TSTP Solution File: PUZ131+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ131+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May  5 08:50:38 EDT 2024

% Result   : Theorem 0.15s 0.32s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (  16 unt;   0 def)
%            Number of atoms       :   75 (   2 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   85 (  41   ~;  32   |;   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   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(resolution,[],[f76,f50]) ).

fof(f50,plain,
    course(csc410),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    course(csc410),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).

fof(f76,plain,
    ~ course(csc410),
    inference(resolution,[],[f75,f49]) ).

fof(f49,plain,
    professor(victor),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    professor(victor),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).

fof(f75,plain,
    ( ~ professor(victor)
    | ~ course(csc410) ),
    inference(resolution,[],[f74,f48]) ).

fof(f48,plain,
    student(michael),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    student(michael),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).

fof(f74,plain,
    ( ~ student(michael)
    | ~ course(csc410)
    | ~ professor(victor) ),
    inference(resolution,[],[f73,f51]) ).

fof(f51,plain,
    enrolled(michael,csc410),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    enrolled(michael,csc410),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).

fof(f73,plain,
    ( ~ enrolled(michael,csc410)
    | ~ professor(victor)
    | ~ course(csc410)
    | ~ student(michael) ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f70,plain,
    ( ~ professor(victor)
    | ~ enrolled(michael,csc410)
    | ~ course(csc410)
    | ~ student(michael)
    | ~ course(csc410) ),
    inference(resolution,[],[f69,f68]) ).

fof(f68,plain,
    ( teaches(victor,csc410)
    | ~ course(csc410) ),
    inference(superposition,[],[f58,f52]) ).

fof(f52,plain,
    victor = coordinatorof(csc410),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    victor = coordinatorof(csc410),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).

fof(f58,plain,
    ! [X0] :
      ( teaches(coordinatorof(X0),X0)
      | ~ course(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( teaches(coordinatorof(X0),X0)
      | ~ course(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( course(X0)
     => teaches(coordinatorof(X0),X0) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1] :
      ( course(X1)
     => teaches(coordinatorof(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).

fof(f69,plain,
    ! [X0] :
      ( ~ teaches(victor,X0)
      | ~ professor(victor)
      | ~ enrolled(michael,X0)
      | ~ course(X0)
      | ~ student(michael) ),
    inference(resolution,[],[f63,f47]) ).

fof(f47,plain,
    ~ taughtby(michael,victor),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,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/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( taughtby(X0,X2)
      | ~ teaches(X2,X1)
      | ~ professor(X2)
      | ~ enrolled(X0,X1)
      | ~ course(X1)
      | ~ student(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( taughtby(X0,X2)
          | ~ teaches(X2,X1)
          | ~ professor(X2) )
      | ~ enrolled(X0,X1)
      | ~ course(X1)
      | ~ student(X0) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( taughtby(X0,X2)
          | ~ teaches(X2,X1)
          | ~ professor(X2) )
      | ~ enrolled(X0,X1)
      | ~ course(X1)
      | ~ student(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( course(X1)
        & student(X0) )
     => ( enrolled(X0,X1)
       => ! [X2] :
            ( professor(X2)
           => ( teaches(X2,X1)
             => taughtby(X0,X2) ) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X2] :
      ( ( course(X2)
        & student(X1) )
     => ( enrolled(X1,X2)
       => ! [X3] :
            ( professor(X3)
           => ( teaches(X3,X2)
             => taughtby(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : PUZ131+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30  % Computer : n015.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Fri May  3 18:03:53 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  % (8162)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (8165)WARNING: value z3 for option sas not known
% 0.15/0.32  % (8166)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32  % (8164)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32  % (8163)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32  % (8167)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.32  % (8168)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.32  % (8165)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32  % (8169)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [3]
% 0.15/0.32  TRYING [3]
% 0.15/0.32  % (8168)First to succeed.
% 0.15/0.32  TRYING [4]
% 0.15/0.32  % (8168)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8162"
% 0.15/0.32  TRYING [4]
% 0.15/0.32  % (8167)Also succeeded, but the first one will report.
% 0.15/0.32  % (8165)Also succeeded, but the first one will report.
% 0.15/0.32  % (8166)Also succeeded, but the first one will report.
% 0.15/0.32  % (8163)Also succeeded, but the first one will report.
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [3]
% 0.15/0.32  % (8168)Refutation found. Thanks to Tanya!
% 0.15/0.32  % SZS status Theorem for theBenchmark
% 0.15/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32  % (8168)------------------------------
% 0.15/0.32  % (8168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32  % (8168)Termination reason: Refutation
% 0.15/0.32  
% 0.15/0.32  % (8168)Memory used [KB]: 771
% 0.15/0.32  % (8168)Time elapsed: 0.004 s
% 0.15/0.32  % (8168)Instructions burned: 4 (million)
% 0.15/0.32  % (8162)Success in time 0.018 s
%------------------------------------------------------------------------------