TSTP Solution File: SYN643-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN643-1 : 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 18:04:40 EDT 2024

% Result   : Unsatisfiable 0.15s 0.41s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6201,plain,
    $false,
    inference(subsumption_resolution,[],[f6192,f28]) ).

fof(f28,axiom,
    ~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_28) ).

fof(f6192,plain,
    p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
    inference(resolution,[],[f6177,f984]) ).

fof(f984,plain,
    ! [X0,X1] :
      ( ~ p4(f9(f5(f3(c19)),X0),X1)
      | p4(X1,f9(f5(c19),X0)) ),
    inference(resolution,[],[f968,f24]) ).

fof(f24,axiom,
    ! [X2,X24,X25] :
      ( ~ p4(X2,X25)
      | ~ p4(X2,X24)
      | p4(X24,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_24) ).

fof(f968,plain,
    ! [X0] : p4(f9(f5(f3(c19)),X0),f9(f5(c19),X0)),
    inference(resolution,[],[f653,f5]) ).

fof(f5,axiom,
    ! [X2] : p4(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).

fof(f653,plain,
    ! [X0,X1] :
      ( ~ p4(X0,X1)
      | p4(f9(f5(f3(c19)),X0),f9(f5(c19),X1)) ),
    inference(resolution,[],[f35,f11]) ).

fof(f11,axiom,
    p4(f5(f3(c19)),f5(c19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_11) ).

fof(f35,axiom,
    ! [X46,X47,X44,X45] :
      ( ~ p4(X44,X46)
      | ~ p4(X45,X47)
      | p4(f9(X44,X45),f9(X46,X47)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_35) ).

fof(f6177,plain,
    p4(f9(f5(f3(c19)),f5(c18)),f5(f10(f3(c19),f3(c18)))),
    inference(resolution,[],[f6165,f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ p4(X0,X1)
      | p4(X1,X0) ),
    inference(resolution,[],[f24,f5]) ).

fof(f6165,plain,
    p4(f5(f10(f3(c19),f3(c18))),f9(f5(f3(c19)),f5(c18))),
    inference(resolution,[],[f5285,f734]) ).

fof(f734,plain,
    ! [X0,X1] :
      ( ~ p4(f9(X0,f5(f3(c18))),X1)
      | p4(X1,f9(X0,f5(c18))) ),
    inference(resolution,[],[f657,f24]) ).

fof(f657,plain,
    ! [X0] : p4(f9(X0,f5(f3(c18))),f9(X0,f5(c18))),
    inference(resolution,[],[f651,f10]) ).

fof(f10,axiom,
    p4(f5(f3(c18)),f5(c18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_10) ).

fof(f651,plain,
    ! [X2,X0,X1] :
      ( ~ p4(X0,X1)
      | p4(f9(X2,X0),f9(X2,X1)) ),
    inference(resolution,[],[f35,f5]) ).

fof(f5285,plain,
    p4(f9(f5(f3(c19)),f5(f3(c18))),f5(f10(f3(c19),f3(c18)))),
    inference(resolution,[],[f3643,f87]) ).

fof(f3643,plain,
    p4(f5(f10(f3(c19),f3(c18))),f9(f5(f3(c19)),f5(f3(c18)))),
    inference(resolution,[],[f894,f1]) ).

fof(f1,axiom,
    p15(f3(c19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_1) ).

fof(f894,plain,
    ! [X0] :
      ( ~ p15(X0)
      | p4(f5(f10(X0,f3(c18))),f9(f5(X0),f5(f3(c18)))) ),
    inference(resolution,[],[f37,f2]) ).

fof(f2,axiom,
    p15(f3(c18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_2) ).

fof(f37,axiom,
    ! [X18,X19] :
      ( ~ p15(X19)
      | ~ p15(X18)
      | p4(f5(f10(X18,X19)),f9(f5(X18),f5(X19))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_37) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN643-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n010.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 01:40:35 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  % (19901)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (19906)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.32  % (19902)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.32  % (19904)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)
% 0.15/0.32  % (19907)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.32  % (19908)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)
% 0.15/0.32  % (19903)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32  % (19905)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32  TRYING [1,1,1,1,1,1,1,1,1,1]
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [1,1,1,1,1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [2,1,1,1,1,1,1,1,1,1]
% 0.15/0.32  TRYING [2,1,1,1,1]
% 0.15/0.32  TRYING [3,1,1,1,1,1,1,1,1,1]
% 0.15/0.32  TRYING [3]
% 0.15/0.33  TRYING [3,1,1,1,1]
% 0.15/0.33  TRYING [3]
% 0.15/0.33  TRYING [4,1,1,1,1,1,1,1,1,1]
% 0.15/0.33  TRYING [4,1,1,1,1]
% 0.15/0.33  TRYING [4]
% 0.15/0.34  TRYING [4]
% 0.15/0.36  TRYING [5]
% 0.15/0.36  TRYING [5,1,1,1,1,1,1,1,1,1]
% 0.15/0.36  TRYING [5,1,1,1,1]
% 0.15/0.37  TRYING [5]
% 0.15/0.41  % (19906)First to succeed.
% 0.15/0.41  % (19906)Refutation found. Thanks to Tanya!
% 0.15/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41  % (19906)------------------------------
% 0.15/0.41  % (19906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.41  % (19906)Termination reason: Refutation
% 0.15/0.41  
% 0.15/0.41  % (19906)Memory used [KB]: 2805
% 0.15/0.41  % (19906)Time elapsed: 0.089 s
% 0.15/0.41  % (19906)Instructions burned: 197 (million)
% 0.15/0.41  % (19906)------------------------------
% 0.15/0.41  % (19906)------------------------------
% 0.15/0.41  % (19901)Success in time 0.101 s
%------------------------------------------------------------------------------