TSTP Solution File: SYN631-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN631-1 : 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 : n028.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 18:04:37 EDT 2024

% Result   : Unsatisfiable 4.02s 0.94s
% Output   : Refutation 4.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   25 (  14 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   33 (  17   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43921,plain,
    $false,
    inference(subsumption_resolution,[],[f43920,f13]) ).

fof(f13,axiom,
    ~ p23(f13(f16(c27),f14(c28)),f11(c24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_13) ).

fof(f43920,plain,
    p23(f13(f16(c27),f14(c28)),f11(c24)),
    inference(resolution,[],[f43914,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).

fof(f43914,plain,
    ! [X0] :
      ( ~ p10(f11(c24),X0)
      | p23(f13(f16(c27),f14(c28)),X0) ),
    inference(resolution,[],[f1476,f6287]) ).

fof(f6287,plain,
    ! [X0] : p12(f13(f19(c24,c27,f14(c28)),X0),f13(f16(c27),X0)),
    inference(resolution,[],[f6264,f608]) ).

fof(f608,plain,
    ! [X2,X0,X1] :
      ( ~ p5(X0,X1)
      | p12(f13(X0,X2),f13(X1,X2)) ),
    inference(resolution,[],[f32,f5]) ).

fof(f5,axiom,
    ! [X4] : p5(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_5) ).

fof(f32,axiom,
    ! [X56,X54,X57,X55] :
      ( ~ p5(X55,X57)
      | ~ p5(X54,X56)
      | p12(f13(X54,X55),f13(X56,X57)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_32) ).

fof(f6264,plain,
    p5(f19(c24,c27,f14(c28)),f16(c27)),
    inference(resolution,[],[f6232,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ p5(X0,X1)
      | p5(X1,X0) ),
    inference(resolution,[],[f25,f5]) ).

fof(f25,axiom,
    ! [X4,X34,X35] :
      ( ~ p5(X4,X35)
      | ~ p5(X4,X34)
      | p5(X34,X35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_25) ).

fof(f6232,plain,
    p5(f16(c27),f19(c24,c27,f14(c28))),
    inference(resolution,[],[f1166,f80]) ).

fof(f80,plain,
    ! [X2,X0,X1] :
      ( ~ p5(f16(f18(X0,X1)),X2)
      | p5(X2,X1) ),
    inference(resolution,[],[f25,f11]) ).

fof(f11,axiom,
    ! [X10,X11] : p5(f16(f18(X10,X11)),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_11) ).

fof(f1166,plain,
    p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(c27)),
    inference(resolution,[],[f1161,f18]) ).

fof(f18,axiom,
    ! [X21,X20] :
      ( ~ p5(X20,X21)
      | p5(f16(X20),f16(X21)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_18) ).

fof(f1161,plain,
    p5(f18(f20(c29),f19(c24,c27,f14(c28))),c27),
    inference(resolution,[],[f1154,f78]) ).

fof(f1154,plain,
    p5(c27,f18(f20(c29),f19(c24,c27,f14(c28)))),
    inference(resolution,[],[f34,f12]) ).

fof(f12,axiom,
    p23(f13(c27,f14(c28)),f11(f15(c24))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_12) ).

fof(f34,axiom,
    ! [X62,X63,X64] :
      ( ~ p23(f13(X62,X64),f11(f15(X63)))
      | p5(X62,f18(f20(c29),f19(X63,X62,X64))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_34) ).

fof(f1476,plain,
    ! [X0,X1] :
      ( ~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),X0)
      | ~ p10(f11(c24),X1)
      | p23(X0,X1) ),
    inference(resolution,[],[f1475,f29]) ).

fof(f29,axiom,
    ! [X44,X45,X42,X43] :
      ( ~ p23(X44,X45)
      | ~ p12(X44,X42)
      | ~ p10(X45,X43)
      | p23(X42,X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_29) ).

fof(f1475,plain,
    p23(f13(f19(c24,c27,f14(c28)),f14(c28)),f11(c24)),
    inference(resolution,[],[f35,f12]) ).

fof(f35,axiom,
    ! [X62,X63,X64] :
      ( ~ p23(f13(X62,X64),f11(f15(X63)))
      | p23(f13(f19(X63,X62,X64),X64),f11(X63)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN631-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n028.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   : Tue Apr 30 02:08:29 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (22611)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (22613)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (22614)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (22617)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (22618)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (22615)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)
% 0.14/0.39  % (22619)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)
% 0.14/0.39  % (22616)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  Detected maximum model sizes of [1,max,max,max,max,max,max,max,max,max,max,max]
% 0.14/0.39  TRYING [1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [1,2,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  Detected minimum model sizes of [1,1,1,1]
% 0.14/0.39  Detected maximum model sizes of [max,1,1,max]
% 0.14/0.39  TRYING [1,1,1,1]
% 0.14/0.39  TRYING [2,1,1,1]
% 0.14/0.39  TRYING [1,3,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3,1,1,1]
% 0.14/0.40  TRYING [1,4,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4,1,1,1]
% 0.14/0.41  TRYING [4]
% 0.21/0.43  TRYING [1,5,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.43  TRYING [5,1,1,1]
% 0.21/0.43  TRYING [5]
% 0.21/0.44  TRYING [5]
% 0.21/0.50  TRYING [6,1,1,1]
% 0.21/0.50  TRYING [1,6,1,1,1,1,1,1,1,1,1,1]
% 0.21/0.51  TRYING [6]
% 0.21/0.53  TRYING [6]
% 1.91/0.71  TRYING [7,1,1,1]
% 2.51/0.73  TRYING [1,7,1,1,1,1,1,1,1,1,1,1]
% 2.51/0.75  TRYING [7]
% 2.51/0.76  TRYING [7]
% 4.02/0.94  % (22617)First to succeed.
% 4.02/0.94  % (22617)Refutation found. Thanks to Tanya!
% 4.02/0.94  % SZS status Unsatisfiable for theBenchmark
% 4.02/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 4.02/0.94  % (22617)------------------------------
% 4.02/0.94  % (22617)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.02/0.94  % (22617)Termination reason: Refutation
% 4.02/0.94  
% 4.02/0.94  % (22617)Memory used [KB]: 17219
% 4.02/0.94  % (22617)Time elapsed: 0.552 s
% 4.02/0.94  % (22617)Instructions burned: 1737 (million)
% 4.02/0.94  % (22617)------------------------------
% 4.02/0.94  % (22617)------------------------------
% 4.02/0.94  % (22611)Success in time 0.57 s
%------------------------------------------------------------------------------