TSTP Solution File: GEO059-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO059-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 02:16:15 EDT 2024

% Result   : Unsatisfiable 3.57s 1.24s
% Output   : CNFRefutation 3.57s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ equidistant(v,u,v,reflection(reflection(u,v),v)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_congruence) ).

cnf(c_50,plain,
    extension(X0,X1,X0,X1) = reflection(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).

cnf(c_51,plain,
    equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).

cnf(c_55,plain,
    equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(c_299,plain,
    reflection(u,v) = sP0_iProver_def,
    definition ).

cnf(c_300,plain,
    reflection(sP0_iProver_def,v) = sP1_iProver_def,
    definition ).

cnf(c_301,negated_conjecture,
    ~ equidistant(v,u,v,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_49,c_299,c_300]) ).

cnf(c_627,plain,
    equidistant(X0,reflection(X1,X0),X1,X0),
    inference(superposition,[status(thm)],[c_50,c_55]) ).

cnf(c_644,plain,
    ( ~ equidistant(X0,X1,X2,X3)
    | equidistant(X1,X0,X2,X3) ),
    inference(superposition,[status(thm)],[c_51,c_52]) ).

cnf(c_652,plain,
    equidistant(v,sP0_iProver_def,u,v),
    inference(superposition,[status(thm)],[c_299,c_627]) ).

cnf(c_654,plain,
    ( ~ equidistant(X0,reflection(X1,X0),X2,X3)
    | equidistant(X1,X0,X2,X3) ),
    inference(superposition,[status(thm)],[c_627,c_52]) ).

cnf(c_659,plain,
    ( ~ equidistant(v,sP0_iProver_def,X0,X1)
    | equidistant(u,v,X0,X1) ),
    inference(superposition,[status(thm)],[c_652,c_52]) ).

cnf(c_684,plain,
    equidistant(X0,X1,X0,X1),
    inference(superposition,[status(thm)],[c_51,c_644]) ).

cnf(c_743,plain,
    ( ~ equidistant(X0,X1,v,u)
    | ~ equidistant(X0,X1,v,sP1_iProver_def)
    | equidistant(v,u,v,sP1_iProver_def) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_787,plain,
    ( ~ equidistant(u,v,v,u)
    | ~ equidistant(u,v,v,sP1_iProver_def)
    | equidistant(v,u,v,sP1_iProver_def) ),
    inference(instantiation,[status(thm)],[c_743]) ).

cnf(c_788,plain,
    equidistant(u,v,v,u),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_856,plain,
    equidistant(X0,X1,X1,reflection(X0,X1)),
    inference(superposition,[status(thm)],[c_684,c_654]) ).

cnf(c_1005,plain,
    equidistant(sP0_iProver_def,v,v,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_300,c_856]) ).

cnf(c_1023,plain,
    equidistant(v,sP0_iProver_def,v,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_1005,c_644]) ).

cnf(c_1277,plain,
    equidistant(u,v,v,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_1023,c_659]) ).

cnf(c_1285,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1277,c_788,c_787,c_301]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO059-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May  3 01:09:32 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 3.57/1.24  % SZS status Started for theBenchmark.p
% 3.57/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.24  
% 3.57/1.24  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.57/1.24  
% 3.57/1.24  ------  iProver source info
% 3.57/1.24  
% 3.57/1.24  git: date: 2024-05-02 19:28:25 +0000
% 3.57/1.24  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.57/1.24  git: non_committed_changes: false
% 3.57/1.24  
% 3.57/1.24  ------ Parsing...successful
% 3.57/1.24  
% 3.57/1.24  
% 3.57/1.24  
% 3.57/1.24  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.57/1.24  
% 3.57/1.24  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.57/1.24  
% 3.57/1.24  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.57/1.24  ------ Proving...
% 3.57/1.24  ------ Problem Properties 
% 3.57/1.24  
% 3.57/1.24  
% 3.57/1.24  clauses                                 22
% 3.57/1.24  conjectures                             1
% 3.57/1.24  EPR                                     10
% 3.57/1.24  Horn                                    17
% 3.57/1.24  unary                                   10
% 3.57/1.24  binary                                  2
% 3.57/1.24  lits                                    60
% 3.57/1.24  lits eq                                 10
% 3.57/1.24  fd_pure                                 0
% 3.57/1.24  fd_pseudo                               0
% 3.57/1.24  fd_cond                                 0
% 3.57/1.24  fd_pseudo_cond                          7
% 3.57/1.24  AC symbols                              0
% 3.57/1.24  
% 3.57/1.24  ------ Schedule dynamic 5 is on 
% 3.57/1.24  
% 3.57/1.24  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.57/1.24  
% 3.57/1.24  
% 3.57/1.24  ------ 
% 3.57/1.24  Current options:
% 3.57/1.24  ------ 
% 3.57/1.24  
% 3.57/1.24  
% 3.57/1.24  
% 3.57/1.24  
% 3.57/1.24  ------ Proving...
% 3.57/1.24  
% 3.57/1.24  
% 3.57/1.24  % SZS status Unsatisfiable for theBenchmark.p
% 3.57/1.24  
% 3.57/1.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.57/1.24  
% 3.57/1.24  
%------------------------------------------------------------------------------