TSTP Solution File: GEO022-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 23:08:51 EDT 2023

% Result   : Unsatisfiable 2.17s 1.19s
% Output   : CNFRefutation 2.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   7 unt;   0 nHn;  13 RR)
%            Number of literals    :   20 (   0 equ;   8 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    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn)

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

cnf(c_51,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | equidistant(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3) ).

cnf(c_55,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | equidistant(X3,X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_4) ).

cnf(c_57,plain,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

cnf(c_58,plain,
    equidistant(w,x,y,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).

cnf(c_59,negated_conjecture,
    ~ equidistant(u,v,y,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity) ).

cnf(c_61,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_766,plain,
    equidistant(v,u,w,x),
    inference(superposition,[status(thm)],[c_57,c_51]) ).

cnf(c_776,plain,
    equidistant(w,x,v,u),
    inference(superposition,[status(thm)],[c_766,c_50]) ).

cnf(c_984,plain,
    ( ~ equidistant(w,x,X0,X1)
    | equidistant(y,z,X0,X1) ),
    inference(superposition,[status(thm)],[c_58,c_61]) ).

cnf(c_1080,plain,
    ( ~ equidistant(y,z,v,u)
    | equidistant(u,v,y,z) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_1313,plain,
    equidistant(y,z,v,u),
    inference(superposition,[status(thm)],[c_776,c_984]) ).

cnf(c_1321,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1313,c_1080,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 22:25:23 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.17/1.19  % SZS status Started for theBenchmark.p
% 2.17/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.17/1.19  
% 2.17/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.17/1.19  
% 2.17/1.19  ------  iProver source info
% 2.17/1.19  
% 2.17/1.19  git: date: 2023-05-31 18:12:56 +0000
% 2.17/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.17/1.19  git: non_committed_changes: false
% 2.17/1.19  git: last_make_outside_of_git: false
% 2.17/1.19  
% 2.17/1.19  ------ Parsing...successful
% 2.17/1.19  
% 2.17/1.19  
% 2.17/1.19  
% 2.17/1.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.17/1.19  
% 2.17/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.17/1.19  
% 2.17/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.17/1.19  ------ Proving...
% 2.17/1.19  ------ Problem Properties 
% 2.17/1.19  
% 2.17/1.19  
% 2.17/1.19  clauses                                 29
% 2.17/1.19  conjectures                             1
% 2.17/1.19  EPR                                     20
% 2.17/1.19  Horn                                    24
% 2.17/1.19  unary                                   10
% 2.17/1.19  binary                                  9
% 2.17/1.19  lits                                    74
% 2.17/1.19  lits eq                                 7
% 2.17/1.19  fd_pure                                 0
% 2.17/1.19  fd_pseudo                               0
% 2.17/1.19  fd_cond                                 0
% 2.17/1.19  fd_pseudo_cond                          7
% 2.17/1.19  AC symbols                              0
% 2.17/1.19  
% 2.17/1.19  ------ Schedule dynamic 5 is on 
% 2.17/1.19  
% 2.17/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.17/1.19  
% 2.17/1.19  
% 2.17/1.19  ------ 
% 2.17/1.19  Current options:
% 2.17/1.19  ------ 
% 2.17/1.19  
% 2.17/1.19  
% 2.17/1.19  
% 2.17/1.19  
% 2.17/1.19  ------ Proving...
% 2.17/1.19  
% 2.17/1.19  
% 2.17/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 2.17/1.19  
% 2.17/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.17/1.19  
% 2.17/1.19  
%------------------------------------------------------------------------------