%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n005.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 18:12:09 EDT 2022

% Result   : Theorem 0.21s 0.48s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (  17 unt;   0 def)
%            Number of atoms       :   71 (   2 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   73 (  33   ~;  28   |;   2   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(subsumption_resolution,[],[f86,f48]) ).

fof(f48,plain,
    professor(victor),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    professor(victor),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_type) ).

fof(f86,plain,
    ~ professor(victor),
    inference(subsumption_resolution,[],[f85,f69]) ).

fof(f69,plain,
    teaches(victor,csc410),
    inference(subsumption_resolution,[],[f68,f54]) ).

fof(f54,plain,
    course(csc410),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    course(csc410),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',csc410_type) ).

fof(f68,plain,
    ( teaches(victor,csc410)
    | ~ course(csc410) ),
    inference(superposition,[],[f64,f61]) ).

fof(f61,plain,
    victor = coordinatorof(csc410),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    victor = coordinatorof(csc410),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).

fof(f64,plain,
    ! [X0] :
      ( teaches(coordinatorof(X0),X0)
      | ~ course(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( teaches(coordinatorof(X0),X0)
      | ~ course(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( course(X0)
     => teaches(coordinatorof(X0),X0) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1] :
      ( course(X1)
     => teaches(coordinatorof(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_teaches) ).

fof(f85,plain,
    ( ~ teaches(victor,csc410)
    | ~ professor(victor) ),
    inference(resolution,[],[f84,f55]) ).

fof(f55,plain,
    ~ taughtby(michael,victor),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ taughtby(michael,victor),
    inference(flattening,[],[f17]) ).

fof(f17,negated_conjecture,
    ~ taughtby(michael,victor),
    inference(negated_conjecture,[],[f16]) ).

fof(f16,conjecture,
    taughtby(michael,victor),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',teaching_conjecture) ).

fof(f84,plain,
    ! [X0] :
      ( taughtby(michael,X0)
      | ~ professor(X0)
      | ~ teaches(X0,csc410) ),
    inference(subsumption_resolution,[],[f81,f54]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ professor(X0)
      | ~ course(csc410)
      | taughtby(michael,X0)
      | ~ teaches(X0,csc410) ),
    inference(resolution,[],[f71,f62]) ).

fof(f62,plain,
    enrolled(michael,csc410),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    enrolled(michael,csc410),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).

fof(f71,plain,
    ! [X2,X3] :
      ( ~ enrolled(michael,X3)
      | ~ course(X3)
      | taughtby(michael,X2)
      | ~ professor(X2)
      | ~ teaches(X2,X3) ),
    inference(resolution,[],[f49,f66]) ).

fof(f66,plain,
    student(michael),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    student(michael),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_type) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ student(X0)
      | ~ professor(X2)
      | taughtby(X0,X2)
      | ~ course(X1)
      | ~ enrolled(X0,X1)
      | ~ teaches(X2,X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ student(X0)
      | ~ course(X1)
      | ~ enrolled(X0,X1)
      | ! [X2] :
          ( taughtby(X0,X2)
          | ~ professor(X2)
          | ~ teaches(X2,X1) ) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( taughtby(X0,X2)
          | ~ teaches(X2,X1)
          | ~ professor(X2) )
      | ~ enrolled(X0,X1)
      | ~ student(X0)
      | ~ course(X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( student(X0)
        & course(X1) )
     => ( enrolled(X0,X1)
       => ! [X2] :
            ( professor(X2)
           => ( teaches(X2,X1)
             => taughtby(X0,X2) ) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X2] :
      ( ( student(X1)
        & course(X2) )
     => ( enrolled(X1,X2)
       => ! [X3] :
            ( professor(X3)
           => ( teaches(X3,X2)
             => taughtby(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_enrolled_taught) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 10:54:18 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.47  % (8585)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.21/0.47  % (8575)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.21/0.48  % (8575)First to succeed.
% 0.21/0.48  % (8585)Also succeeded, but the first one will report.
% 0.21/0.48  % (8575)Refutation found. Thanks to Tanya!
% 0.21/0.48  % SZS status Theorem for theBenchmark
% 0.21/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48  % (8575)------------------------------
% 0.21/0.48  % (8575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48  % (8575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48  % (8575)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (8575)Memory used [KB]: 895
% 0.21/0.48  % (8575)Time elapsed: 0.049 s
% 0.21/0.48  % (8575)Instructions burned: 2 (million)
% 0.21/0.48  % (8575)------------------------------
% 0.21/0.48  % (8575)------------------------------
% 0.21/0.48  % (8558)Success in time 0.12 s
%------------------------------------------------------------------------------