TSTP Solution File: SWC127-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC127-1 : 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 : n010.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 18:41:54 EDT 2022

% Result   : Unsatisfiable 0.15s 0.50s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   31 (  19 unt;   3 typ;   0 def)
%            Number of atoms       :   42 (   7 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  18   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_21,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_22,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_23,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f750,plain,
    $false,
    inference(subsumption_resolution,[],[f746,f255]) ).

fof(f255,plain,
    ~ singletonP(nil),
    inference(literal_reordering,[],[f11]) ).

fof(f11,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f746,plain,
    singletonP(nil),
    inference(backward_demodulation,[],[f574,f718]) ).

fof(f718,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f717,f318]) ).

fof(f318,plain,
    ssList(nil),
    inference(literal_reordering,[],[f8]) ).

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

fof(f717,plain,
    ( ~ ssList(nil)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f712,f227]) ).

fof(f227,plain,
    ssList(sk3),
    inference(literal_reordering,[],[f196]) ).

fof(f196,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

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

fof(f712,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil)
    | nil = sk3 ),
    inference(resolution,[],[f229,f575]) ).

fof(f575,plain,
    ~ neq(sk3,nil),
    inference(subsumption_resolution,[],[f250,f341]) ).

fof(f341,plain,
    segmentP(sk4,sk3),
    inference(literal_reordering,[],[f193]) ).

fof(f193,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f250,plain,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(literal_reordering,[],[f198]) ).

fof(f198,plain,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f195,f191,f190,f191]) ).

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

fof(f195,axiom,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f229,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1 ),
    inference(literal_reordering,[],[f100]) ).

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

fof(f574,plain,
    singletonP(sk3),
    inference(subsumption_resolution,[],[f345,f394]) ).

fof(f394,plain,
    neq(sk4,nil),
    inference(literal_reordering,[],[f199]) ).

fof(f199,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

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

fof(f345,plain,
    ( ~ neq(sk4,nil)
    | singletonP(sk3) ),
    inference(literal_reordering,[],[f194]) ).

fof(f194,axiom,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SWC127-1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30  % Computer : n010.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Aug 30 18:13:13 EDT 2022
% 0.10/0.30  % CPUTime    : 
% 0.15/0.44  % (20249)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)
% 0.15/0.45  % (20246)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)
% 0.15/0.46  % (20241)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)
% 0.15/0.46  % (20238)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)
% 0.15/0.47  % (20237)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)
% 0.15/0.47  % (20258)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)
% 0.15/0.47  % (20250)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)
% 0.15/0.48  % (20262)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)
% 0.15/0.48  % (20235)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)
% 0.15/0.48  % (20236)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)
% 0.15/0.48  % (20257)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)
% 0.15/0.48  % (20249)First to succeed.
% 0.15/0.49  % (20242)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.49  % (20253)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.49  % (20239)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.49  % (20247)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.49  % (20240)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)
% 0.15/0.49  % (20245)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.50  % (20249)Refutation found. Thanks to Tanya!
% 0.15/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50  % (20249)------------------------------
% 0.15/0.50  % (20249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (20249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (20249)Termination reason: Refutation
% 0.15/0.50  
% 0.15/0.50  % (20249)Memory used [KB]: 6396
% 0.15/0.50  % (20249)Time elapsed: 0.017 s
% 0.15/0.50  % (20249)Instructions burned: 16 (million)
% 0.15/0.50  % (20249)------------------------------
% 0.15/0.50  % (20249)------------------------------
% 0.15/0.50  % (20233)Success in time 0.187 s
%------------------------------------------------------------------------------