TSTP Solution File: SWC076-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC076-1 : 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 18:41:34 EDT 2022

% Result   : Unsatisfiable 1.35s 0.61s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   76 (  16 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   95 (  51   ~;  44   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f788,plain,
    $false,
    inference(subsumption_resolution,[],[f787,f193]) ).

fof(f193,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f787,plain,
    ~ ssList(sk5),
    inference(subsumption_resolution,[],[f786,f201]) ).

fof(f201,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f786,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f785,f460]) ).

fof(f460,plain,
    ~ segmentP(sk4,sk3),
    inference(subsumption_resolution,[],[f459,f8]) ).

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

fof(f459,plain,
    ( ~ ssList(nil)
    | ~ segmentP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f458,f237]) ).

fof(f237,plain,
    nil != sk3,
    inference(subsumption_resolution,[],[f199,f202]) ).

fof(f202,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f190,f191]) ).

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

fof(f200,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f199,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f458,plain,
    ( ~ segmentP(sk4,sk3)
    | nil = sk3
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f457,f242]) ).

fof(f242,plain,
    segmentP(sk3,sk3),
    inference(resolution,[],[f57,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f57,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f457,plain,
    ( ~ segmentP(sk3,sk3)
    | nil = sk3
    | ~ ssList(nil)
    | ~ segmentP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f456,f188]) ).

fof(f456,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil)
    | nil = sk3
    | ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(resolution,[],[f405,f204]) ).

fof(f204,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6) ),
    inference(definition_unfolding,[],[f192,f191,f190]) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ neq(X6,nil)
      | ~ segmentP(sk2,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f405,plain,
    ! [X43] :
      ( neq(sk3,X43)
      | sk3 = X43
      | ~ ssList(X43) ),
    inference(resolution,[],[f100,f188]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f785,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f784,f194]) ).

fof(f194,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f784,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk5)
    | ~ ssList(sk4)
    | segmentP(sk4,sk3) ),
    inference(subsumption_resolution,[],[f779,f188]) ).

fof(f779,plain,
    ( ~ ssList(sk3)
    | segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk6)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f224,f195]) ).

fof(f195,axiom,
    sk4 = app(app(sk5,sk3),sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC076-1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.13/0.34  % Computer : n017.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 17:33:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (15327)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.20/0.52  % (15335)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.20/0.52  % (15318)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)
% 1.20/0.53  % (15317)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.20/0.53  % (15337)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)
% 1.20/0.53  % (15313)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)
% 1.35/0.53  % (15326)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.35/0.53  % (15319)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)
% 1.35/0.53  % (15315)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)
% 1.35/0.53  % (15325)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)
% 1.35/0.53  % (15324)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.54  % (15322)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.35/0.54  % (15329)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)
% 1.35/0.54  % (15328)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)
% 1.35/0.54  % (15323)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)
% 1.35/0.54  % (15316)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)
% 1.35/0.54  % (15342)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.54  % (15336)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)
% 1.35/0.54  % (15320)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.55  % (15339)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.35/0.55  % (15341)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)
% 1.35/0.55  % (15338)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.35/0.55  % (15343)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)
% 1.35/0.55  % (15332)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.55  % (15333)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)
% 1.35/0.55  % (15314)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)
% 1.35/0.55  % (15330)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)
% 1.35/0.56  % (15334)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)
% 1.35/0.56  % (15331)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.35/0.56  TRYING [1]
% 1.35/0.56  % (15322)Instruction limit reached!
% 1.35/0.56  % (15322)------------------------------
% 1.35/0.56  % (15322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.56  % (15322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.56  % (15322)Termination reason: Unknown
% 1.35/0.56  % (15322)Termination phase: Function definition elimination
% 1.35/0.56  
% 1.35/0.56  % (15322)Memory used [KB]: 1023
% 1.35/0.56  % (15322)Time elapsed: 0.002 s
% 1.35/0.56  % (15322)Instructions burned: 2 (million)
% 1.35/0.56  % (15322)------------------------------
% 1.35/0.56  % (15322)------------------------------
% 1.35/0.56  % (15320)Instruction limit reached!
% 1.35/0.56  % (15320)------------------------------
% 1.35/0.56  % (15320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.56  % (15320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.56  % (15320)Termination reason: Unknown
% 1.35/0.56  % (15320)Termination phase: Saturation
% 1.35/0.56  
% 1.35/0.56  % (15320)Memory used [KB]: 5628
% 1.35/0.56  % (15320)Time elapsed: 0.105 s
% 1.35/0.56  % (15320)Instructions burned: 7 (million)
% 1.35/0.56  % (15320)------------------------------
% 1.35/0.56  % (15320)------------------------------
% 1.35/0.56  TRYING [1]
% 1.35/0.56  TRYING [2]
% 1.35/0.57  % (15340)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)
% 1.35/0.58  % (15318)Instruction limit reached!
% 1.35/0.58  % (15318)------------------------------
% 1.35/0.58  % (15318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.58  % (15314)Refutation not found, incomplete strategy% (15314)------------------------------
% 1.35/0.58  % (15314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.58  % (15314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.58  % (15314)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.58  
% 1.35/0.58  % (15314)Memory used [KB]: 5884
% 1.35/0.58  % (15314)Time elapsed: 0.156 s
% 1.35/0.58  % (15314)Instructions burned: 15 (million)
% 1.35/0.58  % (15314)------------------------------
% 1.35/0.58  % (15314)------------------------------
% 1.35/0.58  TRYING [2]
% 1.35/0.58  % (15318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.58  % (15318)Termination reason: Unknown
% 1.35/0.58  % (15318)Termination phase: Saturation
% 1.35/0.58  
% 1.35/0.58  % (15318)Memory used [KB]: 6268
% 1.35/0.58  % (15318)Time elapsed: 0.155 s
% 1.35/0.58  % (15318)Instructions burned: 48 (million)
% 1.35/0.58  % (15318)------------------------------
% 1.35/0.58  % (15318)------------------------------
% 1.35/0.59  TRYING [1]
% 1.35/0.59  TRYING [2]
% 1.35/0.61  % (15317)Instruction limit reached!
% 1.35/0.61  % (15317)------------------------------
% 1.35/0.61  % (15317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.61  TRYING [3]
% 1.35/0.61  % (15319)Instruction limit reached!
% 1.35/0.61  % (15319)------------------------------
% 1.35/0.61  % (15319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.61  % (15319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.61  % (15319)Termination reason: Unknown
% 1.35/0.61  % (15319)Termination phase: Finite model building constraint generation
% 1.35/0.61  
% 1.35/0.61  % (15319)Memory used [KB]: 7164
% 1.35/0.61  % (15319)Time elapsed: 0.162 s
% 1.35/0.61  % (15319)Instructions burned: 51 (million)
% 1.35/0.61  % (15319)------------------------------
% 1.35/0.61  % (15319)------------------------------
% 1.35/0.61  % (15315)First to succeed.
% 1.35/0.61  % (15315)Refutation found. Thanks to Tanya!
% 1.35/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.35/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.61  % (15315)------------------------------
% 1.35/0.61  % (15315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.61  % (15315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.61  % (15315)Termination reason: Refutation
% 1.35/0.61  
% 1.35/0.61  % (15315)Memory used [KB]: 1663
% 1.35/0.61  % (15315)Time elapsed: 0.201 s
% 1.35/0.61  % (15315)Instructions burned: 35 (million)
% 1.35/0.61  % (15315)------------------------------
% 1.35/0.61  % (15315)------------------------------
% 1.35/0.61  % (15310)Success in time 0.258 s
%------------------------------------------------------------------------------