TSTP Solution File: SYN074-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN074-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n016.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 19:25:27 EDT 2022

% Result   : Unsatisfiable 1.40s 0.53s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (   4 unt;   0 def)
%            Number of atoms       :   62 (  44 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   68 (  33   ~;  35   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f279,plain,
    $false,
    inference(resolution,[],[f277,f16]) ).

fof(f16,plain,
    big_f(a,b),
    inference(equality_resolution,[],[f15]) ).

fof(f15,plain,
    ! [X1] :
      ( big_f(a,X1)
      | b != X1 ),
    inference(equality_resolution,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( big_f(X0,X1)
      | a != X0
      | b != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f277,plain,
    ! [X10] : ~ big_f(a,X10),
    inference(subsumption_resolution,[],[f269,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | b = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f269,plain,
    ! [X10] :
      ( ~ big_f(a,X10)
      | b != X10 ),
    inference(trivial_inequality_removal,[],[f268]) ).

fof(f268,plain,
    ! [X10] :
      ( X10 != X10
      | b != X10
      | ~ big_f(a,X10) ),
    inference(superposition,[],[f51,f250]) ).

fof(f250,plain,
    ! [X0] :
      ( h(a,X0) = X0
      | b != X0 ),
    inference(equality_factoring,[],[f160]) ).

fof(f160,plain,
    ! [X8] :
      ( b = h(a,X8)
      | h(a,X8) = X8 ),
    inference(trivial_inequality_removal,[],[f157]) ).

fof(f157,plain,
    ! [X8] :
      ( a != a
      | b = h(a,X8)
      | h(a,X8) = X8 ),
    inference(superposition,[],[f36,f115]) ).

fof(f115,plain,
    a = f(a),
    inference(resolution,[],[f114,f16]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | a = f(X0) ),
    inference(trivial_inequality_removal,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( a = f(X0)
      | X1 != X1
      | ~ big_f(X0,X1) ),
    inference(superposition,[],[f51,f43]) ).

fof(f43,plain,
    ! [X4,X5] :
      ( h(X4,X5) = X5
      | a = f(X4) ),
    inference(subsumption_resolution,[],[f37,f18]) ).

fof(f18,plain,
    ! [X1] :
      ( a = f(X1)
      | f(X1) = X1 ),
    inference(resolution,[],[f12,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | a = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f12,plain,
    ! [X0] :
      ( big_f(f(X0),g(X0))
      | f(X0) = X0 ),
    inference(equality_resolution,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( g(X0) != X1
      | f(X0) = X0
      | big_f(f(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

fof(f37,plain,
    ! [X4,X5] :
      ( h(X4,X5) = X5
      | a = f(X4)
      | f(X4) != X4 ),
    inference(resolution,[],[f10,f1]) ).

fof(f10,axiom,
    ! [X2,X0] :
      ( big_f(f(X0),h(X0,X2))
      | f(X0) != X0
      | h(X0,X2) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).

fof(f36,plain,
    ! [X2,X3] :
      ( f(X2) != X2
      | h(X2,X3) = X3
      | b = h(X2,X3) ),
    inference(resolution,[],[f10,f2]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,h(X0,X1))
      | h(X0,X1) != X1 ),
    inference(subsumption_resolution,[],[f48,f1]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( a != X0
      | h(X0,X1) != X1
      | ~ big_f(X0,h(X0,X1)) ),
    inference(trivial_inequality_removal,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( h(X0,X1) != X1
      | X0 != X0
      | a != X0
      | ~ big_f(X0,h(X0,X1)) ),
    inference(superposition,[],[f11,f25]) ).

fof(f25,plain,
    ! [X0] :
      ( f(X0) = X0
      | a != X0 ),
    inference(equality_factoring,[],[f18]) ).

fof(f11,axiom,
    ! [X2,X0] :
      ( ~ big_f(f(X0),h(X0,X2))
      | f(X0) != X0
      | h(X0,X2) != X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN074-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:50:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (28947)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.51  % (28944)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)
% 0.19/0.51  % (28955)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)
% 0.19/0.51  % (28963)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)
% 0.19/0.51  % (28963)Refutation not found, incomplete strategy% (28963)------------------------------
% 0.19/0.51  % (28963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (28940)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (28955)Refutation not found, incomplete strategy% (28955)------------------------------
% 0.19/0.51  % (28955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (28938)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)
% 0.19/0.52  % (28958)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (28947)Instruction limit reached!
% 0.19/0.52  % (28947)------------------------------
% 0.19/0.52  % (28947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (28946)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)
% 0.19/0.52  % (28958)Refutation not found, incomplete strategy% (28958)------------------------------
% 0.19/0.52  % (28958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (28936)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)
% 0.19/0.52  % (28939)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)
% 0.19/0.52  % (28947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (28947)Termination reason: Unknown
% 0.19/0.52  % (28947)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (28947)Memory used [KB]: 5884
% 0.19/0.52  % (28947)Time elapsed: 0.120 s
% 0.19/0.52  % (28947)Instructions burned: 5 (million)
% 0.19/0.52  % (28947)------------------------------
% 0.19/0.52  % (28947)------------------------------
% 0.19/0.52  % (28939)Refutation not found, incomplete strategy% (28939)------------------------------
% 0.19/0.52  % (28939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (28939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (28939)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (28939)Memory used [KB]: 5756
% 0.19/0.52  % (28939)Time elapsed: 0.117 s
% 0.19/0.52  % (28939)Instructions burned: 2 (million)
% 0.19/0.52  % (28939)------------------------------
% 0.19/0.52  % (28939)------------------------------
% 0.19/0.52  % (28945)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)
% 0.19/0.52  % (28952)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52  % (28936)First to succeed.
% 0.19/0.52  % (28950)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)
% 0.19/0.52  % (28958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (28958)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (28958)Memory used [KB]: 5756
% 0.19/0.52  % (28958)Time elapsed: 0.077 s
% 0.19/0.52  % (28958)Instructions burned: 1 (million)
% 0.19/0.52  % (28958)------------------------------
% 0.19/0.52  % (28958)------------------------------
% 0.19/0.52  % (28957)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)
% 0.19/0.52  % (28937)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)
% 0.19/0.52  % (28961)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)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (28945)Refutation not found, incomplete strategy% (28945)------------------------------
% 0.19/0.53  % (28945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (28945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (28945)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (28945)Memory used [KB]: 5756
% 0.19/0.53  % (28959)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)
% 0.19/0.53  % (28945)Time elapsed: 0.126 s
% 0.19/0.53  % (28945)Instructions burned: 2 (million)
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (28945)------------------------------
% 0.19/0.53  % (28945)------------------------------
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (28941)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)
% 1.40/0.53  % (28963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (28963)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53  
% 1.40/0.53  % (28963)Memory used [KB]: 5756
% 1.40/0.53  % (28963)Time elapsed: 0.108 s
% 1.40/0.53  % (28963)Instructions burned: 2 (million)
% 1.40/0.53  % (28963)------------------------------
% 1.40/0.53  % (28963)------------------------------
% 1.40/0.53  % (28935)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.40/0.53  % (28955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (28955)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53  
% 1.40/0.53  % (28955)Memory used [KB]: 1279
% 1.40/0.53  % (28942)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.53  % (28955)Time elapsed: 0.110 s
% 1.40/0.53  % (28955)Instructions burned: 3 (million)
% 1.40/0.53  % (28955)------------------------------
% 1.40/0.53  % (28955)------------------------------
% 1.40/0.53  % (28937)Refutation not found, incomplete strategy% (28937)------------------------------
% 1.40/0.53  % (28937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (28937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (28937)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53  
% 1.40/0.53  % (28937)Memory used [KB]: 5756
% 1.40/0.53  % (28937)Time elapsed: 0.127 s
% 1.40/0.53  % (28937)Instructions burned: 2 (million)
% 1.40/0.53  % (28937)------------------------------
% 1.40/0.53  % (28937)------------------------------
% 1.40/0.53  % (28953)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)
% 1.40/0.53  % (28950)Instruction limit reached!
% 1.40/0.53  % (28950)------------------------------
% 1.40/0.53  % (28950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (28950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (28950)Termination reason: Unknown
% 1.40/0.53  % (28950)Termination phase: Finite model building SAT solving
% 1.40/0.53  
% 1.40/0.53  % (28950)Memory used [KB]: 5884
% 1.40/0.53  % (28950)Time elapsed: 0.091 s
% 1.40/0.53  % (28950)Instructions burned: 6 (million)
% 1.40/0.53  % (28950)------------------------------
% 1.40/0.53  % (28950)------------------------------
% 1.40/0.53  % (28960)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)
% 1.40/0.53  % (28962)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.40/0.53  % (28936)Refutation found. Thanks to Tanya!
% 1.40/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.40/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.53  % (28936)------------------------------
% 1.40/0.53  % (28936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (28936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (28936)Termination reason: Refutation
% 1.40/0.53  
% 1.40/0.53  % (28936)Memory used [KB]: 1407
% 1.40/0.53  % (28936)Time elapsed: 0.104 s
% 1.40/0.53  % (28936)Instructions burned: 8 (million)
% 1.40/0.53  % (28936)------------------------------
% 1.40/0.53  % (28936)------------------------------
% 1.40/0.53  % (28934)Success in time 0.181 s
%------------------------------------------------------------------------------