TSTP Solution File: GEO037-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 23:08:57 EDT 2023

% Result   : Unsatisfiable 3.39s 1.17s
% Output   : CNFRefutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   22 (  14 unt;   0 nHn;  13 RR)
%            Number of literals    :   32 (   7 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   50 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
    | ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
    | extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lengthen) ).

cnf(c_50,plain,
    equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).

cnf(c_51,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | ~ equidistant(X0,X1,X4,X5)
    | equidistant(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).

cnf(c_52,plain,
    ( ~ equidistant(X0,X1,X2,X2)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).

cnf(c_53,plain,
    between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

cnf(c_54,plain,
    equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(c_61,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).

cnf(c_87,plain,
    ( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
    | extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v ),
    inference(backward_subsumption_resolution,[status(thm)],[c_49,c_53]) ).

cnf(c_637,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | equidistant(X1,X0,X2,X3) ),
    inference(superposition,[status(thm)],[c_50,c_51]) ).

cnf(c_638,plain,
    ( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
    | equidistant(X2,X3,X4,X5) ),
    inference(superposition,[status(thm)],[c_54,c_51]) ).

cnf(c_648,plain,
    extension(X0,X1,X2,X2) = X1,
    inference(superposition,[status(thm)],[c_54,c_52]) ).

cnf(c_679,plain,
    between(X0,X1,X1),
    inference(superposition,[status(thm)],[c_648,c_53]) ).

cnf(c_691,plain,
    equidistant(X0,X1,X0,X1),
    inference(superposition,[status(thm)],[c_50,c_637]) ).

cnf(c_715,plain,
    equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
    inference(superposition,[status(thm)],[c_50,c_638]) ).

cnf(c_717,plain,
    equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
    inference(superposition,[status(thm)],[c_691,c_638]) ).

cnf(c_731,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | equidistant(X4,extension(X5,X4,X0,X1),X2,X3) ),
    inference(superposition,[status(thm)],[c_717,c_51]) ).

cnf(c_1437,plain,
    ( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
    | extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v ),
    inference(superposition,[status(thm)],[c_731,c_87]) ).

cnf(c_1448,plain,
    extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v,
    inference(forward_subsumption_resolution,[status(thm)],[c_1437,c_717]) ).

cnf(c_1484,plain,
    equidistant(lower_dimension_point_1,lower_dimension_point_2,v,v),
    inference(superposition,[status(thm)],[c_1448,c_715]) ).

cnf(c_1551,plain,
    lower_dimension_point_1 = lower_dimension_point_2,
    inference(superposition,[status(thm)],[c_1484,c_52]) ).

cnf(c_1553,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1),
    inference(demodulation,[status(thm)],[c_61,c_1551]) ).

cnf(c_1556,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1553,c_679]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n031.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 : Tue Aug 29 20:25:41 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.39/1.17  % SZS status Started for theBenchmark.p
% 3.39/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.39/1.17  
% 3.39/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.39/1.17  
% 3.39/1.17  ------  iProver source info
% 3.39/1.17  
% 3.39/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.39/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.39/1.17  git: non_committed_changes: false
% 3.39/1.17  git: last_make_outside_of_git: false
% 3.39/1.17  
% 3.39/1.17  ------ Parsing...successful
% 3.39/1.17  
% 3.39/1.17  
% 3.39/1.17  
% 3.39/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.39/1.17  
% 3.39/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.39/1.17  
% 3.39/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.39/1.17  ------ Proving...
% 3.39/1.17  ------ Problem Properties 
% 3.39/1.17  
% 3.39/1.17  
% 3.39/1.17  clauses                                 19
% 3.39/1.17  conjectures                             0
% 3.39/1.17  EPR                                     9
% 3.39/1.17  Horn                                    14
% 3.39/1.17  unary                                   6
% 3.39/1.17  binary                                  3
% 3.39/1.17  lits                                    58
% 3.39/1.17  lits eq                                 8
% 3.39/1.17  fd_pure                                 0
% 3.39/1.17  fd_pseudo                               0
% 3.39/1.17  fd_cond                                 0
% 3.39/1.17  fd_pseudo_cond                          7
% 3.39/1.17  AC symbols                              0
% 3.39/1.17  
% 3.39/1.17  ------ Schedule dynamic 5 is on 
% 3.39/1.17  
% 3.39/1.17  ------ no conjectures: strip conj schedule 
% 3.39/1.17  
% 3.39/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.39/1.17  
% 3.39/1.17  
% 3.39/1.17  ------ 
% 3.39/1.17  Current options:
% 3.39/1.17  ------ 
% 3.39/1.17  
% 3.39/1.17  
% 3.39/1.17  
% 3.39/1.17  
% 3.39/1.17  ------ Proving...
% 3.39/1.17  
% 3.39/1.17  
% 3.39/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.39/1.17  
% 3.39/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/1.17  
% 3.39/1.17  
%------------------------------------------------------------------------------