TSTP Solution File: SYN656-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN656-1 : 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 : n017.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 18:04:42 EDT 2024

% Result   : Unsatisfiable 0.09s 0.47s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  14   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f453,plain,
    $false,
    inference(subsumption_resolution,[],[f451,f45]) ).

fof(f45,axiom,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p25_45) ).

fof(f451,plain,
    p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    inference(resolution,[],[f448,f32]) ).

fof(f32,axiom,
    ! [X46,X44,X45] :
      ( ~ p25(f5(X44,X45),X46)
      | p25(f5(f7(c28,X44),X45),X46) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_32) ).

fof(f448,plain,
    p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    inference(resolution,[],[f380,f5]) ).

fof(f5,axiom,
    ! [X4] : p4(X4,X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).

fof(f380,plain,
    ! [X0] :
      ( ~ p4(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),X0)
      | p25(X0,f13(c31,c34)) ),
    inference(resolution,[],[f378,f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ p3(f13(c31,X0),X1)
      | ~ p4(f5(c29,f13(c31,f15(c32,X0))),X2)
      | p25(X2,X1) ),
    inference(resolution,[],[f35,f31]) ).

fof(f31,axiom,
    ! [X43] : p25(f5(c29,f13(c31,f15(c32,X43))),f13(c31,X43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_31) ).

fof(f35,axiom,
    ! [X56,X54,X57,X55] :
      ( ~ p25(X57,X56)
      | ~ p3(X56,X55)
      | ~ p4(X57,X54)
      | p25(X54,X55) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_35) ).

fof(f378,plain,
    p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
    inference(resolution,[],[f351,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(X1,X0) ),
    inference(resolution,[],[f22,f6]) ).

fof(f6,axiom,
    ! [X5] : p3(X5,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).

fof(f22,axiom,
    ! [X26,X5,X25] :
      ( ~ p3(X5,X26)
      | ~ p3(X5,X25)
      | p3(X25,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).

fof(f351,plain,
    p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
    inference(resolution,[],[f279,f45]) ).

fof(f279,plain,
    ! [X0] :
      ( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X0)))),f13(c31,c34))
      | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
    inference(resolution,[],[f49,f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ p25(f5(f7(c28,c29),f13(c31,X0)),X1)
      | p25(f5(f7(c28,c29),f13(c31,f15(c32,X0))),X1) ),
    inference(resolution,[],[f46,f31]) ).

fof(f46,axiom,
    ! [X46,X44,X45,X94] :
      ( ~ p25(f5(X44,X45),X94)
      | ~ p25(f5(f7(c28,X44),X94),X46)
      | p25(f5(f7(c28,X44),X45),X46) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_46) ).

fof(f49,axiom,
    ! [X95] :
      ( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X95))),f13(c31,c34))
      | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X95))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_49) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.23  % Problem    : SYN656-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.24  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.44  % Computer : n017.cluster.edu
% 0.09/0.44  % Model    : x86_64 x86_64
% 0.09/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.44  % Memory   : 8042.1875MB
% 0.09/0.44  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.44  % CPULimit   : 300
% 0.09/0.44  % WCLimit    : 300
% 0.09/0.44  % DateTime   : Tue Apr 30 01:18:03 EDT 2024
% 0.09/0.44  % CPUTime    : 
% 0.09/0.44  % (28915)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.46  % (28918)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)
% 0.09/0.46  % (28920)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.09/0.46  % (28917)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.09/0.46  % (28919)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.09/0.46  % (28922)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)
% 0.09/0.46  % (28916)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.09/0.46  % (28921)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.09/0.46  TRYING [1]
% 0.09/0.46  TRYING [1]
% 0.09/0.46  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.09/0.46  Detected maximum model sizes of [1,max,1,1,max,max,1,max,max,max,max,max,max]
% 0.09/0.46  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.09/0.46  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1]
% 0.09/0.46  Detected maximum model sizes of [max,max,1,1,1,1,max,max,1]
% 0.09/0.46  TRYING [1,1,1,1,1,1,1,1,1]
% 0.09/0.46  TRYING [2]
% 0.09/0.46  TRYING [2]
% 0.09/0.46  TRYING [1,2,1,1,1,1,1,1,1,1,1,1,1]
% 0.09/0.47  TRYING [1,2,1,1,1,1,1,1,1]
% 0.09/0.47  % (28920)First to succeed.
% 0.09/0.47  TRYING [1,3,1,1,1,1,1,1,1,1,1,1,1]
% 0.09/0.47  TRYING [3]
% 0.09/0.47  TRYING [3]
% 0.09/0.47  TRYING [1,3,1,1,1,1,1,1,1]
% 0.09/0.47  % (28920)Refutation found. Thanks to Tanya!
% 0.09/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.09/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.47  % (28920)------------------------------
% 0.09/0.47  % (28920)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.09/0.47  % (28920)Termination reason: Refutation
% 0.09/0.47  
% 0.09/0.47  % (28920)Memory used [KB]: 891
% 0.09/0.47  % (28920)Time elapsed: 0.012 s
% 0.09/0.47  % (28920)Instructions burned: 22 (million)
% 0.09/0.47  % (28920)------------------------------
% 0.09/0.47  % (28920)------------------------------
% 0.09/0.47  % (28915)Success in time 0.028 s
%------------------------------------------------------------------------------