TSTP Solution File: SYN110-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN110-1 : 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 : n026.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 2.26s 0.66s
% Output   : Refutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (  11 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  25   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1235,plain,
    $false,
    inference(resolution,[],[f1226,f881]) ).

fof(f881,plain,
    ! [X10] : q1(e,X10,X10),
    inference(subsumption_resolution,[],[f880,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

fof(f880,plain,
    ! [X10] :
      ( ~ m0(e,d,X10)
      | q1(e,X10,X10) ),
    inference(subsumption_resolution,[],[f145,f19]) ).

fof(f145,axiom,
    ! [X10] :
      ( ~ m0(X10,d,X10)
      | q1(e,X10,X10)
      | ~ m0(e,d,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_107) ).

fof(f1226,plain,
    ! [X0] : ~ q1(X0,a,a),
    inference(resolution,[],[f1225,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

fof(f1225,plain,
    ! [X0,X1] :
      ( ~ n0(X1,a)
      | ~ q1(X0,a,a) ),
    inference(resolution,[],[f1224,f39]) ).

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

fof(f1224,plain,
    ! [X0] :
      ( ~ k1(a)
      | ~ q1(X0,a,a) ),
    inference(resolution,[],[f1223,f167]) ).

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

fof(f1223,plain,
    ! [X0] :
      ( ~ k2(X0,a)
      | ~ k1(X0) ),
    inference(subsumption_resolution,[],[f1221,f369]) ).

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

fof(f1221,plain,
    ! [X0] :
      ( ~ k2(X0,a)
      | k2(c,a)
      | ~ k1(X0) ),
    inference(resolution,[],[f1213,f165]) ).

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

fof(f1213,plain,
    m1(d,a,c),
    inference(subsumption_resolution,[],[f1206,f379]) ).

fof(f379,plain,
    m1(c,c,c),
    inference(subsumption_resolution,[],[f58,f24]) ).

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

fof(f58,axiom,
    ( m1(c,c,c)
    | ~ l0(c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_020) ).

fof(f1206,plain,
    ( ~ m1(c,c,c)
    | m1(d,a,c) ),
    inference(resolution,[],[f1203,f33]) ).

fof(f33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).

fof(f1203,plain,
    ! [X9,X4] :
      ( ~ q0(X9,X4)
      | ~ m1(X4,c,X4)
      | m1(X9,a,X4) ),
    inference(subsumption_resolution,[],[f62,f12]) ).

fof(f12,axiom,
    ! [X0] : m0(a,X0,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f62,axiom,
    ! [X9,X4,X5] :
      ( ~ m1(X4,c,X4)
      | ~ q0(X9,X4)
      | ~ m0(a,X5,a)
      | m1(X9,a,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_024) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN110-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:45:36 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.54  % (12711)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)
% 0.20/0.54  % (12703)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)
% 0.20/0.55  % (12700)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (12695)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (12717)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)
% 0.20/0.55  % (12701)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56  % (12710)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)
% 0.20/0.56  % (12690)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)
% 0.20/0.56  % (12695)Instruction limit reached!
% 0.20/0.56  % (12695)------------------------------
% 0.20/0.56  % (12695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (12695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (12695)Termination reason: Unknown
% 0.20/0.56  % (12695)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (12695)Memory used [KB]: 6268
% 0.20/0.56  % (12695)Time elapsed: 0.013 s
% 0.20/0.56  % (12695)Instructions burned: 7 (million)
% 0.20/0.56  % (12695)------------------------------
% 0.20/0.56  % (12695)------------------------------
% 0.20/0.57  % (12691)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)
% 0.20/0.57  % (12709)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.58  % (12689)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)
% 0.20/0.58  % (12692)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59  % (12694)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)
% 0.20/0.59  % (12688)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)
% 0.20/0.59  % (12693)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)
% 0.20/0.59  % (12702)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)
% 0.20/0.60  % (12704)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)
% 0.20/0.60  % (12707)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)
% 0.20/0.60  % (12706)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.60  % (12696)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.60  % (12698)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.60  % (12712)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.60  % (12708)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)
% 0.20/0.60  % (12699)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)
% 0.20/0.61  % (12715)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)
% 0.20/0.61  % (12714)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)
% 0.20/0.61  % (12696)Instruction limit reached!
% 0.20/0.61  % (12696)------------------------------
% 0.20/0.61  % (12696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (12716)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.62  % (12696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62  % (12696)Termination reason: Unknown
% 0.20/0.62  % (12696)Termination phase: Blocked clause elimination
% 0.20/0.62  
% 0.20/0.62  % (12696)Memory used [KB]: 1407
% 0.20/0.62  % (12696)Time elapsed: 0.004 s
% 0.20/0.62  % (12696)Instructions burned: 2 (million)
% 0.20/0.62  % (12696)------------------------------
% 0.20/0.62  % (12696)------------------------------
% 0.20/0.62  % (12713)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.62  % (12705)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.63  % (12697)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)
% 1.89/0.64  % (12710)First to succeed.
% 2.26/0.66  % (12710)Refutation found. Thanks to Tanya!
% 2.26/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.26/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.66  % (12710)------------------------------
% 2.26/0.66  % (12710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66  % (12710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.66  % (12710)Termination reason: Refutation
% 2.26/0.66  
% 2.26/0.66  % (12710)Memory used [KB]: 1663
% 2.26/0.66  % (12710)Time elapsed: 0.219 s
% 2.26/0.66  % (12710)Instructions burned: 36 (million)
% 2.26/0.66  % (12710)------------------------------
% 2.26/0.66  % (12710)------------------------------
% 2.26/0.66  % (12687)Success in time 0.312 s
%------------------------------------------------------------------------------