TSTP Solution File: GEO033-3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO033-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 23:08:56 EDT 2023

% Result   : Unsatisfiable 3.92s 1.15s
% Output   : CNFRefutation 3.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;  14 RR)
%            Number of literals    :   38 (   0 equ;  25 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_66,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | ~ equidistant(X1,X4,X3,X5)
    | ~ between(X0,X1,X4)
    | ~ between(X2,X3,X5)
    | equidistant(X0,X4,X2,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).

cnf(c_95,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | ~ equidistant(X0,X4,X2,X5)
    | ~ equidistant(X0,X6,X2,X7)
    | ~ equidistant(X4,X6,X5,X7)
    | ~ between(X0,X1,X4)
    | ~ between(X2,X3,X5)
    | equidistant(X1,X6,X3,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12) ).

cnf(c_97,plain,
    equidistant(u,v,u1,v1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).

cnf(c_98,plain,
    equidistant(v,w,v1,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).

cnf(c_99,plain,
    equidistant(u,x,u1,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_x_equals_u1_to_x1) ).

cnf(c_100,plain,
    equidistant(w,x,w1,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_w1_to_x1) ).

cnf(c_101,plain,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

cnf(c_102,plain,
    between(u1,v1,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).

cnf(c_103,negated_conjecture,
    ~ equidistant(v,x,v1,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).

cnf(c_2342,plain,
    ( ~ equidistant(v,X0,v1,X1)
    | ~ between(u,v,X0)
    | ~ between(u1,v1,X1)
    | equidistant(u,X0,u1,X1) ),
    inference(superposition,[status(thm)],[c_97,c_66]) ).

cnf(c_2384,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | ~ equidistant(u,X0,u1,X2)
    | ~ equidistant(u,X1,u1,X3)
    | ~ between(u,v,X0)
    | ~ between(u1,v1,X2)
    | equidistant(v,X1,v1,X3) ),
    inference(superposition,[status(thm)],[c_97,c_95]) ).

cnf(c_3490,plain,
    ( ~ between(u,v,w)
    | ~ between(u1,v1,w1)
    | equidistant(u,w,u1,w1) ),
    inference(superposition,[status(thm)],[c_98,c_2342]) ).

cnf(c_3939,plain,
    ( ~ equidistant(u,w,u1,w1)
    | ~ equidistant(u,x,u1,x1)
    | ~ between(u,v,w)
    | ~ between(u1,v1,w1)
    | equidistant(v,x,v1,x1) ),
    inference(superposition,[status(thm)],[c_100,c_2384]) ).

cnf(c_3969,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3939,c_3490,c_103,c_99,c_101,c_102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO033-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.16/0.34  % Computer : n026.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Wed Aug 30 00:25:21 EDT 2023
% 0.16/0.34  % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.92/1.15  % SZS status Started for theBenchmark.p
% 3.92/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.15  
% 3.92/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.92/1.15  
% 3.92/1.15  ------  iProver source info
% 3.92/1.15  
% 3.92/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.92/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.92/1.15  git: non_committed_changes: false
% 3.92/1.15  git: last_make_outside_of_git: false
% 3.92/1.15  
% 3.92/1.15  ------ Parsing...successful
% 3.92/1.15  
% 3.92/1.15  
% 3.92/1.15  
% 3.92/1.15  ------ 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 
% 3.92/1.15  
% 3.92/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.92/1.15  
% 3.92/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.92/1.15  ------ Proving...
% 3.92/1.15  ------ Problem Properties 
% 3.92/1.15  
% 3.92/1.15  
% 3.92/1.15  clauses                                 67
% 3.92/1.15  conjectures                             1
% 3.92/1.15  EPR                                     45
% 3.92/1.15  Horn                                    54
% 3.92/1.15  unary                                   28
% 3.92/1.15  binary                                  13
% 3.92/1.15  lits                                    164
% 3.92/1.15  lits eq                                 31
% 3.92/1.15  fd_pure                                 0
% 3.92/1.15  fd_pseudo                               0
% 3.92/1.15  fd_cond                                 0
% 3.92/1.15  fd_pseudo_cond                          16
% 3.92/1.15  AC symbols                              0
% 3.92/1.15  
% 3.92/1.15  ------ Input Options Time Limit: Unbounded
% 3.92/1.15  
% 3.92/1.15  
% 3.92/1.15  ------ 
% 3.92/1.15  Current options:
% 3.92/1.15  ------ 
% 3.92/1.15  
% 3.92/1.15  
% 3.92/1.15  
% 3.92/1.15  
% 3.92/1.15  ------ Proving...
% 3.92/1.15  
% 3.92/1.15  
% 3.92/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.15  
% 3.92/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.92/1.15  
% 3.92/1.15  
%------------------------------------------------------------------------------