TSTP Solution File: SYN596-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN596-1 : 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 : 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 : Tue May 21 08:36:57 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(subsumption_resolution,[],[f67,f21]) ).

fof(f21,axiom,
    ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_21) ).

fof(f67,plain,
    p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
    inference(resolution,[],[f64,f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X0)
      | p18(c20,X0) ),
    inference(resolution,[],[f49,f4]) ).

fof(f4,axiom,
    ! [X3] : p2(X3,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ p2(c20,X0)
      | ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X1)
      | p18(X0,X1) ),
    inference(resolution,[],[f23,f20]) ).

fof(f20,axiom,
    p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_20) ).

fof(f23,axiom,
    ! [X31,X34,X32,X33] :
      ( ~ p18(X33,X34)
      | ~ p2(X33,X31)
      | ~ p10(X34,X32)
      | p18(X31,X32) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_23) ).

fof(f64,plain,
    p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
    inference(resolution,[],[f28,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ p10(X0,X1)
      | p10(X1,X0) ),
    inference(resolution,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).

fof(f15,axiom,
    ! [X0,X18,X17] :
      ( ~ p10(X0,X18)
      | ~ p10(X0,X17)
      | p10(X17,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_15) ).

fof(f28,axiom,
    p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_28) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN596-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 14:16:52 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (11459)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (11465)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (11460)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (11461)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (11463)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (11464)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (11462)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)
% 0.14/0.38  % (11466)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)
% 0.14/0.38  % (11464)First to succeed.
% 0.14/0.38  TRYING [1]
% 0.14/0.38  Detected minimum model sizes of [1,1,1,1,1,1]
% 0.14/0.38  Detected maximum model sizes of [max,1,max,max,max,max]
% 0.14/0.38  TRYING [1,1,1,1,1,1]
% 0.14/0.38  % (11464)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11459"
% 0.14/0.38  TRYING [2]
% 0.14/0.38  Detected minimum model sizes of [1,1]
% 0.14/0.38  TRYING [2,1,1,1,1,1]
% 0.14/0.38  Detected maximum model sizes of [max,1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1,1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2,1]
% 0.14/0.38  % (11464)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (11464)------------------------------
% 0.14/0.38  % (11464)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (11464)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (11464)Memory used [KB]: 758
% 0.14/0.38  % (11464)Time elapsed: 0.004 s
% 0.14/0.38  % (11464)Instructions burned: 4 (million)
% 0.14/0.38  % (11459)Success in time 0.02 s
%------------------------------------------------------------------------------