TSTP Solution File: SYN637-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN637-1 : 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 : n003.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 18:04:39 EDT 2024

% Result   : Unsatisfiable 0.15s 0.45s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f226,plain,
    $false,
    inference(subsumption_resolution,[],[f218,f41]) ).

fof(f41,axiom,
    ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p22_41) ).

fof(f218,plain,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
    inference(resolution,[],[f204,f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),X0)
      | p22(X0,f16(f17(c27,f5(c25,c26,c27)))) ),
    inference(resolution,[],[f86,f4]) ).

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

fof(f86,plain,
    ! [X0,X1] :
      ( ~ p4(f16(f17(c27,f5(c25,c26,c27))),X0)
      | ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),X1)
      | p22(X1,X0) ),
    inference(resolution,[],[f40,f28]) ).

fof(f28,axiom,
    ! [X48,X46,X49,X47] :
      ( ~ p22(X48,X49)
      | ~ p4(X49,X47)
      | ~ p4(X48,X46)
      | p22(X46,X47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_28) ).

fof(f40,axiom,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_40) ).

fof(f204,plain,
    ! [X0,X1] : p4(f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27))),f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)))),
    inference(resolution,[],[f187,f12]) ).

fof(f12,axiom,
    ! [X10,X11] :
      ( ~ p4(X10,X11)
      | p4(f16(X10),f16(X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).

fof(f187,plain,
    ! [X0,X1] : p4(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27)),f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29))),
    inference(resolution,[],[f82,f4]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ p4(X0,X1)
      | p4(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X2,c27)),f17(X1,f5(f8(f11(c25),f9(f10(c25),c28)),X2,c29))) ),
    inference(resolution,[],[f39,f32]) ).

fof(f32,axiom,
    ! [X65,X62,X63,X64] :
      ( ~ p4(X63,X65)
      | ~ p4(X62,X64)
      | p4(f17(X62,X63),f17(X64,X65)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_32) ).

fof(f39,axiom,
    ! [X73] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),X73,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X73,c29)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.19  % Problem    : SYN637-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.21  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.42  % Computer : n003.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8042.1875MB
% 0.15/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.42  % CPULimit   : 300
% 0.15/0.42  % WCLimit    : 300
% 0.15/0.42  % DateTime   : Tue Apr 30 01:56:18 EDT 2024
% 0.15/0.43  % CPUTime    : 
% 0.15/0.43  % (28656)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.45  % (28658)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.45  % (28661)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.45  % (28659)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)
% 0.15/0.45  % (28657)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.45  % (28660)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.45  % (28663)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.45  % (28664)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)
% 0.15/0.45  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.45  Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max]
% 0.15/0.45  TRYING [1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.45  TRYING [1]
% 0.15/0.45  TRYING [1]
% 0.15/0.45  TRYING [2,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.45  TRYING [2]
% 0.15/0.45  Detected minimum model sizes of [1,1]
% 0.15/0.45  Detected maximum model sizes of [max,1]
% 0.15/0.45  TRYING [1,1]
% 0.15/0.45  TRYING [2]
% 0.15/0.45  % (28661)First to succeed.
% 0.15/0.45  TRYING [2,1]
% 0.15/0.45  % (28661)Refutation found. Thanks to Tanya!
% 0.15/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.45  % (28661)------------------------------
% 0.15/0.45  % (28661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.45  % (28661)Termination reason: Refutation
% 0.15/0.45  
% 0.15/0.45  % (28661)Memory used [KB]: 851
% 0.15/0.45  % (28661)Time elapsed: 0.007 s
% 0.15/0.45  % (28661)Instructions burned: 10 (million)
% 0.15/0.45  % (28661)------------------------------
% 0.15/0.45  % (28661)------------------------------
% 0.15/0.45  % (28656)Success in time 0.024 s
%------------------------------------------------------------------------------