TSTP Solution File: SYN213-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN213-1 : 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 : n022.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 19:37:12 EDT 2022

% Result   : Unsatisfiable 1.60s 0.56s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   34 (  10 unt;   0 def)
%            Number of atoms       :   78 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  106 (  62   ~;  44   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f443,plain,
    $false,
    inference(resolution,[],[f440,f7]) ).

fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f440,plain,
    ! [X0] : ~ n0(X0,b),
    inference(resolution,[],[f429,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f429,plain,
    ~ k1(b),
    inference(resolution,[],[f424,f197]) ).

fof(f197,axiom,
    ! [X10] :
      ( p2(X10,X10,X10)
      | ~ k1(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_159) ).

fof(f424,plain,
    ! [X0,X1] : ~ p2(X0,X1,b),
    inference(resolution,[],[f423,f278]) ).

fof(f278,axiom,
    ! [X8,X9,X7] :
      ( n3(X7)
      | ~ p2(X8,X9,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).

fof(f423,plain,
    ~ n3(b),
    inference(resolution,[],[f420,f15]) ).

fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

fof(f420,plain,
    ! [X1] :
      ( ~ n0(X1,b)
      | ~ n3(b) ),
    inference(resolution,[],[f413,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).

fof(f413,plain,
    ! [X2] :
      ( ~ l1(X2,b)
      | ~ n3(b) ),
    inference(resolution,[],[f402,f213]) ).

fof(f213,axiom,
    ! [X9,X4] :
      ( p2(X9,X9,X9)
      | ~ l1(X4,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_175) ).

fof(f402,plain,
    ! [X0] :
      ( ~ p2(X0,b,b)
      | ~ n3(b) ),
    inference(condensation,[],[f396]) ).

fof(f396,plain,
    ! [X6,X7] :
      ( ~ n3(X6)
      | ~ n3(b)
      | ~ p2(X7,b,b) ),
    inference(resolution,[],[f393,f286]) ).

fof(f286,axiom,
    ! [X2,X3] :
      ( p3(X2,X2,X2)
      | ~ p2(X3,X2,X2)
      | ~ n3(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_248) ).

fof(f393,plain,
    ! [X2,X3,X4] :
      ( ~ p3(X3,X4,b)
      | ~ n3(X2) ),
    inference(resolution,[],[f391,f315]) ).

fof(f315,axiom,
    ! [X3,X10,X11] :
      ( l4(X3)
      | ~ p3(X10,X11,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).

fof(f391,plain,
    ! [X0] :
      ( ~ l4(b)
      | ~ n3(X0) ),
    inference(resolution,[],[f388,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

fof(f388,plain,
    ! [X2,X1] :
      ( ~ n0(X1,X1)
      | ~ l4(b)
      | ~ n3(X2) ),
    inference(resolution,[],[f386,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f386,plain,
    ! [X2,X0,X1] :
      ( ~ p0(X2,X1)
      | ~ n0(X0,X0)
      | ~ l4(b)
      | ~ n3(X1) ),
    inference(condensation,[],[f385]) ).

fof(f385,plain,
    ! [X6,X7,X4,X5] :
      ( ~ l4(b)
      | ~ n0(X7,X6)
      | ~ n0(X6,X6)
      | ~ n3(X5)
      | ~ p0(X4,X5) ),
    inference(resolution,[],[f379,f40]) ).

fof(f379,plain,
    ! [X2,X3,X0,X1] :
      ( ~ l1(X3,X0)
      | ~ p0(X1,X2)
      | ~ l4(b)
      | ~ n3(X2)
      | ~ n0(X0,X0) ),
    inference(resolution,[],[f376,f224]) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( q2(X4,X4,X5)
      | ~ l1(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).

fof(f376,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ q2(X2,X3,X4)
      | ~ n0(X2,X3)
      | ~ p0(X0,X1)
      | ~ l4(b)
      | ~ n3(X1) ),
    inference(resolution,[],[f375,f293]) ).

fof(f293,axiom,
    ! [X2,X4,X5] :
      ( q3(X4,X5)
      | ~ q2(X2,X4,X5)
      | ~ n0(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).

fof(f375,plain,
    ! [X2,X3,X0,X1] :
      ( ~ q3(X0,X1)
      | ~ p0(X3,X2)
      | ~ l4(b)
      | ~ n3(X2) ),
    inference(resolution,[],[f336,f374]) ).

fof(f374,plain,
    ! [X0] :
      ( ~ r4(X0)
      | ~ l4(b) ),
    inference(resolution,[],[f367,f369]) ).

fof(f369,axiom,
    ~ s5(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f367,axiom,
    ! [X2,X5] :
      ( s5(X5)
      | ~ r4(X2)
      | ~ l4(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_329) ).

fof(f336,axiom,
    ! [X2,X3,X4,X5] :
      ( r4(X4)
      | ~ q3(X5,X2)
      | ~ n3(X4)
      | ~ p0(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN213-1 : 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
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 21:38:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (25725)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)
% 0.19/0.51  % (25704)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (25708)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (25696)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)
% 0.19/0.52  % (25719)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)
% 0.19/0.52  % (25697)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)
% 0.19/0.52  % (25704)Instruction limit reached!
% 0.19/0.52  % (25704)------------------------------
% 0.19/0.52  % (25704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25704)Termination reason: Unknown
% 0.19/0.52  % (25704)Termination phase: shuffling
% 0.19/0.52  
% 0.19/0.52  % (25704)Memory used [KB]: 1279
% 0.19/0.52  % (25704)Time elapsed: 0.004 s
% 0.19/0.52  % (25704)Instructions burned: 2 (million)
% 0.19/0.52  % (25704)------------------------------
% 0.19/0.52  % (25704)------------------------------
% 0.19/0.52  % (25698)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)
% 0.19/0.52  % (25709)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (25699)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)
% 0.19/0.52  % (25707)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)
% 0.19/0.53  % (25702)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)
% 0.19/0.53  % (25714)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (25711)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)
% 0.19/0.53  % (25715)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)
% 0.19/0.53  % (25700)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (25706)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  % (25701)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  % (25712)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)
% 0.19/0.54  % (25718)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)
% 0.19/0.54  % (25705)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  % (25723)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)
% 1.47/0.54  % (25724)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.54  % (25716)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)
% 1.47/0.54  % (25722)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)
% 1.47/0.54  % (25703)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.47/0.54  % (25721)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.55  % (25720)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.55  Detected maximum model sizes of [5]
% 1.47/0.55  TRYING [1]
% 1.47/0.55  % (25703)Instruction limit reached!
% 1.47/0.55  % (25703)------------------------------
% 1.47/0.55  % (25703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  TRYING [2]
% 1.60/0.56  % (25713)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.60/0.56  % (25705)First to succeed.
% 1.60/0.56  % (25710)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)
% 1.60/0.56  % (25705)Refutation found. Thanks to Tanya!
% 1.60/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.60/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.56  % (25705)------------------------------
% 1.60/0.56  % (25705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56  % (25705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56  % (25705)Termination reason: Refutation
% 1.60/0.56  
% 1.60/0.56  % (25705)Memory used [KB]: 1535
% 1.60/0.56  % (25705)Time elapsed: 0.154 s
% 1.60/0.56  % (25705)Instructions burned: 9 (million)
% 1.60/0.56  % (25705)------------------------------
% 1.60/0.56  % (25705)------------------------------
% 1.60/0.56  % (25695)Success in time 0.215 s
%------------------------------------------------------------------------------