TSTP Solution File: SYN181-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN181-1 : 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 : n029.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 19:37:07 EDT 2022

% Result   : Unsatisfiable 2.42s 0.68s
% Output   : Refutation 2.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (  11 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   69 (  39   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1281,plain,
    $false,
    inference(resolution,[],[f1279,f10]) ).

fof(f10,axiom,
    p0(b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f1279,plain,
    ! [X14] : ~ p0(X14,d),
    inference(resolution,[],[f1270,f820]) ).

fof(f820,plain,
    k3(d,d,d),
    inference(resolution,[],[f815,f1]) ).

fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f815,plain,
    ! [X5] :
      ( ~ s0(X5)
      | k3(X5,X5,X5) ),
    inference(resolution,[],[f456,f377]) ).

fof(f377,plain,
    l1(d,d),
    inference(resolution,[],[f40,f34]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f456,plain,
    ! [X2,X0,X1] :
      ( ~ l1(X0,X1)
      | ~ s0(X2)
      | k3(X2,X2,X2) ),
    inference(resolution,[],[f173,f250]) ).

fof(f250,axiom,
    ! [X11] :
      ( ~ m2(X11)
      | k3(X11,X11,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_212) ).

fof(f173,axiom,
    ! [X9,X4,X5] :
      ( m2(X9)
      | ~ l1(X4,X5)
      | ~ s0(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_135) ).

fof(f1270,plain,
    ! [X0,X1] :
      ( ~ k3(X0,X0,d)
      | ~ p0(X1,d) ),
    inference(resolution,[],[f1269,f9]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f1269,plain,
    ! [X2,X0,X1] :
      ( ~ r0(X1)
      | ~ k3(X0,X0,d)
      | ~ p0(X2,d) ),
    inference(subsumption_resolution,[],[f1268,f19]) ).

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

fof(f1268,plain,
    ! [X2,X0,X1] :
      ( ~ k3(X0,X0,d)
      | ~ p0(X2,d)
      | ~ r0(X1)
      | ~ m0(b,d,X2) ),
    inference(resolution,[],[f1267,f41]) ).

fof(f41,axiom,
    ! [X8,X6,X9,X7] :
      ( l1(X6,X7)
      | ~ r0(X9)
      | ~ p0(X8,X6)
      | ~ m0(X7,X6,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).

fof(f1267,plain,
    ! [X0] :
      ( ~ l1(d,b)
      | ~ k3(X0,X0,d) ),
    inference(resolution,[],[f1266,f224]) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( q2(X4,X4,X5)
      | ~ l1(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).

fof(f1266,plain,
    ! [X6,X7] :
      ( ~ q2(X6,b,d)
      | ~ k3(X7,X7,d) ),
    inference(subsumption_resolution,[],[f1265,f704]) ).

fof(f704,plain,
    ! [X0] : p2(X0,X0,X0),
    inference(resolution,[],[f510,f19]) ).

fof(f510,plain,
    ! [X2,X3,X1] :
      ( ~ m0(X2,X3,X1)
      | p2(X1,X1,X1) ),
    inference(resolution,[],[f188,f52]) ).

fof(f52,axiom,
    ! [X8,X9,X4] :
      ( m1(X8,X8,X8)
      | ~ m0(X9,X4,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_014) ).

fof(f188,axiom,
    ! [X9,X4] :
      ( ~ m1(X4,X4,X9)
      | p2(X9,X9,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).

fof(f1265,plain,
    ! [X6,X7] :
      ( ~ k3(X7,X7,d)
      | ~ q2(X6,b,d)
      | ~ p2(X6,X6,X6) ),
    inference(resolution,[],[f1260,f276]) ).

fof(f276,axiom,
    ! [X2] :
      ( m3(X2,X2,X2)
      | ~ p2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_238) ).

fof(f1260,plain,
    ! [X2,X0,X1] :
      ( ~ m3(X1,X2,X1)
      | ~ q2(X1,b,d)
      | ~ k3(X0,X0,d) ),
    inference(resolution,[],[f333,f369]) ).

fof(f369,axiom,
    ~ q4(d,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f333,axiom,
    ! [X11,X8,X6,X9,X7] :
      ( q4(X11,X6)
      | ~ k3(X7,X7,X11)
      | ~ q2(X8,X6,X11)
      | ~ m3(X8,X9,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_295) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN181-1 : TPTP v8.1.0. Released v1.1.0.
% 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
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:45:42 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.56  % (20523)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58  % (20531)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.59  % (20529)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.59  % (20541)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)
% 0.21/0.59  % (20548)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)
% 0.21/0.60  % (20540)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.61  % (20525)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)
% 0.21/0.61  % (20522)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)
% 0.21/0.61  % (20521)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)
% 0.21/0.61  % (20542)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)
% 0.21/0.62  % (20534)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)
% 0.21/0.62  % (20520)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)
% 1.84/0.62  % (20524)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)
% 1.84/0.63  % (20547)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.84/0.63  % (20545)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)
% 1.84/0.63  % (20519)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)
% 1.84/0.63  % (20546)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)
% 1.84/0.63  % (20536)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.84/0.63  % (20526)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.84/0.64  % (20539)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)
% 1.84/0.64  % (20538)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)
% 1.84/0.64  % (20537)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.84/0.64  % (20528)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)
% 1.84/0.65  % (20533)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)
% 2.18/0.65  % (20530)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)
% 2.18/0.65  % (20532)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.18/0.65  % (20541)First to succeed.
% 2.18/0.65  % (20544)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.18/0.65  % (20526)Instruction limit reached!
% 2.18/0.65  % (20526)------------------------------
% 2.18/0.65  % (20526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.65  % (20526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.65  % (20526)Termination reason: Unknown
% 2.18/0.65  % (20526)Termination phase: Saturation
% 2.18/0.65  
% 2.18/0.65  % (20526)Memory used [KB]: 6268
% 2.18/0.65  % (20526)Time elapsed: 0.013 s
% 2.18/0.65  % (20526)Instructions burned: 7 (million)
% 2.18/0.65  % (20526)------------------------------
% 2.18/0.65  % (20526)------------------------------
% 2.18/0.65  % (20535)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)
% 2.18/0.66  % (20543)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.18/0.67  % (20523)Instruction limit reached!
% 2.18/0.67  % (20523)------------------------------
% 2.18/0.67  % (20523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.68  % (20541)Refutation found. Thanks to Tanya!
% 2.42/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.42/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.42/0.68  % (20541)------------------------------
% 2.42/0.68  % (20541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.68  % (20541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.68  % (20541)Termination reason: Refutation
% 2.42/0.68  
% 2.42/0.68  % (20541)Memory used [KB]: 1791
% 2.42/0.68  % (20541)Time elapsed: 0.207 s
% 2.42/0.68  % (20541)Instructions burned: 37 (million)
% 2.42/0.68  % (20541)------------------------------
% 2.42/0.68  % (20541)------------------------------
% 2.42/0.68  % (20518)Success in time 0.316 s
%------------------------------------------------------------------------------