TSTP Solution File: SWC371-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC371-1 : TPTP v8.1.0. Released v2.4.0.
% 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 18:43:26 EDT 2022

% Result   : Unsatisfiable 1.73s 0.60s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   42 (   6 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   42 (  23   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1234,plain,
    $false,
    inference(subsumption_resolution,[],[f1233,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f1233,plain,
    ~ ssList(sk4),
    inference(forward_demodulation,[],[f1232,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f1232,plain,
    ~ ssList(app(sk3,sk5)),
    inference(subsumption_resolution,[],[f1231,f198]) ).

fof(f198,plain,
    ~ segmentP(sk4,sk3),
    inference(definition_unfolding,[],[f196,f190,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f196,axiom,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f1231,plain,
    ( ~ ssList(app(sk3,sk5))
    | segmentP(sk4,sk3) ),
    inference(forward_demodulation,[],[f1230,f193]) ).

fof(f1230,plain,
    ( segmentP(app(sk3,sk5),sk3)
    | ~ ssList(app(sk3,sk5)) ),
    inference(forward_demodulation,[],[f1229,f253]) ).

fof(f253,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f200]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f1229,plain,
    ( segmentP(app(app(nil,sk3),sk5),sk3)
    | ~ ssList(app(sk3,sk5)) ),
    inference(forward_demodulation,[],[f1217,f253]) ).

fof(f1217,plain,
    ( ~ ssList(app(app(nil,sk3),sk5))
    | segmentP(app(app(nil,sk3),sk5),sk3) ),
    inference(resolution,[],[f629,f200]) ).

fof(f629,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(app(app(nil,X0),sk5))
      | segmentP(app(app(nil,X0),sk5),X0) ),
    inference(resolution,[],[f420,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f420,plain,
    ! [X10,X11] :
      ( ~ ssList(X10)
      | ~ ssList(X11)
      | segmentP(app(app(X10,X11),sk5),X11)
      | ~ ssList(app(app(X10,X11),sk5)) ),
    inference(resolution,[],[f205,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f205,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(app(X0,X1),X2),X1) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X3)
      | ~ ssList(X0)
      | app(app(X0,X1),X2) != X3
      | ~ ssList(X2)
      | segmentP(X3,X1)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SWC371-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.31  % Computer : n017.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 30 18:14:35 EDT 2022
% 0.11/0.31  % CPUTime    : 
% 0.16/0.47  % (15084)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)
% 0.16/0.48  % (15101)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)
% 0.16/0.48  % (15093)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)
% 0.16/0.49  % (15092)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)
% 0.16/0.49  % (15100)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)
% 0.16/0.49  % (15085)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50  TRYING [1]
% 0.16/0.51  % (15085)Instruction limit reached!
% 0.16/0.51  % (15085)------------------------------
% 0.16/0.51  % (15085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (15085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (15085)Termination reason: Unknown
% 0.16/0.51  % (15085)Termination phase: Saturation
% 0.16/0.51  
% 0.16/0.51  % (15085)Memory used [KB]: 5628
% 0.16/0.51  % (15085)Time elapsed: 0.081 s
% 0.16/0.51  % (15085)Instructions burned: 7 (million)
% 0.16/0.51  % (15085)------------------------------
% 0.16/0.51  % (15085)------------------------------
% 0.16/0.51  % (15082)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51  % (15086)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51  % (15086)Instruction limit reached!
% 0.16/0.51  % (15086)------------------------------
% 0.16/0.51  % (15086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (15086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (15086)Termination reason: Unknown
% 0.16/0.51  % (15086)Termination phase: Function definition elimination
% 0.16/0.51  
% 0.16/0.51  % (15086)Memory used [KB]: 1023
% 0.16/0.51  % (15086)Time elapsed: 0.004 s
% 0.16/0.51  % (15086)Instructions burned: 2 (million)
% 0.16/0.51  % (15086)------------------------------
% 0.16/0.51  % (15086)------------------------------
% 0.16/0.51  TRYING [2]
% 0.16/0.52  % (15078)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)
% 0.16/0.52  % (15081)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)
% 0.16/0.52  % (15087)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)
% 0.16/0.52  % (15083)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)
% 0.16/0.52  % (15088)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.53  % (15099)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.47/0.53  % (15079)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)
% 1.47/0.53  % (15097)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)
% 1.47/0.53  % (15080)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)
% 1.47/0.54  % (15084)Instruction limit reached!
% 1.47/0.54  % (15084)------------------------------
% 1.47/0.54  % (15084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54  % (15103)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.54  % (15089)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)
% 1.47/0.54  % (15091)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.47/0.54  % (15098)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)
% 1.47/0.54  % (15102)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.54  % (15084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54  % (15084)Termination reason: Unknown
% 1.47/0.54  % (15084)Termination phase: Finite model building constraint generation
% 1.47/0.54  
% 1.47/0.54  % (15084)Memory used [KB]: 7547
% 1.47/0.54  % (15084)Time elapsed: 0.155 s
% 1.47/0.54  % (15084)Instructions burned: 52 (million)
% 1.47/0.54  % (15084)------------------------------
% 1.47/0.54  % (15084)------------------------------
% 1.47/0.55  % (15107)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)
% 1.73/0.55  % (15090)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.73/0.55  % (15105)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)
% 1.73/0.55  % (15094)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)
% 1.73/0.56  % (15095)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.73/0.56  % (15106)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.73/0.56  % (15096)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.73/0.56  % (15079)Refutation not found, incomplete strategy% (15079)------------------------------
% 1.73/0.56  % (15079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.56  % (15079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.56  % (15079)Termination reason: Refutation not found, incomplete strategy
% 1.73/0.56  
% 1.73/0.56  % (15079)Memory used [KB]: 5884
% 1.73/0.56  % (15079)Time elapsed: 0.171 s
% 1.73/0.56  % (15079)Instructions burned: 15 (million)
% 1.73/0.56  % (15079)------------------------------
% 1.73/0.56  % (15079)------------------------------
% 1.73/0.57  % (15104)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)
% 1.73/0.57  TRYING [1]
% 1.73/0.58  % (15101)First to succeed.
% 1.73/0.60  % (15101)Refutation found. Thanks to Tanya!
% 1.73/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.73/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.60  % (15101)------------------------------
% 1.73/0.60  % (15101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60  % (15101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60  % (15101)Termination reason: Refutation
% 1.73/0.60  
% 1.73/0.60  % (15101)Memory used [KB]: 6268
% 1.73/0.60  % (15101)Time elapsed: 0.160 s
% 1.73/0.60  % (15101)Instructions burned: 53 (million)
% 1.73/0.60  % (15101)------------------------------
% 1.73/0.60  % (15101)------------------------------
% 1.73/0.60  % (15077)Success in time 0.276 s
%------------------------------------------------------------------------------