TSTP Solution File: SYN569-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN569-1 : 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 : n023.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 18:04:28 EDT 2024

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  15 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  20   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1618,plain,
    $false,
    inference(subsumption_resolution,[],[f1605,f754]) ).

fof(f754,plain,
    ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))),
    inference(subsumption_resolution,[],[f752,f5]) ).

fof(f5,axiom,
    p8(c11,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_5) ).

fof(f752,plain,
    ( ~ p8(c11,c14)
    | ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))) ),
    inference(resolution,[],[f20,f3]) ).

fof(f3,axiom,
    p8(c14,c12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).

fof(f20,axiom,
    ! [X41] :
      ( ~ p8(X41,c12)
      | ~ p8(c11,X41)
      | ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X41))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_20) ).

fof(f1605,plain,
    p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))),
    inference(resolution,[],[f98,f242]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ~ p2(f4(X0,c15),X1)
      | p2(X1,f4(X0,f3(c14))) ),
    inference(resolution,[],[f237,f10]) ).

fof(f10,axiom,
    ! [X0,X8,X9] :
      ( ~ p2(X0,X9)
      | ~ p2(X0,X8)
      | p2(X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).

fof(f237,plain,
    ! [X0] : p2(f4(X0,c15),f4(X0,f3(c14))),
    inference(resolution,[],[f210,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f210,plain,
    ! [X0] : p2(f4(X0,f3(c14)),f4(X0,c15)),
    inference(resolution,[],[f103,f1]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(f4(X0,f3(c14)),f4(X1,c15)) ),
    inference(resolution,[],[f16,f34]) ).

fof(f34,plain,
    p2(f3(c14),c15),
    inference(resolution,[],[f33,f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ p9(c13,X0,c14)
      | p2(X0,c15) ),
    inference(resolution,[],[f11,f6]) ).

fof(f6,axiom,
    p9(c13,c15,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).

fof(f11,axiom,
    ! [X10,X11,X12,X13] :
      ( ~ p9(X12,X11,X13)
      | p2(X10,X11)
      | ~ p9(X12,X10,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

fof(f33,plain,
    p9(c13,f3(c14),c14),
    inference(subsumption_resolution,[],[f31,f23]) ).

fof(f23,plain,
    p10(c11,c14),
    inference(resolution,[],[f7,f5]) ).

fof(f7,axiom,
    ! [X2,X3] :
      ( ~ p8(X2,X3)
      | p10(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).

fof(f31,plain,
    ( ~ p10(c11,c14)
    | p9(c13,f3(c14),c14) ),
    inference(resolution,[],[f12,f21]) ).

fof(f21,plain,
    p10(c14,c12),
    inference(resolution,[],[f7,f3]) ).

fof(f12,axiom,
    ! [X14] :
      ( ~ p10(X14,c12)
      | ~ p10(c11,X14)
      | p9(c13,f3(X14),X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_12) ).

fof(f16,axiom,
    ! [X26,X24,X25,X23] :
      ( ~ p2(X24,X26)
      | ~ p2(X23,X25)
      | p2(f4(X23,X24),f4(X25,X26)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).

fof(f98,plain,
    p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
    inference(resolution,[],[f15,f27]) ).

fof(f15,axiom,
    p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN569-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 02:05:40 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (7002)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (7008)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (7005)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)
% 0.14/0.37  % (7004)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (7006)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  % (7007)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (7003)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (7009)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)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  Detected minimum model sizes of [1,1]
% 0.14/0.37  Detected maximum model sizes of [max,1]
% 0.14/0.37  TRYING [1,1]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  Detected minimum model sizes of [1,1]
% 0.14/0.37  Detected maximum model sizes of [max,1]
% 0.14/0.37  TRYING [1,1]
% 0.14/0.37  TRYING [2,1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2,1]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [3,1]
% 0.14/0.37  TRYING [3,1]
% 0.14/0.37  TRYING [3]
% 0.14/0.38  TRYING [4,1]
% 0.14/0.38  TRYING [4,1]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [4]
% 0.14/0.40  % (7007)First to succeed.
% 0.14/0.40  % (7007)Refutation found. Thanks to Tanya!
% 0.14/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40  % (7007)------------------------------
% 0.14/0.40  % (7007)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40  % (7007)Termination reason: Refutation
% 0.14/0.40  
% 0.14/0.40  % (7007)Memory used [KB]: 1304
% 0.14/0.40  % (7007)Time elapsed: 0.032 s
% 0.14/0.40  % (7007)Instructions burned: 61 (million)
% 0.14/0.40  % (7007)------------------------------
% 0.14/0.40  % (7007)------------------------------
% 0.14/0.40  % (7002)Success in time 0.037 s
%------------------------------------------------------------------------------