TSTP Solution File: GEO063-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO063-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 02:16:16 EDT 2024

% Result   : Unsatisfiable 18.02s 3.21s
% Output   : CNFRefutation 18.02s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | equidistant(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

cnf(c_57,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | ~ equidistant(X2,X3,X4,X5)
    | equidistant(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5) ).

cnf(c_67,plain,
    ( ~ equidistant(X0,X1,X0,X2)
    | ~ between(X3,X0,X1)
    | ~ between(X3,X0,X2)
    | X0 = X3
    | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9) ).

cnf(c_90,plain,
    extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_1) ).

cnf(c_99,plain,
    equidistant(X0,X1,X2,insertion(X2,X3,X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i2_1) ).

cnf(c_103,plain,
    equidistant(w,x,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).

cnf(c_104,negated_conjecture,
    insertion(u,v,w,x) != insertion(u,v,y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality_of_insertions) ).

cnf(c_105,plain,
    extension(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X2,X3) = insertion(X1,X0,X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-3.ax',insertion) ).

cnf(c_110,plain,
    between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

cnf(c_1517,plain,
    insertion(u,v,w,x) = sP0_iProver_def,
    definition ).

cnf(c_1518,plain,
    insertion(u,v,y,z) = sP1_iProver_def,
    definition ).

cnf(c_1519,negated_conjecture,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_104,c_1518,c_1517]) ).

cnf(c_33738,plain,
    equidistant(w,x,u,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1517,c_99]) ).

cnf(c_33739,plain,
    equidistant(y,z,u,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_1518,c_99]) ).

cnf(c_33795,plain,
    equidistant(u,sP0_iProver_def,w,x),
    inference(superposition,[status(thm)],[c_33738,c_50]) ).

cnf(c_34415,plain,
    between(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,insertion(X1,X0,X2,X3)),
    inference(superposition,[status(thm)],[c_105,c_110]) ).

cnf(c_34454,plain,
    ( ~ equidistant(y,z,X0,X1)
    | equidistant(w,x,X0,X1) ),
    inference(superposition,[status(thm)],[c_103,c_57]) ).

cnf(c_34464,plain,
    ( ~ equidistant(w,x,X0,X1)
    | equidistant(u,sP0_iProver_def,X0,X1) ),
    inference(superposition,[status(thm)],[c_33795,c_57]) ).

cnf(c_36195,plain,
    equidistant(w,x,u,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_33739,c_34454]) ).

cnf(c_37617,plain,
    equidistant(u,sP0_iProver_def,u,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_36195,c_34464]) ).

cnf(c_51457,plain,
    ( ~ between(X0,u,sP0_iProver_def)
    | ~ between(X0,u,sP1_iProver_def)
    | X0 = u
    | sP0_iProver_def = sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_37617,c_67]) ).

cnf(c_51472,plain,
    ( ~ between(X0,u,sP0_iProver_def)
    | ~ between(X0,u,sP1_iProver_def)
    | X0 = u ),
    inference(forward_subsumption_resolution,[status(thm)],[c_51457,c_1519]) ).

cnf(c_85948,plain,
    between(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1517,c_34415]) ).

cnf(c_85949,plain,
    between(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_1518,c_34415]) ).

cnf(c_90596,plain,
    ( ~ between(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,sP1_iProver_def)
    | extension(v,u,lower_dimension_point_1,lower_dimension_point_2) = u ),
    inference(superposition,[status(thm)],[c_85948,c_51472]) ).

cnf(c_90603,plain,
    ~ between(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,sP1_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_90596,c_90]) ).

cnf(c_90614,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_90603,c_85949]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO063-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n012.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 : Fri May  3 01:18:55 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 18.02/3.21  % SZS status Started for theBenchmark.p
% 18.02/3.21  % SZS status Unsatisfiable for theBenchmark.p
% 18.02/3.21  
% 18.02/3.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 18.02/3.21  
% 18.02/3.21  ------  iProver source info
% 18.02/3.21  
% 18.02/3.21  git: date: 2024-05-02 19:28:25 +0000
% 18.02/3.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 18.02/3.21  git: non_committed_changes: false
% 18.02/3.21  
% 18.02/3.21  ------ Parsing...successful
% 18.02/3.21  
% 18.02/3.21  
% 18.02/3.21  
% 18.02/3.21  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 18.02/3.21  
% 18.02/3.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 18.02/3.21  
% 18.02/3.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 18.02/3.21  ------ Proving...
% 18.02/3.21  ------ Problem Properties 
% 18.02/3.21  
% 18.02/3.21  
% 18.02/3.21  clauses                                 71
% 18.02/3.21  conjectures                             1
% 18.02/3.21  EPR                                     42
% 18.02/3.21  Horn                                    58
% 18.02/3.21  unary                                   27
% 18.02/3.21  binary                                  14
% 18.02/3.21  lits                                    182
% 18.02/3.21  lits eq                                 37
% 18.02/3.21  fd_pure                                 0
% 18.02/3.21  fd_pseudo                               0
% 18.02/3.21  fd_cond                                 0
% 18.02/3.21  fd_pseudo_cond                          17
% 18.02/3.21  AC symbols                              0
% 18.02/3.21  
% 18.02/3.21  ------ Schedule dynamic 5 is on 
% 18.02/3.21  
% 18.02/3.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.02/3.21  
% 18.02/3.21  
% 18.02/3.21  ------ 
% 18.02/3.21  Current options:
% 18.02/3.21  ------ 
% 18.02/3.21  
% 18.02/3.21  
% 18.02/3.21  
% 18.02/3.21  
% 18.02/3.21  ------ Proving...
% 18.02/3.21  
% 18.02/3.21  
% 18.02/3.21  % SZS status Unsatisfiable for theBenchmark.p
% 18.02/3.21  
% 18.02/3.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.02/3.21  
% 18.02/3.21  
%------------------------------------------------------------------------------