TSTP Solution File: SYN565-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN565-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.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 May 21 08:36:50 EDT 2024

% Result   : Unsatisfiable 2.38s 0.70s
% Output   : Refutation 2.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   28 (  15 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   39 (  20   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13265,plain,
    $false,
    inference(resolution,[],[f13255,f11]) ).

fof(f11,axiom,
    ~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_11) ).

fof(f13255,plain,
    ! [X0,X1] : p10(f9(f5(X0),f5(X1)),f5(f8(X1,X0))),
    inference(resolution,[],[f4223,f1001]) ).

fof(f1001,plain,
    ! [X0,X1] : p2(f9(X0,f5(f7(X1))),f9(X0,f5(X1))),
    inference(resolution,[],[f460,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).

fof(f460,plain,
    ! [X2,X0,X1] :
      ( ~ p2(X0,X1)
      | p2(f9(X0,f5(f7(X2))),f9(X1,f5(X2))) ),
    inference(resolution,[],[f17,f3]) ).

fof(f3,axiom,
    ! [X2] : p2(f5(f7(X2)),f5(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).

fof(f17,axiom,
    ! [X34,X35,X32,X33] :
      ( ~ p2(X33,X35)
      | ~ p2(X32,X34)
      | p2(f9(X32,X33),f9(X34,X35)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).

fof(f4223,plain,
    ! [X2,X0,X1] :
      ( ~ p2(f9(f5(X0),f5(f7(X1))),X2)
      | p10(X2,f5(f8(X1,X0))) ),
    inference(resolution,[],[f119,f257]) ).

fof(f257,plain,
    ! [X0,X1] : p2(f5(f6(X0,f7(X1))),f5(f8(X1,X0))),
    inference(resolution,[],[f250,f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,axiom,
    ! [X0,X11,X12] :
      ( ~ p2(X0,X12)
      | ~ p2(X0,X11)
      | p2(X11,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

fof(f250,plain,
    ! [X0,X1] : p2(f5(f8(X0,X1)),f5(f6(X1,f7(X0)))),
    inference(resolution,[],[f165,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ p2(f5(f7(X0)),X1)
      | p2(X1,f5(X0)) ),
    inference(resolution,[],[f8,f3]) ).

fof(f165,plain,
    ! [X0,X1] : p2(f5(f7(f6(X0,f7(X1)))),f5(f8(X1,X0))),
    inference(resolution,[],[f158,f6]) ).

fof(f6,axiom,
    ! [X8,X7] :
      ( ~ p4(X7,X8)
      | p2(f5(X7),f5(X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).

fof(f158,plain,
    ! [X0,X1] : p4(f7(f6(X0,f7(X1))),f8(X1,X0)),
    inference(resolution,[],[f33,f23]) ).

fof(f23,plain,
    ! [X0,X1] : p4(f7(f8(X0,X1)),f7(f6(X0,f7(X1)))),
    inference(resolution,[],[f7,f4]) ).

fof(f4,axiom,
    ! [X3,X4] : p4(f8(X3,X4),f6(X3,f7(X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).

fof(f7,axiom,
    ! [X10,X9] :
      ( ~ p4(X9,X10)
      | p4(f7(X9),f7(X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_7) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ p4(f7(f8(X0,X1)),X2)
      | p4(X2,f8(X1,X0)) ),
    inference(resolution,[],[f9,f5]) ).

fof(f5,axiom,
    ! [X6,X5] : p4(f7(f8(X5,X6)),f8(X6,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).

fof(f9,axiom,
    ! [X1,X14,X13] :
      ( ~ p4(X1,X14)
      | ~ p4(X1,X13)
      | p4(X13,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_9) ).

fof(f119,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f5(f6(X0,X1)),X2)
      | ~ p2(f9(f5(X0),f5(X1)),X3)
      | p10(X3,X2) ),
    inference(resolution,[],[f14,f75]) ).

fof(f75,plain,
    ! [X0,X1] : p10(f9(f5(X0),f5(X1)),f5(f6(X0,X1))),
    inference(resolution,[],[f13,f10]) ).

fof(f10,axiom,
    ! [X16,X15] : p10(f5(X15),f3(f5(f6(X15,X16)),f5(X16))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_10) ).

fof(f13,axiom,
    ! [X18,X19,X17] :
      ( ~ p10(X17,f3(X18,X19))
      | p10(f9(X17,X19),X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_13) ).

fof(f14,axiom,
    ! [X21,X22,X23,X20] :
      ( ~ p10(X22,X23)
      | ~ p2(X23,X21)
      | ~ p2(X22,X20)
      | p10(X20,X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN565-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 14:30:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (31142)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39  % (31145)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39  % (31144)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39  % (31146)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)
% 0.22/0.39  % (31148)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.39  % (31147)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39  % (31150)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)
% 0.22/0.39  % (31149)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [3]
% 0.22/0.40  TRYING [3]
% 0.22/0.42  TRYING [4]
% 0.22/0.42  TRYING [4]
% 0.22/0.42  TRYING [4]
% 0.22/0.42  TRYING [4]
% 1.40/0.61  TRYING [5]
% 1.40/0.62  TRYING [5]
% 2.03/0.64  TRYING [5]
% 2.03/0.65  TRYING [5]
% 2.38/0.70  % (31148)First to succeed.
% 2.38/0.70  % (31148)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31142"
% 2.38/0.70  % (31148)Refutation found. Thanks to Tanya!
% 2.38/0.70  % SZS status Unsatisfiable for theBenchmark
% 2.38/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.70  % (31148)------------------------------
% 2.38/0.70  % (31148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.38/0.70  % (31148)Termination reason: Refutation
% 2.38/0.70  
% 2.38/0.70  % (31148)Memory used [KB]: 4533
% 2.38/0.70  % (31148)Time elapsed: 0.311 s
% 2.38/0.70  % (31148)Instructions burned: 553 (million)
% 2.38/0.70  % (31142)Success in time 0.335 s
%------------------------------------------------------------------------------