TSTP Solution File: SYN712-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN712-1 : 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 : n004.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 18:04:51 EDT 2024

% Result   : Unsatisfiable 0.15s 0.33s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f281,plain,
    $false,
    inference(resolution,[],[f277,f67]) ).

fof(f67,axiom,
    ~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p62_67) ).

fof(f277,plain,
    ! [X0,X1] : p62(f5(c64,f8(f11(f13(c65,c66),X0),X1)),c69),
    inference(resolution,[],[f274,f98]) ).

fof(f98,axiom,
    ! [X215,X218,X216,X217] :
      ( ~ p62(X215,X216)
      | p62(f5(c64,f8(f11(f13(c65,X215),X217),X218)),X216) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_98) ).

fof(f274,plain,
    p62(c66,c69),
    inference(resolution,[],[f269,f99]) ).

fof(f99,axiom,
    ! [X224,X222,X223,X220,X221,X219] :
      ( ~ p62(f23(f25(f27(f29(f31(c74,X219),X221),X222),X223),X224),X220)
      | p62(X219,X220) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_99) ).

fof(f269,plain,
    p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
    inference(resolution,[],[f262,f97]) ).

fof(f97,axiom,
    ! [X215,X218,X216,X217] :
      ( ~ p62(f5(c64,f8(f11(f13(c65,X215),X217),X218)),X216)
      | p62(X215,X216) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_97) ).

fof(f262,plain,
    p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69),
    inference(resolution,[],[f238,f227]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X0)
      | p62(X0,c69) ),
    inference(resolution,[],[f226,f20]) ).

fof(f20,axiom,
    ! [X19] : p32(X19,X19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_20) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ p32(c69,X1)
      | ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X0)
      | p62(X0,X1) ),
    inference(resolution,[],[f100,f69]) ).

fof(f69,axiom,
    ! [X106,X104,X105,X103] :
      ( ~ p62(X105,X106)
      | ~ p4(X105,X103)
      | ~ p32(X106,X104)
      | p62(X103,X104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_69) ).

fof(f100,axiom,
    p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_100) ).

fof(f238,plain,
    ! [X2,X3,X0,X1,X4,X5] : p4(f5(X0,f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5)),f5(X0,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5)))),
    inference(resolution,[],[f104,f195]) ).

fof(f195,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X0,X1)
      | p4(f5(X2,X0),f5(X2,X1)) ),
    inference(resolution,[],[f82,f28]) ).

fof(f28,axiom,
    ! [X27] : p2(X27,X27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).

fof(f82,axiom,
    ! [X155,X158,X156,X157] :
      ( ~ p2(X155,X157)
      | ~ p3(X156,X158)
      | p4(f5(X155,X156),f5(X157,X158)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_82) ).

fof(f104,axiom,
    ! [X224,X222,X223,X221,X219] : p3(f16(f19(f21(c70,f8(f11(f13(c65,X219),X221),X222)),X223),X224),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X219),X221),X222),X223),X224)),f43(f45(f47(f49(f51(c75,X219),X221),X222),X223),X224)),f53(f55(f57(f59(f61(c76,X219),X221),X222),X223),X224))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_104) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN712-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n004.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 01:49:33 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (6818)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (6821)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)
% 0.15/0.33  % (6823)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33  % (6820)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33  % (6819)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33  % (6822)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33  % (6824)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33  % (6825)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)
% 0.15/0.33  % (6823)First to succeed.
% 0.15/0.33  % (6823)Refutation found. Thanks to Tanya!
% 0.15/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33  % (6823)------------------------------
% 0.15/0.33  % (6823)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33  % (6823)Termination reason: Refutation
% 0.15/0.33  
% 0.15/0.33  % (6823)Memory used [KB]: 937
% 0.15/0.33  % (6823)Time elapsed: 0.007 s
% 0.15/0.33  % (6823)Instructions burned: 12 (million)
% 0.15/0.33  % (6823)------------------------------
% 0.15/0.33  % (6823)------------------------------
% 0.15/0.33  % (6818)Success in time 0.024 s
%------------------------------------------------------------------------------