TSTP Solution File: GEO270+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO270+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 : Fri May  3 02:17:20 EDT 2024

% Result   : Theorem 7.85s 1.62s
% Output   : CNFRefutation 7.85s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f818)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ? [X0] :
      ( rpoint(X0)
      & vf(vd1049,X0) = vf(vd1047,vd1049)
      & vf(vd1049,X0) = vf(X0,vd1047) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(208)') ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
        ( rpoint(X0)
        & vf(vd1049,X0) = vf(vd1047,vd1049)
        & vf(vd1049,X0) = vf(X0,vd1047) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vf(vd1049,X0) != vf(vd1047,vd1049)
      | vf(vd1049,X0) != vf(X0,vd1047) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f557,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vf(vd1049,X0) != vf(vd1047,vd1049)
      | vf(vd1049,X0) != vf(X0,vd1047) ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_52,plain,
    vd1050 != vd1048,
    inference(cnf_transformation,[],[f805]) ).

cnf(c_53,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | vf(vskolem1064(vskolem1063(vskolem1061(X1,X1,X0,X0),X1,X1,X0,X0),vskolem1061(X1,X1,X0,X0),X1,X1,X0,X0),X1) = vf(X0,vskolem1064(vskolem1063(vskolem1061(X1,X1,X0,X0),X1,X1,X0,X0),vskolem1061(X1,X1,X0,X0),X1,X1,X0,X0))
    | X0 = X1 ),
    inference(cnf_transformation,[],[f818]) ).

cnf(c_54,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | vf(X0,vskolem1064(vskolem1063(vskolem1061(X1,X1,X0,X0),X1,X1,X0,X0),vskolem1061(X1,X1,X0,X0),X1,X1,X0,X0)) = vf(X1,X0)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f822]) ).

cnf(c_59,plain,
    ( ~ rpoint(X0)
    | ~ rpoint(X1)
    | X0 = X1
    | rpoint(vskolem1064(vskolem1063(vskolem1061(X1,X1,X0,X0),X1,X1,X0,X0),vskolem1061(X1,X1,X0,X0),X1,X1,X0,X0)) ),
    inference(cnf_transformation,[],[f842]) ).

cnf(c_3654,plain,
    ( ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | X0_13 = X1_13
    | rpoint(vskolem1064(vskolem1063(vskolem1061(X1_13,X1_13,X0_13,X0_13),X1_13,X1_13,X0_13,X0_13),vskolem1061(X1_13,X1_13,X0_13,X0_13),X1_13,X1_13,X0_13,X0_13)) ),
    inference(subtyping,[status(esa)],[c_59]) ).

cnf(c_3659,plain,
    ( ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | vf(X0_13,vskolem1064(vskolem1063(vskolem1061(X1_13,X1_13,X0_13,X0_13),X1_13,X1_13,X0_13,X0_13),vskolem1061(X1_13,X1_13,X0_13,X0_13),X1_13,X1_13,X0_13,X0_13)) = vf(X1_13,X0_13)
    | X0_13 = X1_13 ),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_3660,plain,
    ( ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | vf(vskolem1064(vskolem1063(vskolem1061(X1_13,X1_13,X0_13,X0_13),X1_13,X1_13,X0_13,X0_13),vskolem1061(X1_13,X1_13,X0_13,X0_13),X1_13,X1_13,X0_13,X0_13),X1_13) = vf(X0_13,vskolem1064(vskolem1063(vskolem1061(X1_13,X1_13,X0_13,X0_13),X1_13,X1_13,X0_13,X0_13),vskolem1061(X1_13,X1_13,X0_13,X0_13),X1_13,X1_13,X0_13,X0_13))
    | X0_13 = X1_13 ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_3661,plain,
    vd1050 != vd1048,
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_5653,plain,
    ( ~ rpoint(vd1050)
    | ~ rpoint(vd1048)
    | vf(vskolem1064(vskolem1063(vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vd1048) = vf(vd1050,vskolem1064(vskolem1063(vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050))
    | vd1050 = vd1048 ),
    inference(instantiation,[status(thm)],[c_3660]) ).

cnf(c_5661,plain,
    ( ~ rpoint(vd1050)
    | ~ rpoint(vd1048)
    | vf(vd1050,vskolem1064(vskolem1063(vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050)) = vf(vd1048,vd1050)
    | vd1050 = vd1048 ),
    inference(instantiation,[status(thm)],[c_3659]) ).

cnf(c_5672,plain,
    ( ~ rpoint(vd1050)
    | ~ rpoint(vd1048)
    | vd1050 = vd1048
    | rpoint(vskolem1064(vskolem1063(vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050)) ),
    inference(instantiation,[status(thm)],[c_3654]) ).

fof(f3,axiom,
    ( rpoint(vd1048)
    & vd1047 = vd1048
    & rpoint(vd1050)
    & vd1049 != vd1047
    & vd1049 = vd1050 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))') ).

fof(f558,plain,
    vd1049 = vd1050,
    inference(cnf_transformation,[],[f3]) ).

fof(f560,plain,
    rpoint(vd1050),
    inference(cnf_transformation,[],[f3]) ).

fof(f561,plain,
    vd1047 = vd1048,
    inference(cnf_transformation,[],[f3]) ).

fof(f562,plain,
    rpoint(vd1048),
    inference(cnf_transformation,[],[f3]) ).

fof(f804,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | vf(vd1050,X0) != vf(vd1048,vd1050)
      | vf(vd1050,X0) != vf(X0,vd1048) ),
    inference(definition_unfolding,[],[f557,f558,f561,f558,f558,f561]) ).

cnf(c_49,negated_conjecture,
    ( vf(X0,vd1048) != vf(vd1050,X0)
    | vf(vd1050,X0) != vf(vd1048,vd1050)
    | ~ rpoint(X0) ),
    inference(cnf_transformation,[],[f804]) ).

cnf(c_50,plain,
    rpoint(vd1048),
    inference(cnf_transformation,[],[f562]) ).

cnf(c_51,plain,
    rpoint(vd1050),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_3664,negated_conjecture,
    ( vf(X0_13,vd1048) != vf(vd1050,X0_13)
    | vf(vd1050,X0_13) != vf(vd1048,vd1050)
    | ~ rpoint(X0_13) ),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_14671,plain,
    ( vf(vskolem1064(vskolem1063(vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vd1048) != vf(vd1050,vskolem1064(vskolem1063(vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050))
    | vf(vd1050,vskolem1064(vskolem1063(vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050)) != vf(vd1048,vd1050)
    | ~ rpoint(vskolem1064(vskolem1063(vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050),vskolem1061(vd1048,vd1048,vd1050,vd1050),vd1048,vd1048,vd1050,vd1050)) ),
    inference(instantiation,[status(thm)],[c_3664]) ).

cnf(c_14672,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14671,c_5653,c_5661,c_5672,c_3661,c_50,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GEO270+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May  3 01:19:44 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.85/1.62  % SZS status Started for theBenchmark.p
% 7.85/1.62  % SZS status Theorem for theBenchmark.p
% 7.85/1.62  
% 7.85/1.62  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.85/1.62  
% 7.85/1.62  ------  iProver source info
% 7.85/1.62  
% 7.85/1.62  git: date: 2024-05-02 19:28:25 +0000
% 7.85/1.62  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.85/1.62  git: non_committed_changes: false
% 7.85/1.62  
% 7.85/1.62  ------ Parsing...
% 7.85/1.62  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.85/1.62  
% 7.85/1.62  ------ Preprocessing... sup_sim: 0  pe_s  pe_e  sup_sim: 0  pe_s  pe_e 
% 7.85/1.62  
% 7.85/1.62  ------ Preprocessing... gs_s  sp: 14 0s  gs_e  scvd_s sp: 62 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 7.85/1.62  
% 7.85/1.62  ------ Preprocessing...
% 7.85/1.62  ------ Proving...
% 7.85/1.62  ------ Problem Properties 
% 7.85/1.62  
% 7.85/1.62  
% 7.85/1.62  clauses                                 278
% 7.85/1.62  conjectures                             1
% 7.85/1.62  EPR                                     84
% 7.85/1.62  Horn                                    178
% 7.85/1.62  unary                                   5
% 7.85/1.62  binary                                  42
% 7.85/1.62  lits                                    1522
% 7.85/1.62  lits eq                                 183
% 7.85/1.62  fd_pure                                 0
% 7.85/1.62  fd_pseudo                               0
% 7.85/1.62  fd_cond                                 0
% 7.85/1.62  fd_pseudo_cond                          60
% 7.85/1.62  AC symbols                              0
% 7.85/1.62  
% 7.85/1.62  ------ Input Options Time Limit: Unbounded
% 7.85/1.62  
% 7.85/1.62  
% 7.85/1.62  ------ 
% 7.85/1.62  Current options:
% 7.85/1.62  ------ 
% 7.85/1.62  
% 7.85/1.62  
% 7.85/1.62  
% 7.85/1.62  
% 7.85/1.62  ------ Proving...
% 7.85/1.62  
% 7.85/1.62  
% 7.85/1.62  % SZS status Theorem for theBenchmark.p
% 7.85/1.62  
% 7.85/1.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.85/1.62  
% 7.85/1.62  
%------------------------------------------------------------------------------