TSTP Solution File: SWC419-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC419-1 : 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 : n020.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 18:43:45 EDT 2022

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   43 (  21 unt;   0 def)
%            Number of atoms       :   79 (  36 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   80 (  44   ~;  36   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f409,plain,
    $false,
    inference(subsumption_resolution,[],[f408,f328]) ).

fof(f328,plain,
    sk1 = app(sk1,nil),
    inference(resolution,[],[f73,f186]) ).

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

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f408,plain,
    sk1 != app(sk1,nil),
    inference(subsumption_resolution,[],[f407,f244]) ).

fof(f244,plain,
    sk2 = app(sF0,sk6),
    inference(backward_demodulation,[],[f226,f243]) ).

fof(f243,plain,
    sk2 = sF2,
    inference(forward_demodulation,[],[f242,f190]) ).

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

fof(f242,plain,
    sk4 = sF2,
    inference(subsumption_resolution,[],[f238,f192]) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f238,plain,
    ( ~ neq(sk2,nil)
    | sk4 = sF2 ),
    inference(backward_demodulation,[],[f227,f190]) ).

fof(f227,plain,
    ( ~ neq(sk4,nil)
    | sk4 = sF2 ),
    inference(definition_folding,[],[f197,f226,f223]) ).

fof(f223,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[]) ).

fof(f197,axiom,
    ( sk4 = app(cons(sk5,nil),sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f226,plain,
    app(sF0,sk6) = sF2,
    introduced(function_definition,[]) ).

fof(f407,plain,
    ( sk2 != app(sF0,sk6)
    | sk1 != app(sk1,nil) ),
    inference(subsumption_resolution,[],[f405,f239]) ).

fof(f239,plain,
    ssList(sk6),
    inference(subsumption_resolution,[],[f236,f192]) ).

fof(f236,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk6) ),
    inference(backward_demodulation,[],[f196,f190]) ).

fof(f196,axiom,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f405,plain,
    ( ~ ssList(sk6)
    | sk1 != app(sk1,nil)
    | sk2 != app(sF0,sk6) ),
    inference(superposition,[],[f402,f246]) ).

fof(f246,plain,
    sk1 = app(sk6,sF0),
    inference(backward_demodulation,[],[f241,f191]) ).

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

fof(f241,plain,
    sk3 = app(sk6,sF0),
    inference(backward_demodulation,[],[f224,f240]) ).

fof(f240,plain,
    sk3 = sF1,
    inference(subsumption_resolution,[],[f237,f192]) ).

fof(f237,plain,
    ( sk3 = sF1
    | ~ neq(sk2,nil) ),
    inference(backward_demodulation,[],[f225,f190]) ).

fof(f225,plain,
    ( sk3 = sF1
    | ~ neq(sk4,nil) ),
    inference(definition_folding,[],[f198,f224,f223]) ).

fof(f198,axiom,
    ( sk3 = app(sk6,cons(sk5,nil))
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f224,plain,
    sF1 = app(sk6,sF0),
    introduced(function_definition,[]) ).

fof(f402,plain,
    ! [X0] :
      ( sk1 != app(app(X0,sF0),nil)
      | ~ ssList(X0)
      | sk2 != app(sF0,X0) ),
    inference(subsumption_resolution,[],[f400,f8]) ).

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

fof(f400,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | sk1 != app(app(X0,sF0),nil)
      | sk2 != app(sF0,X0) ),
    inference(superposition,[],[f252,f393]) ).

fof(f393,plain,
    app(nil,sF0) = sF0,
    inference(resolution,[],[f392,f74]) ).

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

fof(f392,plain,
    ssList(sF0),
    inference(subsumption_resolution,[],[f391,f245]) ).

fof(f245,plain,
    ssItem(sk5),
    inference(subsumption_resolution,[],[f235,f192]) ).

fof(f235,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(backward_demodulation,[],[f195,f190]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f391,plain,
    ( ~ ssItem(sk5)
    | ssList(sF0) ),
    inference(subsumption_resolution,[],[f390,f8]) ).

fof(f390,plain,
    ( ~ ssList(nil)
    | ssList(sF0)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f86,f223]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f252,plain,
    ! [X0,X1] :
      ( sk2 != app(app(X0,sF0),X1)
      | ~ ssList(X0)
      | sk1 != app(app(X1,sF0),X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f251,f245]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( ~ ssItem(sk5)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | sk2 != app(app(X0,sF0),X1)
      | sk1 != app(app(X1,sF0),X0) ),
    inference(superposition,[],[f193,f223]) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( sk2 != app(app(X7,cons(X6,nil)),X8)
      | sk1 != app(app(X8,cons(X6,nil)),X7)
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | ~ ssList(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC419-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 18:57:00 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.51  % (2442)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51  % (2442)Instruction limit reached!
% 0.21/0.51  % (2442)------------------------------
% 0.21/0.51  % (2442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (2442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (2442)Termination reason: Unknown
% 0.21/0.51  % (2442)Termination phase: Function definition elimination
% 0.21/0.51  
% 0.21/0.51  % (2442)Memory used [KB]: 1023
% 0.21/0.51  % (2442)Time elapsed: 0.004 s
% 0.21/0.51  % (2442)Instructions burned: 2 (million)
% 0.21/0.51  % (2442)------------------------------
% 0.21/0.51  % (2442)------------------------------
% 0.21/0.52  % (2436)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)
% 0.21/0.52  % (2434)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)
% 0.21/0.52  % (2450)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)
% 0.21/0.52  % (2440)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)
% 0.21/0.54  % (2438)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (2437)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)
% 0.21/0.54  % (2459)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54  % (2439)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)
% 0.21/0.54  % (2444)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (2435)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)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  % (2454)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)
% 0.21/0.55  % (2453)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)
% 0.21/0.55  % (2458)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55  % (2455)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55  % (2451)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  TRYING [2]
% 0.21/0.55  TRYING [1]
% 0.21/0.55  % (2457)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)
% 0.21/0.55  % (2452)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55  % (2463)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)
% 0.21/0.55  % (2447)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55  % (2448)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)
% 0.21/0.55  % (2446)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.56  % (2443)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)
% 0.21/0.56  % (2462)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.56  % (2460)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)
% 0.21/0.56  % (2461)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)
% 0.21/0.56  % (2449)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)
% 0.21/0.56  % (2456)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)
% 0.21/0.56  % (2441)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56  % (2441)Instruction limit reached!
% 0.21/0.56  % (2441)------------------------------
% 0.21/0.56  % (2441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (2441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (2441)Termination reason: Unknown
% 0.21/0.56  % (2441)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.57  % (2441)Memory used [KB]: 5628
% 0.21/0.57  % (2441)Time elapsed: 0.157 s
% 0.21/0.57  % (2441)Instructions burned: 7 (million)
% 0.21/0.57  % (2441)------------------------------
% 0.21/0.57  % (2441)------------------------------
% 0.21/0.57  % (2435)Refutation not found, incomplete strategy% (2435)------------------------------
% 0.21/0.57  % (2435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (2435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (2435)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57  
% 0.21/0.57  % (2435)Memory used [KB]: 6012
% 0.21/0.57  % (2435)Time elapsed: 0.166 s
% 0.21/0.57  % (2435)Instructions burned: 18 (million)
% 0.21/0.57  % (2435)------------------------------
% 0.21/0.57  % (2435)------------------------------
% 0.21/0.57  TRYING [2]
% 0.21/0.58  TRYING [3]
% 0.21/0.59  % (2445)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)
% 0.21/0.59  % (2461)First to succeed.
% 0.21/0.59  % (2449)Also succeeded, but the first one will report.
% 0.21/0.59  % (2461)Refutation found. Thanks to Tanya!
% 0.21/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59  % (2461)------------------------------
% 0.21/0.59  % (2461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (2461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (2461)Termination reason: Refutation
% 0.21/0.59  
% 0.21/0.59  % (2461)Memory used [KB]: 1407
% 0.21/0.59  % (2461)Time elapsed: 0.183 s
% 0.21/0.59  % (2461)Instructions burned: 16 (million)
% 0.21/0.59  % (2461)------------------------------
% 0.21/0.59  % (2461)------------------------------
% 0.21/0.59  % (2433)Success in time 0.229 s
%------------------------------------------------------------------------------