TSTP Solution File: GEO017-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO017-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 02:16:04 EDT 2024

% Result   : Unsatisfiable 2.33s 1.19s
% Output   : CNFRefutation 2.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

cnf(c_50,negated_conjecture,
    ~ equidistant(u,v,x,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry) ).

cnf(c_51,plain,
    equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).

cnf(c_52,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_602,plain,
    ( ~ equidistant(u,v,X0,X1)
    | equidistant(w,x,X0,X1) ),
    inference(superposition,[status(thm)],[c_49,c_52]) ).

cnf(c_657,plain,
    equidistant(w,x,v,u),
    inference(superposition,[status(thm)],[c_51,c_602]) ).

cnf(c_659,plain,
    ( ~ equidistant(w,x,X0,X1)
    | equidistant(v,u,X0,X1) ),
    inference(superposition,[status(thm)],[c_657,c_52]) ).

cnf(c_708,plain,
    ( ~ equidistant(X0,X1,u,v)
    | ~ equidistant(X0,X1,x,w)
    | equidistant(u,v,x,w) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_784,plain,
    ( ~ equidistant(v,u,u,v)
    | ~ equidistant(v,u,x,w)
    | equidistant(u,v,x,w) ),
    inference(instantiation,[status(thm)],[c_708]) ).

cnf(c_785,plain,
    equidistant(v,u,u,v),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_1386,plain,
    equidistant(v,u,x,w),
    inference(superposition,[status(thm)],[c_51,c_659]) ).

cnf(c_1404,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1386,c_785,c_784,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO017-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May  3 01:48:37 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 2.33/1.19  % SZS status Started for theBenchmark.p
% 2.33/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.19  
% 2.33/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.33/1.19  
% 2.33/1.19  ------  iProver source info
% 2.33/1.19  
% 2.33/1.19  git: date: 2024-05-02 19:28:25 +0000
% 2.33/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.33/1.19  git: non_committed_changes: false
% 2.33/1.19  
% 2.33/1.19  ------ Parsing...successful
% 2.33/1.19  
% 2.33/1.19  
% 2.33/1.19  
% 2.33/1.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.33/1.19  
% 2.33/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.33/1.19  
% 2.33/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.33/1.19  ------ Proving...
% 2.33/1.19  ------ Problem Properties 
% 2.33/1.19  
% 2.33/1.19  
% 2.33/1.19  clauses                                 20
% 2.33/1.19  conjectures                             1
% 2.33/1.19  EPR                                     11
% 2.33/1.19  Horn                                    15
% 2.33/1.19  unary                                   8
% 2.33/1.19  binary                                  2
% 2.33/1.19  lits                                    58
% 2.33/1.19  lits eq                                 7
% 2.33/1.19  fd_pure                                 0
% 2.33/1.19  fd_pseudo                               0
% 2.33/1.19  fd_cond                                 0
% 2.33/1.19  fd_pseudo_cond                          7
% 2.33/1.19  AC symbols                              0
% 2.33/1.19  
% 2.33/1.19  ------ Schedule dynamic 5 is on 
% 2.33/1.19  
% 2.33/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.33/1.19  
% 2.33/1.19  
% 2.33/1.19  ------ 
% 2.33/1.19  Current options:
% 2.33/1.19  ------ 
% 2.33/1.19  
% 2.33/1.19  
% 2.33/1.19  
% 2.33/1.19  
% 2.33/1.19  ------ Proving...
% 2.33/1.19  
% 2.33/1.19  
% 2.33/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.19  
% 2.33/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.33/1.19  
% 2.33/1.19  
%------------------------------------------------------------------------------