TSTP Solution File: GEO331+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 30 23:11:02 EDT 2023

% Result   : Theorem 7.62s 1.64s
% Output   : CNFRefutation 7.62s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f874)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    vf(vd1352,vd1353) != vf(vd1352,vd1354),
    inference(negated_conjecture,[],[f1]) ).

fof(f7,axiom,
    ? [X0] :
      ( rpoint(X0)
      & vd1354 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(383)))') ).

fof(f8,axiom,
    ? [X1] :
      ( rpoint(X1)
      & vd1353 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(383)))') ).

fof(f9,axiom,
    ? [X2] :
      ( rpoint(X2)
      & vd1352 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(383)))') ).

fof(f128,plain,
    vf(vd1352,vd1353) != vf(vd1352,vd1354),
    inference(flattening,[],[f2]) ).

fof(f129,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1353 = X0 ),
    inference(rectify,[],[f8]) ).

fof(f130,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1352 = X0 ),
    inference(rectify,[],[f9]) ).

fof(f472,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1354 = X0 )
   => ( rpoint(sK1)
      & vd1354 = sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f473,plain,
    ( rpoint(sK1)
    & vd1354 = sK1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f7,f472]) ).

fof(f474,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1353 = X0 )
   => ( rpoint(sK2)
      & vd1353 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f475,plain,
    ( rpoint(sK2)
    & vd1353 = sK2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f129,f474]) ).

fof(f476,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1352 = X0 )
   => ( rpoint(sK3)
      & vd1352 = sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f477,plain,
    ( rpoint(sK3)
    & vd1352 = sK3 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f130,f476]) ).

fof(f597,plain,
    vf(vd1352,vd1353) != vf(vd1352,vd1354),
    inference(cnf_transformation,[],[f128]) ).

fof(f602,plain,
    vd1354 = sK1,
    inference(cnf_transformation,[],[f473]) ).

fof(f603,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f473]) ).

fof(f604,plain,
    vd1353 = sK2,
    inference(cnf_transformation,[],[f475]) ).

fof(f605,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f475]) ).

fof(f606,plain,
    vd1352 = sK3,
    inference(cnf_transformation,[],[f477]) ).

fof(f3,axiom,
    vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(383, 1356, 0)') ).

fof(f858,plain,
    vf(sK3,sK2) != vf(sK3,sK1),
    inference(definition_unfolding,[],[f597,f606,f604,f606,f602]) ).

fof(f598,plain,
    vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
    inference(cnf_transformation,[],[f3]) ).

fof(f4,axiom,
    vd1353 != vd1354,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 9)') ).

fof(f859,plain,
    vangle(sK3,sK2,sK1) = vangle(sK3,sK1,sK2),
    inference(definition_unfolding,[],[f598,f606,f604,f602,f606,f602,f604]) ).

fof(f599,plain,
    vd1353 != vd1354,
    inference(cnf_transformation,[],[f4]) ).

fof(f5,axiom,
    vd1352 != vd1354,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 8)') ).

fof(f860,plain,
    sK1 != sK2,
    inference(definition_unfolding,[],[f599,f604,f602]) ).

fof(f600,plain,
    vd1352 != vd1354,
    inference(cnf_transformation,[],[f5]) ).

fof(f6,axiom,
    vd1352 != vd1353,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 7)') ).

fof(f861,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f600,f606,f602]) ).

fof(f601,plain,
    vd1352 != vd1353,
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    sK2 != sK3,
    inference(definition_unfolding,[],[f601,f606,f604]) ).

cnf(c_49,negated_conjecture,
    vf(sK3,sK2) != vf(sK3,sK1),
    inference(cnf_transformation,[],[f858]) ).

cnf(c_50,plain,
    vangle(sK3,sK2,sK1) = vangle(sK3,sK1,sK2),
    inference(cnf_transformation,[],[f859]) ).

cnf(c_51,plain,
    sK2 != sK1,
    inference(cnf_transformation,[],[f860]) ).

cnf(c_52,plain,
    sK3 != sK1,
    inference(cnf_transformation,[],[f861]) ).

cnf(c_53,plain,
    sK3 != sK2,
    inference(cnf_transformation,[],[f862]) ).

cnf(c_54,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f603]) ).

cnf(c_55,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f605]) ).

cnf(c_56,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f607]) ).

cnf(c_57,plain,
    ( vangle(X0,X1,X2) != vangle(X0,X2,X1)
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | vf(X0,X1) = vf(X0,X2)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | rless(vf(X0,X1),vf(X0,X2))
    | rless(vf(X0,X2),vf(X0,X1)) ),
    inference(cnf_transformation,[],[f874]) ).

cnf(c_58,plain,
    ( vangle(X0,X1,X2) != vangle(X0,X2,X1)
    | ~ rless(vf(X0,X1),vf(X0,X2))
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | vf(X0,X1) = vf(X0,X2)
    | X0 = X1
    | X0 = X2
    | X1 = X2 ),
    inference(cnf_transformation,[],[f877]) ).

cnf(c_59,plain,
    ( vangle(X0,X1,X2) != vangle(X0,X2,X1)
    | ~ rless(vf(X0,X2),vf(X0,X1))
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | vf(X0,X1) = vf(X0,X2)
    | X0 = X1
    | X0 = X2
    | X1 = X2 ),
    inference(cnf_transformation,[],[f880]) ).

cnf(c_465,plain,
    ( vangle(X0,X1,X2) != vangle(X0,X2,X1)
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | vf(X0,X1) = vf(X0,X2)
    | X0 = X1
    | X0 = X2
    | X1 = X2 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_59,c_58,c_57]) ).

cnf(c_470,plain,
    ( vangle(X0,X1,X2) != vangle(X0,X2,X1)
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | vf(X0,X1) = vf(X0,X2)
    | X0 = X1
    | X0 = X2
    | X1 = X2 ),
    inference(global_subsumption_just,[status(thm)],[c_57,c_465]) ).

cnf(c_5195,plain,
    ( vangle(X0_13,X1_13,X2_13) != vangle(X0_13,X2_13,X1_13)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X2_13)
    | vf(X0_13,X1_13) = vf(X0_13,X2_13)
    | X0_13 = X1_13
    | X0_13 = X2_13
    | X1_13 = X2_13 ),
    inference(subtyping,[status(esa)],[c_470]) ).

cnf(c_5435,plain,
    sK3 != sK2,
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_5436,plain,
    sK3 != sK1,
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_5437,plain,
    sK2 != sK1,
    inference(subtyping,[status(esa)],[c_51]) ).

cnf(c_5438,plain,
    vangle(sK3,sK2,sK1) = vangle(sK3,sK1,sK2),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_5439,negated_conjecture,
    vf(sK3,sK2) != vf(sK3,sK1),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_10715,plain,
    ( vangle(sK3,sK2,sK1) != vangle(sK3,sK1,sK2)
    | ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rpoint(sK1)
    | vf(sK3,sK2) = vf(sK3,sK1)
    | sK3 = sK2
    | sK3 = sK1
    | sK2 = sK1 ),
    inference(instantiation,[status(thm)],[c_5195]) ).

cnf(c_10716,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10715,c_5439,c_5438,c_5437,c_5436,c_5435,c_54,c_55,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 23:51:41 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.62/1.64  % SZS status Started for theBenchmark.p
% 7.62/1.64  % SZS status Theorem for theBenchmark.p
% 7.62/1.64  
% 7.62/1.64  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.62/1.64  
% 7.62/1.64  ------  iProver source info
% 7.62/1.64  
% 7.62/1.64  git: date: 2023-05-31 18:12:56 +0000
% 7.62/1.64  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.62/1.64  git: non_committed_changes: false
% 7.62/1.64  git: last_make_outside_of_git: false
% 7.62/1.64  
% 7.62/1.64  ------ Parsing...
% 7.62/1.64  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.62/1.64  
% 7.62/1.64  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.62/1.64  
% 7.62/1.64  ------ Preprocessing... gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.62/1.64  
% 7.62/1.64  ------ Preprocessing... sf_s  rm: 8 0s  sf_e 
% 7.62/1.64  ------ Proving...
% 7.62/1.64  ------ Problem Properties 
% 7.62/1.64  
% 7.62/1.64  
% 7.62/1.64  clauses                                 261
% 7.62/1.64  conjectures                             1
% 7.62/1.64  EPR                                     59
% 7.62/1.64  Horn                                    165
% 7.62/1.64  unary                                   10
% 7.62/1.64  binary                                  42
% 7.62/1.64  lits                                    1689
% 7.62/1.64  lits eq                                 281
% 7.62/1.64  fd_pure                                 0
% 7.62/1.64  fd_pseudo                               0
% 7.62/1.64  fd_cond                                 0
% 7.62/1.64  fd_pseudo_cond                          65
% 7.62/1.64  AC symbols                              0
% 7.62/1.64  
% 7.62/1.64  ------ Input Options Time Limit: Unbounded
% 7.62/1.64  
% 7.62/1.64  
% 7.62/1.64  ------ 
% 7.62/1.64  Current options:
% 7.62/1.64  ------ 
% 7.62/1.64  
% 7.62/1.64  
% 7.62/1.64  
% 7.62/1.64  
% 7.62/1.64  ------ Proving...
% 7.62/1.64  
% 7.62/1.64  
% 7.62/1.64  % SZS status Theorem for theBenchmark.p
% 7.62/1.64  
% 7.62/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.62/1.64  
% 7.62/1.64  
%------------------------------------------------------------------------------