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SPASS-SCL---0.1.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : SPASS-SCL---0.1.1
% Problem  : MGT112+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp
% Command  : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:20:16 AM UTC 2026

% Result   : Unsatisfiable 0.10s 0.37s
% Output   : Proof 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   37 (  33 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   46 (  18   ~;  14   |;  12   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   24 (   1 sgn  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
% FILE RECORD
fof(ax_disability_block,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( proh(X1)
        & aee(X1,X2)
        & aer(X1,X3)
        & act(X1,X4)
        & tgt(X1,X5) )
     => ~ ? [X6] :
            ( disability(X6)
            & bearer(X6,X3)
            & cnt(X6,X4,X5) ) ),
    file('theBenchmark.p',ax_disability_block) ).

% FOF SIMPLE INFERENCE
fof(ax_disability_block_elimTB,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( proh(X1)
        & aee(X1,X2)
        & aer(X1,X3)
        & act(X1,X4)
        & tgt(X1,X5) )
     => ~ ? [X6] :
            ( disability(X6)
            & bearer(X6,X3)
            & cnt(X6,X4,X5) ) ),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[ax_disability_block])]) ).

% FOF SIMPLE INFERENCE
fof(ax_disability_block_elimImpEquivPushNegMiniScope,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ~ proh(X1)
      | ~ aee(X1,X2)
      | ~ aer(X1,X3)
      | ~ act(X1,X4)
      | ~ tgt(X1,X5)
      | ! [X6] :
          ( ~ disability(X6)
          | ~ bearer(X6,X3)
          | ~ cnt(X6,X4,X5) ) ),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[ax_disability_block_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_1,plain,
    ( ~ proh(X0)
    | ~ aee(X0,X1)
    | ~ aer(X0,X2)
    | ~ act(X0,X3)
    | ~ tgt(X0,X4)
    | ~ disability(X5)
    | ~ bearer(X5,X2)
    | ~ cnt(X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ax_disability_block_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(cnt_db,axiom,
    cnt(db,read,museum_api),
    file('theBenchmark.p',cnt_db) ).

% FOF SIMPLE INFERENCE
fof(cnt_db_elimTB,axiom,
    cnt(db,read,museum_api),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[cnt_db])]) ).

% FOF SIMPLE INFERENCE
fof(cnt_db_elimImpEquivPushNegMiniScope,axiom,
    cnt(db,read,museum_api),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[cnt_db_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_23,plain,
    cnt(db,read,museum_api),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[cnt_db_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(aee_f2,axiom,
    aee(f2,bibliothek),
    file('theBenchmark.p',aee_f2) ).

% FOF SIMPLE INFERENCE
fof(aee_f2_elimTB,axiom,
    aee(f2,bibliothek),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[aee_f2])]) ).

% FOF SIMPLE INFERENCE
fof(aee_f2_elimImpEquivPushNegMiniScope,axiom,
    aee(f2,bibliothek),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[aee_f2_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_26,plain,
    aee(f2,bibliothek),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[aee_f2_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(aer_f2,axiom,
    aer(f2,museen),
    file('theBenchmark.p',aer_f2) ).

% FOF SIMPLE INFERENCE
fof(aer_f2_elimTB,axiom,
    aer(f2,museen),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[aer_f2])]) ).

% FOF SIMPLE INFERENCE
fof(aer_f2_elimImpEquivPushNegMiniScope,axiom,
    aer(f2,museen),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[aer_f2_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_27,plain,
    aer(f2,museen),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[aer_f2_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(act_f2,axiom,
    act(f2,read),
    file('theBenchmark.p',act_f2) ).

% FOF SIMPLE INFERENCE
fof(act_f2_elimTB,axiom,
    act(f2,read),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[act_f2])]) ).

% FOF SIMPLE INFERENCE
fof(act_f2_elimImpEquivPushNegMiniScope,axiom,
    act(f2,read),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[act_f2_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_28,plain,
    act(f2,read),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[act_f2_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(tgt_f2,axiom,
    tgt(f2,museum_api),
    file('theBenchmark.p',tgt_f2) ).

% FOF SIMPLE INFERENCE
fof(tgt_f2_elimTB,axiom,
    tgt(f2,museum_api),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[tgt_f2])]) ).

% FOF SIMPLE INFERENCE
fof(tgt_f2_elimImpEquivPushNegMiniScope,axiom,
    tgt(f2,museum_api),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[tgt_f2_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_29,plain,
    tgt(f2,museum_api),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[tgt_f2_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(bearer_db,axiom,
    bearer(db,museen),
    file('theBenchmark.p',bearer_db) ).

% FOF SIMPLE INFERENCE
fof(bearer_db_elimTB,axiom,
    bearer(db,museen),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[bearer_db])]) ).

% FOF SIMPLE INFERENCE
fof(bearer_db_elimImpEquivPushNegMiniScope,axiom,
    bearer(db,museen),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[bearer_db_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_19,plain,
    bearer(db,museen),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[bearer_db_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(proh_f2,axiom,
    proh(f2),
    file('theBenchmark.p',proh_f2) ).

% FOF SIMPLE INFERENCE
fof(proh_f2_elimTB,axiom,
    proh(f2),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[proh_f2])]) ).

% FOF SIMPLE INFERENCE
fof(proh_f2_elimImpEquivPushNegMiniScope,axiom,
    proh(f2),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[proh_f2_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_25,plain,
    proh(f2),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[proh_f2_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(disability_db,axiom,
    disability(db),
    file('theBenchmark.p',disability_db) ).

% FOF SIMPLE INFERENCE
fof(disability_db_elimTB,axiom,
    disability(db),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[disability_db])]) ).

% FOF SIMPLE INFERENCE
fof(disability_db_elimImpEquivPushNegMiniScope,axiom,
    disability(db),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[disability_db_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_15,plain,
    disability(db),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[disability_db_elimImpEquivPushNegMiniScope])]) ).

% CNF SPASS RESOLUTION.
cnf(c_30,plain,
    $false,
    inference(resolution,[status(thm)],[c_1,c_23,c_26,c_27,c_28,c_29,c_19,c_25,c_15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT112+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n003.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep  7 14:08:24 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  
% 0.10/0.37  % Input Clauses:
% 0.10/0.37  % 1:8:6:INP:TopTopTopTopTopTop: proh(x0),aee(x0,x1),aer(x0,x2),act(x0,x3),tgt(x0,x4),disability(x5),bearer(x5,x2),cnt(x5,x3,x4) -> 
% 0.10/0.37  % 2:1:0:INP::  -> agent(bibliothek)
% 0.10/0.37  % 3:1:0:INP::  -> agent(museen)
% 0.10/0.37  % 4:1:0:INP::  -> action(read)
% 0.10/0.37  % 5:1:0:INP::  -> target(museum_api)
% 0.10/0.37  % 6:1:0:INP::  -> position(l)
% 0.10/0.37  % 7:1:0:INP::  -> position(n)
% 0.10/0.37  % 8:1:0:INP::  -> position(im)
% 0.10/0.37  % 9:1:0:INP::  -> position(db)
% 0.10/0.37  % 10:1:0:INP::  -> legal_relator(rho1)
% 0.10/0.37  % 11:1:0:INP::  -> odrl_rel(rho1)
% 0.10/0.37  % 12:1:0:INP::  -> permission(l)
% 0.10/0.37  % 13:1:0:INP::  -> no_right(n)
% 0.10/0.37  % 14:1:0:INP::  -> immunity(im)
% 0.10/0.37  % 15:1:0:INP::  -> disability(db)
% 0.10/0.37  % 16:1:0:INP::  -> bearer(l,bibliothek)
% 0.10/0.37  % 17:1:0:INP::  -> bearer(n,museen)
% 0.10/0.37  % 18:1:0:INP::  -> bearer(im,bibliothek)
% 0.10/0.37  % 19:1:0:INP::  -> bearer(db,museen)
% 0.10/0.37  % 20:1:0:INP::  -> cnt(l,read,museum_api)
% 0.10/0.37  % 21:1:0:INP::  -> cnt(n,read,museum_api)
% 0.10/0.37  % 22:1:0:INP::  -> cnt(im,read,museum_api)
% 0.10/0.37  % 23:1:0:INP::  -> cnt(db,read,museum_api)
% 0.10/0.37  % 24:1:0:INP::  -> rule(f2)
% 0.10/0.37  % 25:1:0:INP::  -> proh(f2)
% 0.10/0.37  % 26:1:0:INP::  -> aee(f2,bibliothek)
% 0.10/0.37  % 27:1:0:INP::  -> aer(f2,museen)
% 0.10/0.37  % 28:1:0:INP::  -> act(f2,read)
% 0.10/0.37  % 29:1:0:INP::  -> tgt(f2,museum_api)
% 0.10/0.37  
% 0.10/0.37  % Predicates: proh aee aer act tgt disability bearer cnt agent action target position legal_relator odrl_rel permission no_right immunity rule 
% 0.10/0.37  % Fol Constants: bibliothek museen read museum_api l n im db rho1 f2 
% 0.10/0.37  % Fol Functions: 
% 0.10/0.37  % Problem Properties:
% 0.10/0.37  % This is a Bernays Schoenfinkel problem. The Problem is linear. 
% 0.10/0.37  
% 0.10/0.37  
% 0.10/0.37  % Reduced Input Axiom Clauses:
% 0.10/0.37  % 1:8:6:INP:TopTopTopTopTopTop: proh(x0),aee(x0,x1),aer(x0,x2),act(x0,x3),tgt(x0,x4),disability(x5),bearer(x5,x2),cnt(x5,x3,x4) -> 
% 0.10/0.37  % 2:1:0:INP::  -> agent(bibliothek)
% 0.10/0.37  % 3:1:0:INP::  -> agent(museen)
% 0.10/0.37  % 4:1:0:INP::  -> action(read)
% 0.10/0.37  % 5:1:0:INP::  -> target(museum_api)
% 0.10/0.37  % 6:1:0:INP::  -> position(l)
% 0.10/0.37  % 7:1:0:INP::  -> position(n)
% 0.10/0.37  % 8:1:0:INP::  -> position(im)
% 0.10/0.37  % 9:1:0:INP::  -> position(db)
% 0.10/0.37  % 10:1:0:INP::  -> legal_relator(rho1)
% 0.10/0.37  % 11:1:0:INP::  -> odrl_rel(rho1)
% 0.10/0.37  % 12:1:0:INP::  -> permission(l)
% 0.10/0.37  % 13:1:0:INP::  -> no_right(n)
% 0.10/0.37  % 14:1:0:INP::  -> immunity(im)
% 0.10/0.37  % 15:1:0:INP::  -> disability(db)
% 0.10/0.37  % 16:1:0:INP::  -> bearer(l,bibliothek)
% 0.10/0.37  % 17:1:0:INP::  -> bearer(n,museen)
% 0.10/0.37  % 18:1:0:INP::  -> bearer(im,bibliothek)
% 0.10/0.37  % 19:1:0:INP::  -> bearer(db,museen)
% 0.10/0.37  % 20:1:0:INP::  -> cnt(l,read,museum_api)
% 0.10/0.37  % 21:1:0:INP::  -> cnt(n,read,museum_api)
% 0.10/0.37  % 22:1:0:INP::  -> cnt(im,read,museum_api)
% 0.10/0.37  % 23:1:0:INP::  -> cnt(db,read,museum_api)
% 0.10/0.37  % 24:1:0:INP::  -> rule(f2)
% 0.10/0.37  % 25:1:0:INP::  -> proh(f2)
% 0.10/0.37  % 26:1:0:INP::  -> aee(f2,bibliothek)
% 0.10/0.37  % 27:1:0:INP::  -> aer(f2,museen)
% 0.10/0.37  % 28:1:0:INP::  -> act(f2,read)
% 0.10/0.37  % 29:1:0:INP::  -> tgt(f2,museum_api)
% 0.10/0.37  
% 0.10/0.37  % Reduced Input Conjecture Clauses:
% 0.10/0.37  
% 0.10/0.37  
% 0.10/0.37  % === Starting SPASS-SCL-FOL A Little Less Naive, considering 36 atoms initially. Used heuristic: lmodel_grow ===
% 0.10/0.37  
% 0.10/0.37  
% 0.10/0.37  
% 0.10/0.37  % SZS status Unsatisfiable
% 0.10/0.37  % Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  
% 0.10/0.37  % SPASS-SCL-FOL Statistics:
% 0.10/0.37  % Number of learned clauses: 0
% 0.10/0.37  % Number of propagations: 11
% 0.10/0.37  % Number of decisions: 0
% 0.10/0.37  % Number of resolutions: 8
% 0.10/0.37  % Number of condensations: 0
% 0.10/0.37  % Number of sub resolutions: 0
% 0.10/0.37  
% 0.10/0.37  % Solver is done. Empty clause found
% 0.10/0.37  
% 0.10/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.37  
% 0.10/0.37  
% 0.10/0.37  % Needed:       0:00:00.00
% 0.10/0.37  
% 0.10/0.37  % ###
% 0.10/0.37  % ### Pagesize: 8192
% 0.10/0.37  % ### Marksize: 0
% 0.10/0.37  % ### Memory demanded:  411 KBytes
% 0.10/0.37  % ### Memory freed:     411 KBytes
% 0.10/0.37  % ### Memory remaining: 0 Bytes
% 0.10/0.37  % ### Pages allocated:  171 Pages
% 0.10/0.37  % ###
%------------------------------------------------------------------------------