TSTP Solution File: SYN162-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN162-1 : 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_uns --cores 0 -t %d %s

% Computer : n002.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 19:25:44 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   38 (  13 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  114 (  63   ~;  51   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   64 (  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f831,plain,
    $false,
    inference(resolution,[],[f828,f679]) ).

fof(f679,plain,
    ! [X0] : p2(X0,a,X0),
    inference(resolution,[],[f674,f179]) ).

fof(f179,axiom,
    ! [X11] :
      ( ~ q1(X11,a,X11)
      | p2(X11,a,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_141) ).

fof(f674,plain,
    ! [X0] : q1(X0,a,X0),
    inference(resolution,[],[f641,f14]) ).

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

fof(f641,plain,
    ! [X12,X13] :
      ( ~ p0(X12,X13)
      | q1(X13,a,X13) ),
    inference(resolution,[],[f130,f37]) ).

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

fof(f130,axiom,
    ! [X3,X10,X11,X6] :
      ( ~ n0(X11,X10)
      | ~ p0(X6,X3)
      | q1(X3,X10,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_092) ).

fof(f828,plain,
    ! [X0,X1] : ~ p2(X0,X1,e),
    inference(resolution,[],[f827,f14]) ).

fof(f827,plain,
    ! [X2,X0,X1] :
      ( ~ p0(X2,X2)
      | ~ p2(X0,X1,e) ),
    inference(subsumption_resolution,[],[f826,f18]) ).

fof(f18,axiom,
    p0(c,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

fof(f826,plain,
    ! [X2,X0,X1] :
      ( ~ p2(X0,X1,e)
      | ~ p0(c,b)
      | ~ p0(X2,X2) ),
    inference(resolution,[],[f824,f27]) ).

fof(f27,axiom,
    m0(e,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).

fof(f824,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m0(e,b,X0)
      | ~ p0(X0,b)
      | ~ p2(X2,X3,e)
      | ~ p0(X1,X1) ),
    inference(resolution,[],[f822,f9]) ).

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

fof(f822,plain,
    ! [X21,X24,X22,X25,X23] :
      ( ~ r0(X22)
      | ~ m0(e,b,X21)
      | ~ p0(X21,b)
      | ~ p0(X25,X25)
      | ~ p2(X23,X24,e) ),
    inference(resolution,[],[f41,f708]) ).

fof(f708,plain,
    ! [X2,X0,X1] :
      ( ~ l1(b,e)
      | ~ p2(X0,X1,e)
      | ~ p0(X2,X2) ),
    inference(subsumption_resolution,[],[f707,f30]) ).

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

fof(f707,plain,
    ! [X2,X0,X1] :
      ( ~ l1(b,e)
      | ~ p0(X2,X2)
      | ~ n0(e,e)
      | ~ p2(X0,X1,e) ),
    inference(resolution,[],[f705,f224]) ).

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

fof(f705,plain,
    ! [X2,X3,X0,X1] :
      ( ~ q2(X2,e,b)
      | ~ p2(X0,X1,e)
      | ~ n0(X2,e)
      | ~ p0(X3,X3) ),
    inference(resolution,[],[f704,f456]) ).

fof(f456,plain,
    ! [X0,X1] :
      ( s1(X0)
      | ~ p0(X1,X1) ),
    inference(resolution,[],[f449,f163]) ).

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

fof(f449,plain,
    ! [X0,X1] :
      ( ~ s1(X1)
      | s1(X0) ),
    inference(resolution,[],[f164,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ q0(X9,X4)
      | s1(X9)
      | ~ s1(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).

fof(f704,plain,
    ! [X2,X0,X1] :
      ( ~ s1(c)
      | ~ p2(X0,X1,e)
      | ~ n0(X2,e)
      | ~ q2(X2,e,b) ),
    inference(resolution,[],[f703,f293]) ).

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

fof(f703,plain,
    ! [X0,X1] :
      ( ~ q3(e,b)
      | ~ s1(c)
      | ~ p2(X0,X1,e) ),
    inference(resolution,[],[f702,f278]) ).

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

fof(f702,plain,
    ( ~ n3(e)
    | ~ s1(c)
    | ~ q3(e,b) ),
    inference(subsumption_resolution,[],[f701,f369]) ).

fof(f369,axiom,
    ~ n5(c,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f701,plain,
    ( n5(c,c)
    | ~ n3(e)
    | ~ q3(e,b)
    | ~ s1(c) ),
    inference(resolution,[],[f699,f353]) ).

fof(f353,axiom,
    ! [X10] :
      ( ~ k4(X10)
      | ~ s1(X10)
      | n5(X10,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_315) ).

fof(f699,plain,
    ( k4(c)
    | ~ n3(e)
    | ~ q3(e,b) ),
    inference(subsumption_resolution,[],[f312,f34]) ).

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

fof(f312,axiom,
    ( ~ n0(c,d)
    | ~ n3(e)
    | ~ q3(e,b)
    | k4(c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_274) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SYN162-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 21:46:44 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (18209)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (18209)Instruction limit reached!
% 0.20/0.51  % (18209)------------------------------
% 0.20/0.51  % (18209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (18221)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51  % (18213)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.51  % (18225)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.52  % (18205)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (18221)Refutation not found, incomplete strategy% (18221)------------------------------
% 0.20/0.52  % (18221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18217)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.52  % (18209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18209)Termination reason: Unknown
% 0.20/0.52  % (18209)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (18209)Memory used [KB]: 6140
% 0.20/0.52  % (18209)Time elapsed: 0.006 s
% 0.20/0.52  % (18209)Instructions burned: 6 (million)
% 0.20/0.52  % (18209)------------------------------
% 0.20/0.52  % (18209)------------------------------
% 0.20/0.52  % (18221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18221)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (18221)Memory used [KB]: 6268
% 0.20/0.52  % (18221)Time elapsed: 0.056 s
% 0.20/0.52  % (18221)Instructions burned: 4 (million)
% 0.20/0.52  % (18221)------------------------------
% 0.20/0.52  % (18221)------------------------------
% 0.20/0.53  % (18217)Refutation not found, incomplete strategy% (18217)------------------------------
% 0.20/0.53  % (18217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (18217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (18217)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (18217)Memory used [KB]: 11001
% 0.20/0.53  % (18217)Time elapsed: 0.112 s
% 0.20/0.53  % (18217)Instructions burned: 7 (million)
% 0.20/0.53  % (18225)Refutation not found, incomplete strategy% (18225)------------------------------
% 0.20/0.53  % (18225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (18217)------------------------------
% 0.20/0.53  % (18217)------------------------------
% 0.20/0.53  % (18225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (18225)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (18225)Memory used [KB]: 6396
% 0.20/0.53  % (18225)Time elapsed: 0.108 s
% 0.20/0.53  % (18225)Instructions burned: 10 (million)
% 0.20/0.53  % (18225)------------------------------
% 0.20/0.53  % (18225)------------------------------
% 0.20/0.54  % (18199)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.54  % (18200)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54  % (18202)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.54  % (18201)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54  % (18213)Instruction limit reached!
% 0.20/0.54  % (18213)------------------------------
% 0.20/0.54  % (18213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (18213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (18213)Termination reason: Unknown
% 0.20/0.54  % (18213)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (18213)Memory used [KB]: 2430
% 0.20/0.54  % (18213)Time elapsed: 0.080 s
% 0.20/0.54  % (18213)Instructions burned: 29 (million)
% 0.20/0.54  % (18213)------------------------------
% 0.20/0.54  % (18213)------------------------------
% 0.20/0.54  % (18201)Instruction limit reached!
% 0.20/0.54  % (18201)------------------------------
% 0.20/0.54  % (18201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (18201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (18201)Termination reason: Unknown
% 0.20/0.54  % (18201)Termination phase: General splitting
% 0.20/0.54  
% 0.20/0.54  % (18201)Memory used [KB]: 1791
% 0.20/0.54  % (18201)Time elapsed: 0.003 s
% 0.20/0.54  % (18201)Instructions burned: 5 (million)
% 0.20/0.54  % (18201)------------------------------
% 0.20/0.54  % (18201)------------------------------
% 0.20/0.54  % (18227)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.55  % (18223)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.55  % (18208)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (18204)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55  % (18203)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.55  % (18208)Refutation not found, incomplete strategy% (18208)------------------------------
% 0.20/0.55  % (18208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (18208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (18208)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (18208)Memory used [KB]: 6396
% 0.20/0.55  % (18208)Time elapsed: 0.127 s
% 0.20/0.55  % (18208)Instructions burned: 4 (million)
% 0.20/0.55  % (18208)------------------------------
% 0.20/0.55  % (18208)------------------------------
% 0.20/0.55  % (18203)Refutation not found, incomplete strategy% (18203)------------------------------
% 0.20/0.55  % (18203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (18203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (18203)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (18203)Memory used [KB]: 6140
% 0.20/0.55  % (18203)Time elapsed: 0.003 s
% 0.20/0.55  % (18203)Instructions burned: 3 (million)
% 0.20/0.55  % (18203)------------------------------
% 0.20/0.55  % (18203)------------------------------
% 0.20/0.55  % (18210)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.55  % (18214)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.55  % (18224)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.55  % (18219)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.55  % (18205)First to succeed.
% 0.20/0.56  % (18205)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (18205)------------------------------
% 0.20/0.56  % (18205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (18205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (18205)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (18205)Memory used [KB]: 2046
% 0.20/0.56  % (18205)Time elapsed: 0.101 s
% 0.20/0.56  % (18205)Instructions burned: 22 (million)
% 0.20/0.56  % (18205)------------------------------
% 0.20/0.56  % (18205)------------------------------
% 0.20/0.56  % (18198)Success in time 0.192 s
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