TSTP Solution File: SYN144-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN144-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n002.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 19:37:01 EDT 2022

% Result   : Unsatisfiable 1.40s 0.55s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (   7 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   70 (  41   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f419,plain,
    $false,
    inference(resolution,[],[f418,f13]) ).

fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f418,plain,
    ~ r0(e),
    inference(resolution,[],[f417,f20]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(f417,plain,
    ( ~ l0(a)
    | ~ r0(e) ),
    inference(resolution,[],[f411,f28]) ).

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).

fof(f411,plain,
    ( ~ k0(e)
    | ~ r0(e)
    | ~ l0(a) ),
    inference(resolution,[],[f390,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f390,plain,
    ! [X0,X1] :
      ( ~ n0(X0,X1)
      | ~ k0(e)
      | ~ r0(e)
      | ~ l0(a) ),
    inference(resolution,[],[f387,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f387,plain,
    ! [X4] :
      ( ~ k1(X4)
      | ~ k0(e)
      | ~ l0(a)
      | ~ r0(e) ),
    inference(resolution,[],[f381,f59]) ).

fof(f59,axiom,
    ! [X2,X3] :
      ( m1(X2,X3,X2)
      | ~ k0(X3)
      | ~ l0(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).

fof(f381,plain,
    ! [X2] :
      ( ~ m1(a,e,a)
      | ~ k1(X2)
      | ~ r0(e) ),
    inference(resolution,[],[f378,f214]) ).

fof(f214,axiom,
    ! [X8,X7] :
      ( p2(X7,X8,X7)
      | ~ m1(X8,X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).

fof(f378,plain,
    ! [X0] :
      ( ~ p2(e,a,e)
      | ~ r0(e)
      | ~ k1(X0) ),
    inference(resolution,[],[f377,f193]) ).

fof(f193,axiom,
    ! [X2,X3,X5] :
      ( p2(X5,X2,X2)
      | ~ k1(X3)
      | ~ p2(e,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_155) ).

fof(f377,plain,
    ! [X0] :
      ( ~ p2(a,X0,e)
      | ~ r0(e) ),
    inference(resolution,[],[f376,f305]) ).

fof(f305,axiom,
    ! [X11,X6,X7] :
      ( r3(X11,X6,X11)
      | ~ p2(X11,X7,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_267) ).

fof(f376,plain,
    ( ~ r3(a,e,a)
    | ~ r0(e) ),
    inference(duplicate_literal_removal,[],[f375]) ).

fof(f375,plain,
    ( ~ r0(e)
    | ~ r0(e)
    | ~ r3(a,e,a) ),
    inference(resolution,[],[f323,f374]) ).

fof(f374,plain,
    ! [X0] :
      ( ~ p4(e,X0,a)
      | ~ r0(e) ),
    inference(resolution,[],[f341,f369]) ).

fof(f369,axiom,
    ~ m5(e,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f341,axiom,
    ! [X8,X9,X7] :
      ( m5(X7,X8)
      | ~ r0(X7)
      | ~ p4(X7,X9,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_303) ).

fof(f323,axiom,
    ! [X4,X5] :
      ( p4(X4,X4,X5)
      | ~ r0(X4)
      | ~ r3(X5,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_285) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN144-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % 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 : n002.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 21:49:44 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.51  % (23126)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)
% 0.21/0.51  % (23115)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)
% 0.21/0.51  % (23111)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)
% 0.21/0.51  % (23132)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)
% 0.21/0.52  % (23139)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)
% 0.21/0.52  % (23124)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)
% 0.21/0.52  % (23113)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)
% 0.21/0.52  % (23117)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53  % (23110)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)
% 0.21/0.53  % (23116)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)
% 0.21/0.53  % (23119)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)
% 0.21/0.53  % (23117)Instruction limit reached!
% 0.21/0.53  % (23117)------------------------------
% 0.21/0.53  % (23117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (23134)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.54  % (23128)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54  % (23117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (23117)Termination reason: Unknown
% 1.40/0.54  % (23117)Termination phase: Saturation
% 1.40/0.54  
% 1.40/0.54  % (23117)Memory used [KB]: 6396
% 1.40/0.54  % (23117)Time elapsed: 0.008 s
% 1.40/0.54  % (23117)Instructions burned: 8 (million)
% 1.40/0.54  % (23117)------------------------------
% 1.40/0.54  % (23117)------------------------------
% 1.40/0.54  % (23136)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)
% 1.40/0.54  % (23114)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.54  % (23133)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)
% 1.40/0.54  % (23112)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)
% 1.40/0.54  % (23138)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.40/0.55  % (23135)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.55  % (23131)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.55  % (23130)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)
% 1.40/0.55  % (23119)First to succeed.
% 1.40/0.55  % (23119)Refutation found. Thanks to Tanya!
% 1.40/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.40/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.55  % (23119)------------------------------
% 1.40/0.55  % (23119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55  % (23119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55  % (23119)Termination reason: Refutation
% 1.40/0.55  
% 1.40/0.55  % (23119)Memory used [KB]: 1407
% 1.40/0.55  % (23119)Time elapsed: 0.141 s
% 1.40/0.55  % (23119)Instructions burned: 9 (million)
% 1.40/0.55  % (23119)------------------------------
% 1.40/0.55  % (23119)------------------------------
% 1.40/0.55  % (23109)Success in time 0.197 s
%------------------------------------------------------------------------------