TSTP Solution File: ALG339-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG339-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:04:33 EDT 2024

% Result   : Unsatisfiable 11.05s 2.16s
% Output   : CNFRefutation 11.05s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_460,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_0) ).

cnf(c_480,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_2) ).

cnf(c_481,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X0,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_1) ).

cnf(c_512,negated_conjecture,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_513,negated_conjecture,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_514,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X0,v_d1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X0,v_d2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_16793,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = sP0_iProver_def,
    definition ).

cnf(c_16794,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(X0,v_d1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X0,v_d2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X0,tc_RealDef_Oreal) ),
    inference(demodulation,[status(thm)],[c_514,c_16793]) ).

cnf(c_16795,negated_conjecture,
    c_HOL_Oord__class_Oless(sP0_iProver_def,v_d2,tc_RealDef_Oreal),
    inference(demodulation,[status(thm)],[c_513]) ).

cnf(c_16796,negated_conjecture,
    c_HOL_Oord__class_Oless(sP0_iProver_def,v_d1,tc_RealDef_Oreal),
    inference(demodulation,[status(thm)],[c_512]) ).

cnf(c_25202,plain,
    ( ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X0,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X1,tc_RealDef_Oreal) ),
    inference(light_normalisation,[status(thm)],[c_480,c_16793]) ).

cnf(c_25212,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d1),v_d2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X0,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,v_d1,tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_25202,c_16794]) ).

cnf(c_25249,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d1),v_d2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,v_d1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X0,tc_RealDef_Oreal) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_25212,c_16796]) ).

cnf(c_25288,plain,
    ( ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X0,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),X0,tc_RealDef_Oreal) ),
    inference(light_normalisation,[status(thm)],[c_481,c_16793]) ).

cnf(c_25516,plain,
    ( ~ c_HOL_Oord__class_Oless(sP0_iProver_def,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,v_d1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,v_d2,tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_25288,c_25249]) ).

cnf(c_25519,plain,
    ~ c_HOL_Oord__class_Oless(sP0_iProver_def,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(v_d2,v_d1),tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[status(thm)],[c_25516,c_16795,c_16796]) ).

cnf(c_25696,plain,
    ( ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X0,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(sP0_iProver_def,c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X0,X1),tc_RealDef_Oreal) ),
    inference(light_normalisation,[status(thm)],[c_460,c_16793]) ).

cnf(c_25707,plain,
    ( ~ c_HOL_Oord__class_Oless(sP0_iProver_def,v_d1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(sP0_iProver_def,v_d2,tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_25696,c_25519]) ).

cnf(c_25709,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_25707,c_16795,c_16796]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG339-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May  2 22:44:05 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.05/2.16  % SZS status Started for theBenchmark.p
% 11.05/2.16  % SZS status Unsatisfiable for theBenchmark.p
% 11.05/2.16  
% 11.05/2.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.05/2.16  
% 11.05/2.16  ------  iProver source info
% 11.05/2.16  
% 11.05/2.16  git: date: 2024-05-02 19:28:25 +0000
% 11.05/2.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 11.05/2.16  git: non_committed_changes: false
% 11.05/2.16  
% 11.05/2.16  ------ Parsing...successful
% 11.05/2.16  
% 11.05/2.16  
% 11.05/2.16  
% 11.05/2.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e  sup_sim: 50  sf_s  rm: 56 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 56 0s  sf_e  pe_s  pe_e 
% 11.05/2.16  
% 11.05/2.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 11.05/2.16  
% 11.05/2.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 11.05/2.16  ------ Proving...
% 11.05/2.16  ------ Problem Properties 
% 11.05/2.16  
% 11.05/2.16  
% 11.05/2.16  clauses                                 329
% 11.05/2.16  conjectures                             3
% 11.05/2.16  EPR                                     11
% 11.05/2.16  Horn                                    274
% 11.05/2.16  unary                                   129
% 11.05/2.16  binary                                  98
% 11.05/2.16  lits                                    645
% 11.05/2.16  lits eq                                 238
% 11.05/2.16  fd_pure                                 0
% 11.05/2.16  fd_pseudo                               0
% 11.05/2.16  fd_cond                                 31
% 11.05/2.16  fd_pseudo_cond                          28
% 11.05/2.16  AC symbols                              0
% 11.05/2.16  
% 11.05/2.16  ------ Schedule dynamic 5 is on 
% 11.05/2.16  
% 11.05/2.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.05/2.16  
% 11.05/2.16  
% 11.05/2.16  ------ 
% 11.05/2.16  Current options:
% 11.05/2.16  ------ 
% 11.05/2.16  
% 11.05/2.16  
% 11.05/2.16  
% 11.05/2.16  
% 11.05/2.16  ------ Proving...
% 11.05/2.16  
% 11.05/2.16  
% 11.05/2.16  % SZS status Unsatisfiable for theBenchmark.p
% 11.05/2.16  
% 11.05/2.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.05/2.16  
% 11.05/2.16  
%------------------------------------------------------------------------------