.70  
% 2.27/0.70  % (14230)Memory used [KB]: 3326
% 2.27/0.70  % (14230)Time elapsed: 0.064 s
% 2.27/0.70  % (14230)Instructions burned: 76 (million)
% 2.27/0.70  % (14230)------------------------------
% 2.27/0.70  % (14230)------------------------------
% 2.27/0.70  % (14225)Instruction limit reached!
% 2.27/0.70  % (14225)------------------------------
% 2.27/0.70  % (14225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70  % (14225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70  % (14225)Termination reason: Unknown
% 2.27/0.70  % (14225)Termination phase: Saturation
% 2.27/0.70  
% 2.27/0.70  % (14225)Memory used [KB]: 2942
% 2.27/0.70  % (14225)Time elapsed: 0.024 s
% 2.27/0.70  % (14225)Instructions burned: 50 (million)
% 2.27/0.70  % (14225)------------------------------
% 2.27/0.70  % (14225)------------------------------
% 2.27/0.71  % (14237)First to succeed.
% 2.27/0.71  % (14237)Refutation found. Thanks to Tanya!
% 2.27/0.71  % SZS status Theorem for theBenchmark
% 2.27/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.27/0.71  % (14237)------------------------------
% 2.27/0.71  % (14237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.71  % (14237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.71  % (14237)Termination reason: Refutation
% 2.27/0.71  
% 2.27/0.71  % (14237)Memory used [KB]: 3070
% 2.27/0.71  % (14237)Time elapsed: 0.234 s
% 2.27/0.71  % (14237)Instructions burned: 58 (million)
% 2.27/0.71  % (14237)------------------------------
% 2.27/0.71  % (14237)------------------------------
% 2.27/0.71  % (14214)Success in time 0.348 s
%------------------------------------------------------------------------------