TSTP Solution File: GEO042-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 02:16:11 EDT 2024

% Result   : Unsatisfiable 0.42s 1.12s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   21 (  12 unt;   0 nHn;  17 RR)
%            Number of literals    :   35 (   8 equ;  16 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   :   36 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    between(u,v,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).

cnf(c_50,plain,
    between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).

cnf(c_51,negated_conjecture,
    ~ between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).

cnf(c_54,plain,
    ( ~ equidistant(X0,X1,X2,X2)
    | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).

cnf(c_55,plain,
    between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

cnf(c_56,plain,
    equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(c_58,plain,
    ( ~ between(X0,X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).

cnf(c_300,negated_conjecture,
    ~ between(u,v,w),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_605,plain,
    extension(X0,X1,X2,X2) = X1,
    inference(superposition,[status(thm)],[c_56,c_54]) ).

cnf(c_625,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_630,plain,
    between(X0,X1,X1),
    inference(superposition,[status(thm)],[c_605,c_55]) ).

cnf(c_1678,plain,
    ( ~ between(X0,v,x)
    | inner_pasch(X0,v,x,w,v) = v ),
    inference(superposition,[status(thm)],[c_50,c_625]) ).

cnf(c_1685,plain,
    ( ~ between(X0,X1,X2)
    | inner_pasch(X0,X1,X2,X2,X1) = X1 ),
    inference(superposition,[status(thm)],[c_630,c_625]) ).

cnf(c_1744,plain,
    inner_pasch(u,v,x,w,v) = v,
    inference(superposition,[status(thm)],[c_49,c_1678]) ).

cnf(c_1745,plain,
    ( ~ between(u,v,x)
    | ~ between(v,w,x)
    | between(w,v,u) ),
    inference(superposition,[status(thm)],[c_1744,c_60]) ).

cnf(c_1747,plain,
    between(w,v,u),
    inference(forward_subsumption_resolution,[status(thm)],[c_1745,c_50,c_49]) ).

cnf(c_1765,plain,
    inner_pasch(w,v,u,u,v) = v,
    inference(superposition,[status(thm)],[c_1747,c_1685]) ).

cnf(c_1925,plain,
    ( ~ between(v,u,u)
    | ~ between(w,v,u)
    | between(u,v,w) ),
    inference(superposition,[status(thm)],[c_1765,c_60]) ).

cnf(c_1927,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1925,c_300,c_1747,c_630]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO042-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May  3 01:20:50 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.42/1.12  % SZS status Started for theBenchmark.p
% 0.42/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.12  
% 0.42/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.42/1.12  
% 0.42/1.12  ------  iProver source info
% 0.42/1.12  
% 0.42/1.12  git: date: 2024-05-02 19:28:25 +0000
% 0.42/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.42/1.12  git: non_committed_changes: false
% 0.42/1.12  
% 0.42/1.12  ------ Parsing...successful
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.42/1.12  
% 0.42/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.42/1.12  
% 0.42/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.42/1.12  ------ Proving...
% 0.42/1.12  ------ Problem Properties 
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  clauses                                 21
% 0.42/1.12  conjectures                             1
% 0.42/1.12  EPR                                     12
% 0.42/1.12  Horn                                    16
% 0.42/1.12  unary                                   9
% 0.42/1.12  binary                                  2
% 0.42/1.12  lits                                    59
% 0.42/1.12  lits eq                                 7
% 0.42/1.12  fd_pure                                 0
% 0.42/1.12  fd_pseudo                               0
% 0.42/1.12  fd_cond                                 0
% 0.42/1.12  fd_pseudo_cond                          7
% 0.42/1.12  AC symbols                              0
% 0.42/1.12  
% 0.42/1.12  ------ Schedule dynamic 5 is on 
% 0.42/1.12  
% 0.42/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  ------ 
% 0.42/1.12  Current options:
% 0.42/1.12  ------ 
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  ------ Proving...
% 0.42/1.12  
% 0.42/1.12  
% 0.42/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.12  
% 0.42/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.42/1.12  
% 0.42/1.12  
%------------------------------------------------------------------------------