TSTP Solution File: SYN111-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN111-1 : 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 : n024.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 19:36:55 EDT 2022

% Result   : Unsatisfiable 1.52s 0.57s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   6 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   68 (  39   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f460,plain,
    $false,
    inference(resolution,[],[f459,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

fof(f459,plain,
    ~ l0(c),
    inference(resolution,[],[f458,f32]) ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).

fof(f458,plain,
    ( ~ k0(b)
    | ~ l0(c) ),
    inference(resolution,[],[f455,f15]) ).

fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f455,plain,
    ! [X0] :
      ( ~ n0(X0,b)
      | ~ l0(c)
      | ~ k0(b) ),
    inference(resolution,[],[f453,f39]) ).

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

fof(f453,plain,
    ( ~ k1(b)
    | ~ k0(b)
    | ~ l0(c) ),
    inference(condensation,[],[f452]) ).

fof(f452,plain,
    ! [X3] :
      ( ~ k0(b)
      | ~ l0(X3)
      | ~ k1(b)
      | ~ l0(c) ),
    inference(duplicate_literal_removal,[],[f433]) ).

fof(f433,plain,
    ! [X3] :
      ( ~ l0(X3)
      | ~ k0(b)
      | ~ k1(b)
      | ~ l0(c)
      | ~ k0(b) ),
    inference(resolution,[],[f383,f140]) ).

fof(f140,axiom,
    ! [X3,X10] :
      ( q1(X3,X3,X3)
      | ~ l0(X10)
      | ~ k0(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_102) ).

fof(f383,plain,
    ! [X0] :
      ( ~ q1(X0,b,b)
      | ~ l0(c)
      | ~ k1(b)
      | ~ k0(b) ),
    inference(resolution,[],[f378,f167]) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( k2(X3,X3)
      | ~ q1(X10,X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_129) ).

fof(f378,plain,
    ! [X4] :
      ( ~ k2(X4,b)
      | ~ k0(b)
      | ~ k1(X4)
      | ~ l0(c) ),
    inference(resolution,[],[f374,f59]) ).

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

fof(f374,plain,
    ! [X0,X1] :
      ( ~ m1(X0,b,c)
      | ~ k2(X1,b)
      | ~ k1(X1) ),
    inference(resolution,[],[f165,f369]) ).

fof(f369,axiom,
    ~ k2(c,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( k2(X6,X7)
      | ~ m1(X8,X7,X6)
      | ~ k1(X9)
      | ~ k2(X9,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_127) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN111-1 : 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 : n024.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 21:33:49 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (11346)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)
% 0.19/0.50  % (11330)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (11330)Instruction limit reached!
% 0.19/0.50  % (11330)------------------------------
% 0.19/0.50  % (11330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (11338)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)
% 0.19/0.51  % (11330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (11330)Termination reason: Unknown
% 0.19/0.51  % (11330)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (11330)Memory used [KB]: 6268
% 0.19/0.51  % (11330)Time elapsed: 0.009 s
% 0.19/0.51  % (11330)Instructions burned: 7 (million)
% 0.19/0.51  % (11330)------------------------------
% 0.19/0.51  % (11330)------------------------------
% 0.19/0.51  % (11323)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)
% 0.19/0.53  % (11325)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)
% 0.19/0.53  % (11333)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (11332)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)
% 0.19/0.54  % (11328)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)
% 0.19/0.54  % (11347)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.35/0.54  % (11334)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)
% 1.35/0.54  % (11352)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)
% 1.35/0.54  % (11337)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  % (11339)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)
% 1.35/0.55  % (11344)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.35/0.55  % (11327)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.55  % (11349)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)
% 1.35/0.55  % (11329)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)
% 1.35/0.55  % (11351)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.55  % (11336)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.35/0.55  % (11340)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.35/0.55  % (11348)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  % (11326)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)
% 1.35/0.55  % (11345)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)
% 1.35/0.56  % (11324)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)
% 1.35/0.56  % (11335)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.35/0.56  % (11331)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.35/0.56  % (11331)Instruction limit reached!
% 1.35/0.56  % (11331)------------------------------
% 1.35/0.56  % (11331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.56  % (11331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.56  % (11331)Termination reason: Unknown
% 1.35/0.56  % (11331)Termination phase: Blocked clause elimination
% 1.35/0.56  
% 1.35/0.56  % (11331)Memory used [KB]: 1407
% 1.35/0.56  % (11331)Time elapsed: 0.003 s
% 1.35/0.56  % (11331)Instructions burned: 3 (million)
% 1.35/0.56  % (11331)------------------------------
% 1.35/0.56  % (11331)------------------------------
% 1.52/0.56  % (11343)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)
% 1.52/0.56  % (11350)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)
% 1.52/0.56  % (11332)First to succeed.
% 1.52/0.57  % (11332)Refutation found. Thanks to Tanya!
% 1.52/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.52/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.57  % (11332)------------------------------
% 1.52/0.57  % (11332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57  % (11332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57  % (11332)Termination reason: Refutation
% 1.52/0.57  
% 1.52/0.57  % (11332)Memory used [KB]: 1535
% 1.52/0.57  % (11332)Time elapsed: 0.138 s
% 1.52/0.57  % (11332)Instructions burned: 10 (million)
% 1.52/0.57  % (11332)------------------------------
% 1.52/0.57  % (11332)------------------------------
% 1.52/0.57  % (11322)Success in time 0.211 s
%------------------------------------------------------------------------------