TSTP Solution File: SYN578-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN578-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 18:04:29 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   65 (  33   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f417,plain,
    $false,
    inference(subsumption_resolution,[],[f416,f6]) ).

fof(f6,axiom,
    p11(c14,c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).

fof(f416,plain,
    ~ p11(c14,c15),
    inference(subsumption_resolution,[],[f415,f327]) ).

fof(f327,plain,
    p9(f8(f4(c14),c14),f4(c14)),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f325,plain,
    ( p9(f8(f4(c14),c14),f4(c14))
    | p9(f8(f4(c14),c14),f4(c14)) ),
    inference(resolution,[],[f314,f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ p9(c12,X0)
      | p9(f8(X0,c14),X0)
      | p9(f8(X0,c14),f4(c14)) ),
    inference(resolution,[],[f22,f6]) ).

fof(f22,axiom,
    ! [X34,X33] :
      ( ~ p11(X34,c15)
      | ~ p9(c12,X33)
      | p9(f8(X33,X34),X33)
      | p9(f8(X33,X34),f4(X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_22) ).

fof(f314,plain,
    p9(c12,f4(c14)),
    inference(resolution,[],[f304,f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ p3(f4(c16),X0)
      | p9(c12,X0) ),
    inference(resolution,[],[f66,f5]) ).

fof(f5,axiom,
    p9(c12,c13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ p9(X1,c13)
      | p9(X1,X0)
      | ~ p3(f4(c16),X0) ),
    inference(resolution,[],[f40,f11]) ).

fof(f11,axiom,
    ! [X6] :
      ( p9(X6,f4(c16))
      | ~ p9(X6,c13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_11) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ p9(X2,X0)
      | ~ p3(X0,X1)
      | p9(X2,X1) ),
    inference(resolution,[],[f20,f2]) ).

fof(f2,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

fof(f20,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p7(X27,X25)
      | ~ p3(X28,X26)
      | ~ p9(X27,X28)
      | p9(X25,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_20) ).

fof(f304,plain,
    p3(f4(c16),f4(c14)),
    inference(resolution,[],[f179,f8]) ).

fof(f8,axiom,
    ! [X4] : p3(f4(f5(X4)),f4(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).

fof(f179,plain,
    ! [X0] :
      ( ~ p3(f4(f5(c14)),X0)
      | p3(f4(c16),X0) ),
    inference(resolution,[],[f71,f4]) ).

fof(f4,axiom,
    ! [X3] : p2(X3,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ p2(c16,X0)
      | ~ p3(f4(f5(c14)),X1)
      | p3(f4(X0),X1) ),
    inference(resolution,[],[f29,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( p2(f5(c14),X0)
      | ~ p2(c16,X0) ),
    inference(resolution,[],[f18,f7]) ).

fof(f7,axiom,
    p2(c16,f5(c14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

fof(f18,axiom,
    ! [X3,X19,X20] :
      ( ~ p2(X3,X19)
      | ~ p2(X3,X20)
      | p2(X19,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ p2(X0,X2)
      | p3(f4(X2),X1)
      | ~ p3(f4(X0),X1) ),
    inference(resolution,[],[f17,f14]) ).

fof(f14,axiom,
    ! [X11,X12] :
      ( p3(f4(X11),f4(X12))
      | ~ p2(X11,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).

fof(f17,axiom,
    ! [X2,X18,X17] :
      ( ~ p3(X2,X17)
      | ~ p3(X2,X18)
      | p3(X17,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).

fof(f415,plain,
    ( ~ p9(f8(f4(c14),c14),f4(c14))
    | ~ p11(c14,c15) ),
    inference(subsumption_resolution,[],[f412,f314]) ).

fof(f412,plain,
    ( ~ p9(c12,f4(c14))
    | ~ p9(f8(f4(c14),c14),f4(c14))
    | ~ p11(c14,c15) ),
    inference(resolution,[],[f327,f23]) ).

fof(f23,axiom,
    ! [X34,X33] :
      ( ~ p9(f8(X33,X34),f4(X34))
      | ~ p9(c12,X33)
      | ~ p9(f8(X33,X34),X33)
      | ~ p11(X34,c15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_23) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN578-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n010.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 Apr 30 01:40:20 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (18998)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (19000)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36  Detected minimum model sizes of [1,1,1]
% 0.14/0.36  Detected maximum model sizes of [max,max,1]
% 0.14/0.36  TRYING [1,1,1]
% 0.14/0.36  TRYING [1,2,1]
% 0.14/0.36  TRYING [2,2,1]
% 0.14/0.36  TRYING [1,3,1]
% 0.14/0.37  TRYING [2,3,1]
% 0.14/0.37  % (18999)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (19001)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37  % (19002)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (19003)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (19005)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (19004)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  TRYING [1,4,1]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  Detected minimum model sizes of [1,1,1]
% 0.14/0.37  Detected maximum model sizes of [max,max,1]
% 0.14/0.37  TRYING [1,1,1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1,2,1]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [3,3,1]
% 0.14/0.37  TRYING [2,2,1]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [1,3,1]
% 0.14/0.37  TRYING [2,4,1]
% 0.14/0.37  TRYING [4]
% 0.14/0.38  TRYING [2,3,1]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [3,4,1]
% 0.14/0.38  % (19004)First to succeed.
% 0.14/0.38  TRYING [1,4,1]
% 0.14/0.38  % (19004)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (19004)------------------------------
% 0.14/0.38  % (19004)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38  % (19004)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (19004)Memory used [KB]: 892
% 0.14/0.38  % (19004)Time elapsed: 0.013 s
% 0.14/0.38  % (19004)Instructions burned: 18 (million)
% 0.14/0.38  % (19004)------------------------------
% 0.14/0.38  % (19004)------------------------------
% 0.14/0.38  % (18998)Success in time 0.021 s
%------------------------------------------------------------------------------