TSTP Solution File: SET008-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:23:01 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   8   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(resolution,[],[f138,f20]) ).

fof(f20,axiom,
    ~ intersection(a,bDa,aI_bDa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_bDa) ).

fof(f138,plain,
    intersection(a,bDa,aI_bDa),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ( intersection(a,bDa,aI_bDa)
    | intersection(a,bDa,aI_bDa) ),
    inference(resolution,[],[f96,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( member(h(X0,X1,aI_bDa),X0)
      | intersection(X0,X1,aI_bDa) ),
    inference(resolution,[],[f10,f21]) ).

fof(f21,axiom,
    ! [X8] : ~ member(X8,aI_bDa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aI_bDa_is_empty) ).

fof(f10,axiom,
    ! [X3,X4,X5] :
      ( member(h(X3,X4,X5),X5)
      | member(h(X3,X4,X5),X3)
      | intersection(X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_axiom1) ).

fof(f96,plain,
    ! [X1] :
      ( ~ member(h(X1,bDa,aI_bDa),a)
      | intersection(X1,bDa,aI_bDa) ),
    inference(resolution,[],[f79,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ member(X0,bDa)
      | ~ member(X0,a) ),
    inference(resolution,[],[f14,f19]) ).

fof(f19,axiom,
    difference(b,a,bDa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).

fof(f14,axiom,
    ! [X3,X0,X7,X4] :
      ( ~ difference(X7,X3,X4)
      | ~ member(X0,X3)
      | ~ member(X0,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_member_of_difference) ).

fof(f79,plain,
    ! [X0,X1] :
      ( member(h(X0,X1,aI_bDa),X1)
      | intersection(X0,X1,aI_bDa) ),
    inference(resolution,[],[f11,f21]) ).

fof(f11,axiom,
    ! [X3,X4,X5] :
      ( member(h(X3,X4,X5),X5)
      | member(h(X3,X4,X5),X4)
      | intersection(X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_axiom2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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   : Tue Aug 30 12:35:46 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.56  % (8865)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (8864)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.57  % (8878)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.58  % (8872)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.58  % (8879)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.58  % (8881)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.58  TRYING [1]
% 0.20/0.58  TRYING [2]
% 0.20/0.58  % (8862)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  TRYING [3]
% 0.20/0.58  % (8862)First to succeed.
% 0.20/0.58  % (8862)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58  % (8862)------------------------------
% 0.20/0.58  % (8862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (8862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (8862)Termination reason: Refutation
% 0.20/0.58  
% 0.20/0.58  % (8862)Memory used [KB]: 5500
% 0.20/0.58  % (8862)Time elapsed: 0.161 s
% 0.20/0.58  % (8862)Instructions burned: 4 (million)
% 0.20/0.58  % (8862)------------------------------
% 0.20/0.58  % (8862)------------------------------
% 0.20/0.58  % (8858)Success in time 0.23 s
%------------------------------------------------------------------------------