TSTP Solution File: SYN609-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN609-1 : 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 : n007.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 08:37:00 EDT 2024

% Result   : Unsatisfiable 17.20s 2.84s
% Output   : Refutation 17.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (  10 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   65 (  34   ~;  31   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34981,plain,
    $false,
    inference(resolution,[],[f34978,f2216]) ).

fof(f2216,plain,
    p3(f15(f4(f6(f7(f8(c20))))),f12(f12(f15(f4(f6(f7(f8(c20))))),c21),c21)),
    inference(resolution,[],[f447,f147]) ).

fof(f147,plain,
    p3(f15(f4(f6(f7(f8(c20))))),f12(f15(f4(f6(f7(f8(c20))))),c21)),
    inference(resolution,[],[f77,f4]) ).

fof(f4,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).

fof(f77,plain,
    ! [X0] :
      ( ~ p3(f12(f15(f4(f6(f7(f8(c20))))),c21),X0)
      | p3(f15(f4(f6(f7(f8(c20))))),X0) ),
    inference(resolution,[],[f27,f19]) ).

fof(f19,axiom,
    ! [X2,X24,X23] :
      ( ~ p3(X2,X23)
      | ~ p3(X2,X24)
      | p3(X23,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_19) ).

fof(f27,axiom,
    p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_27) ).

fof(f447,plain,
    ! [X0] :
      ( ~ p3(f15(f4(f6(f7(f8(c20))))),X0)
      | p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21)) ),
    inference(resolution,[],[f146,f3]) ).

fof(f3,axiom,
    ! [X1] : p5(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ p5(c21,X1)
      | ~ p3(f15(f4(f6(f7(f8(c20))))),X0)
      | p3(f15(f4(f6(f7(f8(c20))))),f12(X0,X1)) ),
    inference(resolution,[],[f77,f26]) ).

fof(f26,axiom,
    ! [X48,X46,X47,X45] :
      ( p3(f12(X45,X46),f12(X47,X48))
      | ~ p3(X45,X47)
      | ~ p5(X46,X48) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_26) ).

fof(f34978,plain,
    ! [X0] : ~ p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21)),
    inference(subsumption_resolution,[],[f34976,f4]) ).

fof(f34976,plain,
    ! [X0] :
      ( ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))
      | ~ p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21)) ),
    inference(resolution,[],[f3231,f28]) ).

fof(f28,axiom,
    ! [X49] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X49,c21))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_28) ).

fof(f3231,plain,
    ! [X0,X1] :
      ( p17(f9(f10(X0,X1)),f6(f7(f8(c20))))
      | ~ p3(f14(f4(f9(c19)),c19),X0)
      | ~ p3(f15(f4(f6(f7(f8(c20))))),X1) ),
    inference(resolution,[],[f464,f113]) ).

fof(f113,plain,
    ! [X2,X3,X0,X1] :
      ( p3(f10(X3,X1),f10(X2,X0))
      | ~ p3(X2,X3)
      | ~ p3(X0,X1) ),
    inference(resolution,[],[f64,f4]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p3(f10(X0,X2),X4)
      | ~ p3(X2,X3)
      | ~ p3(X0,X1)
      | p3(f10(X1,X3),X4) ),
    inference(resolution,[],[f24,f19]) ).

fof(f24,axiom,
    ! [X40,X38,X39,X37] :
      ( p3(f10(X37,X38),f10(X39,X40))
      | ~ p3(X37,X39)
      | ~ p3(X38,X40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_24) ).

fof(f464,plain,
    ! [X0] :
      ( ~ p3(X0,f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))))
      | p17(f9(X0),f6(f7(f8(c20)))) ),
    inference(resolution,[],[f156,f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( p2(f9(X0),f9(X1))
      | ~ p3(X1,X0) ),
    inference(resolution,[],[f42,f2]) ).

fof(f2,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ p2(f9(X0),X1)
      | p2(f9(X2),X1)
      | ~ p3(X0,X2) ),
    inference(resolution,[],[f17,f12]) ).

fof(f12,axiom,
    ! [X10,X9] :
      ( p2(f9(X9),f9(X10))
      | ~ p3(X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

fof(f17,axiom,
    ! [X0,X19,X20] :
      ( ~ p2(X0,X19)
      | ~ p2(X0,X20)
      | p2(X19,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).

fof(f156,plain,
    ! [X0] :
      ( ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),X0)
      | p17(X0,f6(f7(f8(c20)))) ),
    inference(resolution,[],[f82,f2]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ p2(f6(f7(f8(c20))),X0)
      | ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),X1)
      | p17(X1,X0) ),
    inference(resolution,[],[f29,f20]) ).

fof(f20,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p17(X27,X28)
      | ~ p2(X28,X26)
      | ~ p2(X27,X25)
      | p17(X25,X26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_20) ).

fof(f29,axiom,
    p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_29) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN609-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 15:39:23 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  % (18925)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (18927)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (18926)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (18930)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (18929)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37  % (18931)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37  % (18932)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)
% 0.13/0.37  % (18928)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 [1,1,1,1]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [1,1]
% 0.13/0.38  TRYING [2,1,1,1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [2,1]
% 0.13/0.38  TRYING [3,1,1,1]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  TRYING [3,1]
% 0.13/0.38  TRYING [3]
% 0.13/0.39  TRYING [4,1,1,1]
% 0.13/0.40  TRYING [4]
% 0.13/0.40  TRYING [4]
% 0.13/0.40  TRYING [4,1]
% 0.20/0.46  TRYING [5,1]
% 0.20/0.46  TRYING [5]
% 0.20/0.46  TRYING [5,1,1,1]
% 0.20/0.47  TRYING [5]
% 2.07/0.64  TRYING [6,1]
% 2.07/0.66  TRYING [6]
% 2.51/0.75  TRYING [6,1,1,1]
% 2.93/0.81  TRYING [6]
% 5.14/1.09  TRYING [7]
% 10.95/1.93  TRYING [7,1,1,1]
% 10.95/1.96  TRYING [7,1]
% 12.32/2.11  TRYING [7]
% 12.40/2.12  TRYING [8]
% 17.20/2.84  % (18931)First to succeed.
% 17.20/2.84  % (18931)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18925"
% 17.20/2.84  % (18931)Refutation found. Thanks to Tanya!
% 17.20/2.84  % SZS status Unsatisfiable for theBenchmark
% 17.20/2.84  % SZS output start Proof for theBenchmark
% See solution above
% 17.20/2.84  % (18931)------------------------------
% 17.20/2.84  % (18931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 17.20/2.84  % (18931)Termination reason: Refutation
% 17.20/2.84  
% 17.20/2.84  % (18931)Memory used [KB]: 13715
% 17.20/2.84  % (18931)Time elapsed: 2.467 s
% 17.20/2.84  % (18931)Instructions burned: 4989 (million)
% 17.20/2.84  % (18925)Success in time 2.44 s
%------------------------------------------------------------------------------