TSTP Solution File: GEO524+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO524+1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Mon Jun 24 06:15:03 EDT 2024

% Result   : Theorem 4.10s 1.20s
% Output   : CNFRefutation 4.10s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f188,axiom,
    ! [X11,X14,X12,X36] :
      ( reflect(X11,X14,X36) = X12
      | reflect(X11,X14,X12) != X36
      | X11 = X14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_6) ).

fof(f189,conjecture,
    ! [X11,X14,X12,X15] :
      ( X12 = X15
      | reflect(X11,X14,X12) != reflect(X11,X14,X15)
      | X11 = X14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_7) ).

fof(f190,negated_conjecture,
    ~ ! [X11,X14,X12,X15] :
        ( X12 = X15
        | reflect(X11,X14,X12) != reflect(X11,X14,X15)
        | X11 = X14 ),
    inference(negated_conjecture,[],[f189]) ).

fof(f384,plain,
    ! [X0,X1,X2,X3] :
      ( reflect(X0,X1,X3) = X2
      | reflect(X0,X1,X2) != X3
      | X0 = X1 ),
    inference(rectify,[],[f188]) ).

fof(f385,plain,
    ~ ! [X0,X1,X2,X3] :
        ( X2 = X3
        | reflect(X0,X1,X2) != reflect(X0,X1,X3)
        | X0 = X1 ),
    inference(rectify,[],[f190]) ).

fof(f401,plain,
    ? [X0,X1,X2,X3] :
      ( X2 != X3
      & reflect(X0,X1,X2) = reflect(X0,X1,X3)
      & X0 != X1 ),
    inference(ennf_transformation,[],[f385]) ).

fof(f402,plain,
    ( ? [X0,X1,X2,X3] :
        ( X2 != X3
        & reflect(X0,X1,X2) = reflect(X0,X1,X3)
        & X0 != X1 )
   => ( sK2 != sK3
      & reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3)
      & sK0 != sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f403,plain,
    ( sK2 != sK3
    & reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3)
    & sK0 != sK1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f401,f402]) ).

fof(f622,plain,
    ! [X2,X3,X0,X1] :
      ( reflect(X0,X1,X3) = X2
      | reflect(X0,X1,X2) != X3
      | X0 = X1 ),
    inference(cnf_transformation,[],[f384]) ).

fof(f623,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f403]) ).

fof(f624,plain,
    reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3),
    inference(cnf_transformation,[],[f403]) ).

fof(f625,plain,
    sK2 != sK3,
    inference(cnf_transformation,[],[f403]) ).

fof(f722,plain,
    ! [X2,X0,X1] :
      ( reflect(X0,X1,reflect(X0,X1,X2)) = X2
      | X0 = X1 ),
    inference(equality_resolution,[],[f622]) ).

cnf(c_267,plain,
    ( reflect(X0,X1,reflect(X0,X1,X2)) = X2
    | X0 = X1 ),
    inference(cnf_transformation,[],[f722]) ).

cnf(c_268,negated_conjecture,
    sK2 != sK3,
    inference(cnf_transformation,[],[f625]) ).

cnf(c_269,negated_conjecture,
    reflect(sK0,sK1,sK2) = reflect(sK0,sK1,sK3),
    inference(cnf_transformation,[],[f624]) ).

cnf(c_270,negated_conjecture,
    sK0 != sK1,
    inference(cnf_transformation,[],[f623]) ).

cnf(c_7406,plain,
    reflect(sK0,sK1,sK2) = sP0_iProver_def,
    definition ).

cnf(c_7407,plain,
    reflect(sK0,sK1,sK3) = sP1_iProver_def,
    definition ).

cnf(c_7408,negated_conjecture,
    sK0 != sK1,
    inference(demodulation,[status(thm)],[c_270]) ).

cnf(c_7409,negated_conjecture,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_269,c_7407,c_7406]) ).

cnf(c_7410,negated_conjecture,
    sK2 != sK3,
    inference(demodulation,[status(thm)],[c_268]) ).

cnf(c_10649,plain,
    reflect(sK0,sK1,sK3) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_7407,c_7409]) ).

cnf(c_13603,plain,
    ( reflect(sK0,sK1,sP0_iProver_def) = sK2
    | sK0 = sK1 ),
    inference(superposition,[status(thm)],[c_7406,c_267]) ).

cnf(c_13604,plain,
    ( reflect(sK0,sK1,sP0_iProver_def) = sK3
    | sK0 = sK1 ),
    inference(superposition,[status(thm)],[c_10649,c_267]) ).

cnf(c_13606,plain,
    reflect(sK0,sK1,sP0_iProver_def) = sK3,
    inference(forward_subsumption_resolution,[status(thm)],[c_13604,c_7408]) ).

cnf(c_13607,plain,
    reflect(sK0,sK1,sP0_iProver_def) = sK2,
    inference(forward_subsumption_resolution,[status(thm)],[c_13603,c_7408]) ).

cnf(c_13610,plain,
    sK2 = sK3,
    inference(demodulation,[status(thm)],[c_13606,c_13607]) ).

cnf(c_13611,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_13610,c_7410]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO524+1 : TPTP v8.2.0. Released v7.0.0.
% 0.12/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jun 21 08:48:24 EDT 2024
% 0.19/0.34  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.10/1.20  % SZS status Started for theBenchmark.p
% 4.10/1.20  % SZS status Theorem for theBenchmark.p
% 4.10/1.20  
% 4.10/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.10/1.20  
% 4.10/1.20  ------  iProver source info
% 4.10/1.20  
% 4.10/1.20  git: date: 2024-06-12 09:56:46 +0000
% 4.10/1.20  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.10/1.20  git: non_committed_changes: false
% 4.10/1.20  
% 4.10/1.20  ------ Parsing...
% 4.10/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.10/1.20  
% 4.10/1.20  ------ Preprocessing... sup_sim: 17  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 4.10/1.20  
% 4.10/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.10/1.20  
% 4.10/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.10/1.20  ------ Proving...
% 4.10/1.20  ------ Problem Properties 
% 4.10/1.20  
% 4.10/1.20  
% 4.10/1.20  clauses                                 241
% 4.10/1.20  conjectures                             3
% 4.10/1.20  EPR                                     146
% 4.10/1.20  Horn                                    170
% 4.10/1.20  unary                                   38
% 4.10/1.20  binary                                  89
% 4.10/1.20  lits                                    748
% 4.10/1.20  lits eq                                 164
% 4.10/1.20  fd_pure                                 0
% 4.10/1.20  fd_pseudo                               0
% 4.10/1.20  fd_cond                                 0
% 4.10/1.20  fd_pseudo_cond                          78
% 4.10/1.20  AC symbols                              0
% 4.10/1.20  
% 4.10/1.20  ------ Schedule dynamic 5 is on 
% 4.10/1.20  
% 4.10/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.10/1.20  
% 4.10/1.20  
% 4.10/1.20  ------ 
% 4.10/1.20  Current options:
% 4.10/1.20  ------ 
% 4.10/1.20  
% 4.10/1.20  
% 4.10/1.20  
% 4.10/1.20  
% 4.10/1.20  ------ Proving...
% 4.10/1.20  
% 4.10/1.20  
% 4.10/1.20  % SZS status Theorem for theBenchmark.p
% 4.10/1.20  
% 4.10/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.20  
% 4.10/1.20  
%------------------------------------------------------------------------------