TSTP Solution File: SYN625-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN625-1 : 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 : n025.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 12:11:43 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (   4 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   48 (  15   ~;  33   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-5 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f170,plain,
    $false,
    inference(subsumption_resolution,[],[f169,f8]) ).

fof(f8,axiom,
    ~ p15(f4(f7(c19,c20),c21)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f4_is_not_p15_8) ).

fof(f169,plain,
    p15(f4(f7(c19,c20),c21)),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ( p15(f4(f7(c19,c20),c21))
    | p15(f4(f7(c19,c20),c21)) ),
    inference(resolution,[],[f159,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( p17(f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),f11(X1))
      | p15(f4(f7(X0,X1),c21)) ),
    inference(resolution,[],[f101,f1]) ).

fof(f1,axiom,
    p15(c21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p15_1) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ p15(X0)
      | p15(f4(f7(X1,X2),X0))
      | p17(f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f11(X2)) ),
    inference(resolution,[],[f72,f10]) ).

fof(f10,axiom,
    ! [X10,X9] :
      ( ~ p18(f9(X9),X10,X10)
      | ~ p15(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_10) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))
      | p17(f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f11(X2))
      | p15(f4(f7(X1,X2),X0)) ),
    inference(resolution,[],[f33,f15]) ).

fof(f15,axiom,
    ! [X9] :
      ( p18(f9(X9),f14(X9),f14(X9))
      | p15(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_15) ).

fof(f33,axiom,
    ! [X65,X63,X66,X67,X64] :
      ( ~ p18(f9(f4(f7(X65,X67),X63)),X64,X66)
      | p18(f9(X63),X64,X66)
      | p17(f12(X63,X65,X67,X64,X66),f11(X67)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_33) ).

fof(f159,plain,
    ! [X0] :
      ( ~ p17(f12(c21,c19,X0,f14(f4(f7(c19,X0),c21)),f14(f4(f7(c19,X0),c21))),f11(c20))
      | p15(f4(f7(c19,X0),c21)) ),
    inference(resolution,[],[f157,f16]) ).

fof(f16,axiom,
    ! [X19] :
      ( ~ p16(f9(c21),X19,c19)
      | ~ p17(X19,f11(c20)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_16) ).

fof(f157,plain,
    ! [X0,X1] :
      ( p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),X0)
      | p15(f4(f7(X0,X1),c21)) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( p15(f4(f7(X0,X1),c21))
      | p15(f4(f7(X0,X1),c21))
      | p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),X0) ),
    inference(resolution,[],[f148,f89]) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( ~ p16(f9(c21),X2,f14(f4(f7(X0,X1),c21)))
      | p15(f4(f7(X0,X1),c21))
      | p16(f9(c21),X2,X0) ),
    inference(resolution,[],[f84,f23]) ).

fof(f23,axiom,
    ! [X8,X6,X7,X32] :
      ( ~ p16(X6,X32,X8)
      | ~ p16(X6,X7,X32)
      | p16(X6,X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).

fof(f84,plain,
    ! [X0,X1] :
      ( p16(f9(c21),f14(f4(f7(X0,X1),c21)),X0)
      | p15(f4(f7(X0,X1),c21)) ),
    inference(resolution,[],[f79,f1]) ).

fof(f79,plain,
    ! [X2,X0,X1] :
      ( ~ p15(X0)
      | p15(f4(f7(X1,X2),X0))
      | p16(f9(X0),f14(f4(f7(X1,X2),X0)),X1) ),
    inference(resolution,[],[f67,f10]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))
      | p16(f9(X0),f14(f4(f7(X1,X2),X0)),X1)
      | p15(f4(f7(X1,X2),X0)) ),
    inference(resolution,[],[f32,f15]) ).

fof(f32,axiom,
    ! [X65,X63,X66,X67,X64] :
      ( ~ p18(f9(f4(f7(X65,X67),X63)),X64,X66)
      | p16(f9(X63),X64,X65)
      | p18(f9(X63),X64,X66) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_32) ).

fof(f148,plain,
    ! [X0,X1] :
      ( p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),f14(f4(f7(X0,X1),c21)))
      | p15(f4(f7(X0,X1),c21)) ),
    inference(resolution,[],[f143,f1]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( ~ p15(X0)
      | p15(f4(f7(X1,X2),X0))
      | p16(f9(X0),f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f14(f4(f7(X1,X2),X0))) ),
    inference(resolution,[],[f73,f10]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))
      | p16(f9(X0),f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f14(f4(f7(X1,X2),X0)))
      | p15(f4(f7(X1,X2),X0)) ),
    inference(resolution,[],[f34,f15]) ).

fof(f34,axiom,
    ! [X65,X63,X66,X67,X64] :
      ( ~ p18(f9(f4(f7(X65,X67),X63)),X64,X66)
      | p18(f9(X63),X64,X66)
      | p16(f9(X63),f12(X63,X65,X67,X64,X66),X66) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_34) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN625-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36  % Computer : n025.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Fri May  3 17:50:23 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  % (600)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38  % (606)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38  % (607)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)
% 0.13/0.38  % (604)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38  % (602)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38  % (605)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38  % (601)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38  % (603)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)
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  Detected minimum model sizes of [1,1,1]
% 0.13/0.38  Detected maximum model sizes of [max,max,1]
% 0.13/0.38  Detected minimum model sizes of [1,1,1]
% 0.13/0.38  Detected maximum model sizes of [max,max,1]
% 0.13/0.38  TRYING [1,1,1]
% 0.13/0.38  TRYING [1,1,1]
% 0.13/0.38  TRYING [2,1,1]
% 0.13/0.38  TRYING [2,1,1]
% 0.13/0.39  TRYING [3,1,1]
% 0.13/0.39  TRYING [3,1,1]
% 0.13/0.39  % (605)First to succeed.
% 0.13/0.39  % (605)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-600"
% 0.13/0.39  % (605)Refutation found. Thanks to Tanya!
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39  % (605)------------------------------
% 0.13/0.39  % (605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39  % (605)Termination reason: Refutation
% 0.13/0.39  
% 0.13/0.39  % (605)Memory used [KB]: 854
% 0.13/0.39  % (605)Time elapsed: 0.009 s
% 0.13/0.39  % (605)Instructions burned: 13 (million)
% 0.13/0.39  % (600)Success in time 0.015 s
%------------------------------------------------------------------------------