TSTP Solution File: GEO043-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO043-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 23:09:00 EDT 2023

% Result   : Unsatisfiable 3.59s 1.18s
% Output   : CNFRefutation 3.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  13 unt;   0 nHn;  21 RR)
%            Number of literals    :   44 (  11 equ;  20 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    :    6 (   6 usr;   4 con; 0-5 aty)
%            Number of variables   :   41 (   5 sgn)

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

cnf(c_50,plain,
    between(u,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_x) ).

cnf(c_51,negated_conjecture,
    ~ between(v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_v_and_x) ).

cnf(c_54,plain,
    ( ~ equidistant(X0,X1,X2,X2)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).

cnf(c_55,plain,
    between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

cnf(c_56,plain,
    equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(c_58,plain,
    ( ~ between(X0,X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).

cnf(c_59,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X4,inner_pasch(X3,X4,X2,X1,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).

cnf(c_60,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X4,X2)
    | between(X1,inner_pasch(X3,X4,X2,X1,X0),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).

cnf(c_604,plain,
    extension(X0,X1,X2,X2) = X1,
    inference(superposition,[status(thm)],[c_56,c_54]) ).

cnf(c_624,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X3,X0,X2)
    | inner_pasch(X3,X0,X2,X1,X0) = X0 ),
    inference(superposition,[status(thm)],[c_59,c_58]) ).

cnf(c_629,plain,
    between(X0,X1,X1),
    inference(superposition,[status(thm)],[c_604,c_55]) ).

cnf(c_702,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X1,X3,X2)
    | inner_pasch(X1,X3,X2,X1,X0) = X1 ),
    inference(superposition,[status(thm)],[c_60,c_58]) ).

cnf(c_1690,plain,
    ( ~ between(X0,X1,X2)
    | inner_pasch(X0,X1,X2,X2,X1) = X1 ),
    inference(superposition,[status(thm)],[c_629,c_624]) ).

cnf(c_1747,plain,
    ( ~ between(v,X0,w)
    | inner_pasch(v,X0,w,v,u) = v ),
    inference(superposition,[status(thm)],[c_49,c_702]) ).

cnf(c_1811,plain,
    inner_pasch(v,w,w,v,u) = v,
    inference(superposition,[status(thm)],[c_629,c_1747]) ).

cnf(c_1843,plain,
    ( ~ between(u,v,w)
    | ~ between(v,w,w)
    | between(w,v,u) ),
    inference(superposition,[status(thm)],[c_1811,c_59]) ).

cnf(c_1844,plain,
    between(w,v,u),
    inference(forward_subsumption_resolution,[status(thm)],[c_1843,c_629,c_49]) ).

cnf(c_1846,plain,
    ( ~ between(X0,w,u)
    | inner_pasch(X0,w,u,v,w) = w ),
    inference(superposition,[status(thm)],[c_1844,c_624]) ).

cnf(c_1858,plain,
    inner_pasch(u,w,x,x,w) = w,
    inference(superposition,[status(thm)],[c_50,c_1690]) ).

cnf(c_1973,plain,
    ( ~ between(u,w,x)
    | ~ between(w,x,x)
    | between(x,w,u) ),
    inference(superposition,[status(thm)],[c_1858,c_60]) ).

cnf(c_1975,plain,
    between(x,w,u),
    inference(forward_subsumption_resolution,[status(thm)],[c_1973,c_629,c_50]) ).

cnf(c_2445,plain,
    inner_pasch(x,w,u,v,w) = w,
    inference(superposition,[status(thm)],[c_1975,c_1846]) ).

cnf(c_2449,plain,
    ( ~ between(w,v,u)
    | ~ between(x,w,u)
    | between(v,w,x) ),
    inference(superposition,[status(thm)],[c_2445,c_60]) ).

cnf(c_2451,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2449,c_51,c_1975,c_1844]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO043-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n004.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 : Tue Aug 29 23:34:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.59/1.18  % SZS status Started for theBenchmark.p
% 3.59/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.59/1.18  
% 3.59/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.59/1.18  
% 3.59/1.18  ------  iProver source info
% 3.59/1.18  
% 3.59/1.18  git: date: 2023-05-31 18:12:56 +0000
% 3.59/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.59/1.18  git: non_committed_changes: false
% 3.59/1.18  git: last_make_outside_of_git: false
% 3.59/1.18  
% 3.59/1.18  ------ Parsing...successful
% 3.59/1.18  
% 3.59/1.18  
% 3.59/1.18  
% 3.59/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.59/1.18  
% 3.59/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.59/1.18  
% 3.59/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.59/1.18  ------ Proving...
% 3.59/1.18  ------ Problem Properties 
% 3.59/1.18  
% 3.59/1.18  
% 3.59/1.18  clauses                                 21
% 3.59/1.18  conjectures                             1
% 3.59/1.18  EPR                                     12
% 3.59/1.18  Horn                                    16
% 3.59/1.18  unary                                   9
% 3.59/1.18  binary                                  2
% 3.59/1.18  lits                                    59
% 3.59/1.18  lits eq                                 7
% 3.59/1.18  fd_pure                                 0
% 3.59/1.18  fd_pseudo                               0
% 3.59/1.18  fd_cond                                 0
% 3.59/1.18  fd_pseudo_cond                          7
% 3.59/1.18  AC symbols                              0
% 3.59/1.18  
% 3.59/1.18  ------ Schedule dynamic 5 is on 
% 3.59/1.18  
% 3.59/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.59/1.18  
% 3.59/1.18  
% 3.59/1.18  ------ 
% 3.59/1.18  Current options:
% 3.59/1.18  ------ 
% 3.59/1.18  
% 3.59/1.18  
% 3.59/1.18  
% 3.59/1.18  
% 3.59/1.18  ------ Proving...
% 3.59/1.18  
% 3.59/1.18  
% 3.59/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.59/1.18  
% 3.59/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.59/1.18  
% 3.59/1.18  
%------------------------------------------------------------------------------