TSTP Solution File: SYN204-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN204-1 : 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 : n010.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 19:37:10 EDT 2022

% Result   : Unsatisfiable 0.18s 0.59s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   41 (  10 unt;   0 def)
%            Number of atoms       :  128 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  197 ( 110   ~;  87   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1020,plain,
    $false,
    inference(resolution,[],[f988,f5]) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f988,plain,
    ~ s0(b),
    inference(resolution,[],[f987,f20]) ).

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

fof(f987,plain,
    ( ~ l0(a)
    | ~ s0(b) ),
    inference(resolution,[],[f986,f32]) ).

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

fof(f986,plain,
    ( ~ k0(b)
    | ~ s0(b)
    | ~ l0(a) ),
    inference(resolution,[],[f985,f14]) ).

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

fof(f985,plain,
    ( ~ p0(b,b)
    | ~ s0(b)
    | ~ l0(a)
    | ~ k0(b) ),
    inference(resolution,[],[f983,f163]) ).

fof(f163,axiom,
    ! [X2] :
      ( s1(X2)
      | ~ p0(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).

fof(f983,plain,
    ( ~ s1(b)
    | ~ s0(b)
    | ~ k0(b)
    | ~ l0(a) ),
    inference(resolution,[],[f982,f37]) ).

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

fof(f982,plain,
    ! [X0] :
      ( ~ n0(X0,a)
      | ~ k0(b)
      | ~ l0(a)
      | ~ s0(b)
      | ~ s1(b) ),
    inference(resolution,[],[f981,f14]) ).

fof(f981,plain,
    ! [X1] :
      ( ~ p0(b,b)
      | ~ s0(b)
      | ~ n0(X1,a)
      | ~ s1(b)
      | ~ k0(b)
      | ~ l0(a) ),
    inference(duplicate_literal_removal,[],[f978]) ).

fof(f978,plain,
    ! [X1] :
      ( ~ k0(b)
      | ~ s0(b)
      | ~ s1(b)
      | ~ n0(X1,a)
      | ~ l0(a)
      | ~ p0(b,b)
      | ~ l0(a) ),
    inference(resolution,[],[f761,f40]) ).

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

fof(f761,plain,
    ! [X0] :
      ( ~ l1(X0,a)
      | ~ s0(b)
      | ~ l0(X0)
      | ~ l0(a)
      | ~ p0(b,b)
      | ~ s1(b)
      | ~ k0(b) ),
    inference(duplicate_literal_removal,[],[f758]) ).

fof(f758,plain,
    ! [X0] :
      ( ~ p0(b,b)
      | ~ s0(b)
      | ~ s1(b)
      | ~ l0(X0)
      | ~ l1(X0,a)
      | ~ l0(a)
      | ~ l0(a)
      | ~ k0(b) ),
    inference(resolution,[],[f547,f88]) ).

fof(f88,axiom,
    ! [X8,X7] :
      ( n1(X7,X8,X7)
      | ~ p0(b,X8)
      | ~ l0(X7)
      | ~ s0(b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).

fof(f547,plain,
    ! [X0] :
      ( ~ n1(a,b,a)
      | ~ l1(X0,a)
      | ~ l0(X0)
      | ~ k0(b)
      | ~ l0(a)
      | ~ s1(b) ),
    inference(resolution,[],[f526,f92]) ).

fof(f92,axiom,
    ! [X8,X9,X4] :
      ( n1(X8,X9,X9)
      | ~ n1(X8,X9,X8)
      | ~ l0(X4)
      | ~ l1(X4,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_054) ).

fof(f526,plain,
    ( ~ n1(a,b,b)
    | ~ k0(b)
    | ~ s1(b)
    | ~ l0(a) ),
    inference(resolution,[],[f523,f126]) ).

fof(f126,axiom,
    ( p1(a,a,a)
    | ~ l0(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).

fof(f523,plain,
    ( ~ p1(a,a,a)
    | ~ s1(b)
    | ~ n1(a,b,b)
    | ~ k0(b) ),
    inference(duplicate_literal_removal,[],[f507]) ).

fof(f507,plain,
    ( ~ n1(a,b,b)
    | ~ p1(a,a,a)
    | ~ k0(b)
    | ~ k0(b)
    | ~ s1(b) ),
    inference(resolution,[],[f483,f106]) ).

fof(f106,axiom,
    ! [X7] :
      ( p1(X7,X7,X7)
      | ~ k0(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_068) ).

fof(f483,plain,
    ( ~ p1(b,b,b)
    | ~ k0(b)
    | ~ n1(a,b,b)
    | ~ p1(a,a,a)
    | ~ s1(b) ),
    inference(resolution,[],[f481,f215]) ).

fof(f215,axiom,
    ! [X8,X9] :
      ( q2(X8,X9,X9)
      | ~ k0(X9)
      | ~ p1(X8,X8,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).

fof(f481,plain,
    ! [X3] :
      ( ~ q2(a,X3,b)
      | ~ s1(b)
      | ~ p1(b,b,X3)
      | ~ n1(a,b,X3) ),
    inference(resolution,[],[f220,f386]) ).

fof(f386,plain,
    ( ~ q2(b,a,b)
    | ~ s1(b) ),
    inference(resolution,[],[f385,f227]) ).

fof(f227,axiom,
    ! [X5] :
      ( s2(X5)
      | ~ q2(b,X5,b)
      | ~ s1(b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_189) ).

fof(f385,plain,
    ~ s2(a),
    inference(resolution,[],[f383,f37]) ).

fof(f383,plain,
    ! [X1] :
      ( ~ n0(X1,a)
      | ~ s2(a) ),
    inference(resolution,[],[f381,f40]) ).

fof(f381,plain,
    ( ~ l1(a,a)
    | ~ s2(a) ),
    inference(resolution,[],[f375,f19]) ).

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

fof(f375,plain,
    ! [X0] :
      ( ~ m0(a,X0,c)
      | ~ l1(a,a)
      | ~ s2(a) ),
    inference(resolution,[],[f374,f224]) ).

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

fof(f374,plain,
    ! [X0,X1] :
      ( ~ q2(X0,a,X0)
      | ~ m0(X0,X1,c)
      | ~ s2(a) ),
    inference(resolution,[],[f311,f369]) ).

fof(f369,axiom,
    ~ s3(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f311,axiom,
    ! [X2,X3,X10,X11] :
      ( s3(X2,X3)
      | ~ q2(X10,X2,X10)
      | ~ m0(X10,X11,X3)
      | ~ s2(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_273) ).

fof(f220,axiom,
    ! [X9,X4,X5] :
      ( q2(X9,X4,X9)
      | ~ p1(X9,X9,X5)
      | ~ q2(X4,X5,X9)
      | ~ n1(X4,X9,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_182) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN204-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:29:58 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (14121)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)
% 0.18/0.49  % (14102)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49  % (14102)Instruction limit reached!
% 0.18/0.49  % (14102)------------------------------
% 0.18/0.49  % (14102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (14102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (14102)Termination reason: Unknown
% 0.18/0.49  % (14102)Termination phase: Blocked clause elimination
% 0.18/0.49  
% 0.18/0.49  % (14102)Memory used [KB]: 1279
% 0.18/0.49  % (14102)Time elapsed: 0.005 s
% 0.18/0.49  % (14102)Instructions burned: 2 (million)
% 0.18/0.49  % (14102)------------------------------
% 0.18/0.49  % (14102)------------------------------
% 0.18/0.49  % (14113)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)
% 0.18/0.51  % (14119)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51  % (14106)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52  % (14098)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (14116)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)
% 0.18/0.52  % (14111)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53  % (14097)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)
% 0.18/0.53  % (14095)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)
% 0.18/0.53  % (14096)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)
% 0.18/0.53  % (14101)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53  % (14123)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)
% 0.18/0.53  % (14099)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)
% 0.18/0.53  % (14103)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)
% 0.18/0.53  % (14104)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53  % (14101)Instruction limit reached!
% 0.18/0.53  % (14101)------------------------------
% 0.18/0.53  % (14101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (14101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (14101)Termination reason: Unknown
% 0.18/0.53  % (14101)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (14101)Memory used [KB]: 6396
% 0.18/0.53  % (14101)Time elapsed: 0.005 s
% 0.18/0.53  % (14101)Instructions burned: 8 (million)
% 0.18/0.53  % (14101)------------------------------
% 0.18/0.53  % (14101)------------------------------
% 0.18/0.53  % (14114)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)
% 0.18/0.54  % (14100)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)
% 0.18/0.54  % (14120)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)
% 0.18/0.54  % (14115)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54  % (14105)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)
% 0.18/0.54  % (14117)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)
% 0.18/0.54  % (14094)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)
% 0.18/0.54  % (14108)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)
% 0.18/0.54  % (14118)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54  % (14122)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.54  % (14107)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.55  % (14109)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)
% 0.18/0.55  % (14110)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)
% 0.18/0.55  % (14112)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.58  % (14095)Refutation not found, incomplete strategy% (14095)------------------------------
% 0.18/0.58  % (14095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (14095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (14095)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.58  
% 0.18/0.58  % (14095)Memory used [KB]: 6780
% 0.18/0.58  % (14095)Time elapsed: 0.189 s
% 0.18/0.58  % (14095)Instructions burned: 24 (million)
% 0.18/0.58  % (14095)------------------------------
% 0.18/0.58  % (14095)------------------------------
% 0.18/0.58  Detected maximum model sizes of [5]
% 0.18/0.58  TRYING [1]
% 0.18/0.58  TRYING [2]
% 0.18/0.59  % (14103)First to succeed.
% 0.18/0.59  % (14103)Refutation found. Thanks to Tanya!
% 0.18/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.59  % (14103)------------------------------
% 0.18/0.59  % (14103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (14103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (14103)Termination reason: Refutation
% 0.18/0.59  
% 0.18/0.59  % (14103)Memory used [KB]: 1663
% 0.18/0.59  % (14103)Time elapsed: 0.175 s
% 0.18/0.59  % (14103)Instructions burned: 28 (million)
% 0.18/0.59  % (14103)------------------------------
% 0.18/0.59  % (14103)------------------------------
% 0.18/0.59  % (14093)Success in time 0.244 s
%------------------------------------------------------------------------------