TSTP Solution File: SYN702-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN702-1 : 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 : n021.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 : Sun May  5 12:11:58 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   25 (   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    :    9 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  10 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f212,plain,
    $false,
    inference(subsumption_resolution,[],[f209,f51]) ).

fof(f51,axiom,
    ! [X78,X76,X77,X75] : ~ p47(f20(f22(f24(f26(c55,X75),X76),X77),X78),X78),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_51) ).

fof(f209,plain,
    p47(f20(f22(f24(f26(c55,c51),c52),c53),c54),c54),
    inference(resolution,[],[f208,f73]) ).

fof(f73,axiom,
    ! [X163,X166,X164,X165] :
      ( ~ p47(f5(c48,f13(f16(f18(c50,X163),X165),X166)),X164)
      | p47(X163,X164) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_73) ).

fof(f208,plain,
    p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),c54),
    inference(resolution,[],[f201,f3]) ).

fof(f3,axiom,
    ! [X2] : p7(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).

fof(f201,plain,
    ! [X0] :
      ( ~ p7(c54,X0)
      | p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),X0) ),
    inference(resolution,[],[f178,f171]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
      | ~ p7(c54,X1)
      | p47(X0,X1) ),
    inference(resolution,[],[f76,f52]) ).

fof(f52,axiom,
    ! [X82,X80,X81,X79] :
      ( ~ p47(X81,X82)
      | ~ p4(X81,X79)
      | ~ p7(X82,X80)
      | p47(X79,X80) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_52) ).

fof(f76,axiom,
    p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_76) ).

fof(f178,plain,
    ! [X2,X3,X0,X1,X4] : p4(f5(X0,f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4)),f5(X0,f13(f16(f18(c50,f20(f22(f24(f26(c55,X1),X2),X3),X4)),f30(f32(f34(f36(c56,X1),X2),X3),X4)),f40(f42(f44(f46(c57,X1),X2),X3),X4)))),
    inference(resolution,[],[f79,f138]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X0,X1)
      | p4(f5(X2,X0),f5(X2,X1)) ),
    inference(resolution,[],[f57,f20]) ).

fof(f20,axiom,
    ! [X19] : p2(X19,X19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).

fof(f57,axiom,
    ! [X101,X99,X102,X100] :
      ( ~ p2(X99,X101)
      | ~ p3(X100,X102)
      | p4(f5(X99,X100),f5(X101,X102)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).

fof(f79,axiom,
    ! [X78,X76,X77,X75] : p3(f8(f10(c49,f13(f16(f18(c50,X75),X76),X77)),X78),f13(f16(f18(c50,f20(f22(f24(f26(c55,X75),X76),X77),X78)),f30(f32(f34(f36(c56,X75),X76),X77),X78)),f40(f42(f44(f46(c57,X75),X76),X77),X78))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_79) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN702-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 17:15:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (5293)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (5297)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (5295)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (5294)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (5296)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)
% 0.15/0.38  % (5299)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (5300)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (5301)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)
% 0.15/0.39  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  Detected maximum model sizes of [1,max,max,max,max,max,max,1,1,max,1,max,1,max,max,1,max,max,1,max,max,max,max]
% 0.15/0.39  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  % (5299)First to succeed.
% 0.15/0.39  % (5299)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5293"
% 0.15/0.39  TRYING [1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  % (5299)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (5299)------------------------------
% 0.15/0.39  % (5299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (5299)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (5299)Memory used [KB]: 866
% 0.15/0.39  % (5299)Time elapsed: 0.007 s
% 0.15/0.39  % (5299)Instructions burned: 10 (million)
% 0.15/0.39  % (5293)Success in time 0.024 s
%------------------------------------------------------------------------------