TSTP Solution File: SYN610-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN610-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n015.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 : Wed Aug 31 19:27:53 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  22   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f120,plain,
    $false,
    inference(subsumption_resolution,[],[f27,f117]) ).

fof(f117,plain,
    ! [X0] : ~ p3(f12(X0,c21),f15(f4(f6(f7(f8(c20)))))),
    inference(resolution,[],[f113,f4]) ).

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

fof(f113,plain,
    ! [X0,X1] :
      ( ~ p3(X0,f12(X1,c21))
      | ~ p3(X0,f15(f4(f6(f7(f8(c20)))))) ),
    inference(resolution,[],[f112,f19]) ).

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

fof(f112,plain,
    ! [X0] : ~ p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21)),
    inference(subsumption_resolution,[],[f110,f4]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21))
      | ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
    inference(resolution,[],[f93,f24]) ).

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

fof(f93,plain,
    ! [X0] : ~ p3(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))),f10(f14(f4(f9(c19)),c19),f12(X0,c21))),
    inference(resolution,[],[f63,f12]) ).

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

fof(f63,plain,
    ! [X4] : ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f9(f10(f14(f4(f9(c19)),c19),f12(X4,c21)))),
    inference(resolution,[],[f59,f29]) ).

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

fof(f59,plain,
    ! [X0,X1] :
      ( ~ p17(X0,f6(f7(f8(c20))))
      | ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21)))) ),
    inference(resolution,[],[f50,f2]) ).

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

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ p2(X0,f6(f7(f8(c20))))
      | ~ p2(X1,f9(f10(f14(f4(f9(c19)),c19),f12(X2,c21))))
      | ~ p17(X1,X0) ),
    inference(resolution,[],[f28,f20]) ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem    : SYN610-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 22:22:36 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.18/0.48  % (15494)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.48  % (15486)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.48  % (15477)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.49  TRYING [1]
% 0.18/0.49  TRYING [1]
% 0.18/0.49  % (15486)Instruction limit reached!
% 0.18/0.49  % (15486)------------------------------
% 0.18/0.49  % (15486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (15486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (15486)Termination reason: Unknown
% 0.18/0.49  % (15486)Termination phase: Finite model building constraint generation
% 0.18/0.49  
% 0.18/0.49  % (15486)Memory used [KB]: 6012
% 0.18/0.49  % (15486)Time elapsed: 0.010 s
% 0.18/0.49  % (15486)Instructions burned: 6 (million)
% 0.18/0.49  % (15486)------------------------------
% 0.18/0.49  % (15486)------------------------------
% 0.18/0.49  % (15472)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.49  % (15478)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (15494)First to succeed.
% 0.18/0.50  % (15493)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.50  % (15480)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (15494)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (15494)------------------------------
% 0.18/0.50  % (15494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (15494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (15494)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (15494)Memory used [KB]: 5884
% 0.18/0.50  % (15494)Time elapsed: 0.065 s
% 0.18/0.50  % (15494)Instructions burned: 10 (million)
% 0.18/0.50  % (15494)------------------------------
% 0.18/0.50  % (15494)------------------------------
% 0.18/0.50  % (15470)Success in time 0.169 s
%------------------------------------------------------------------------------