TSTP Solution File: NUM839+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% 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 02:50:51 EDT 2024

% Result   : Theorem 2.79s 1.21s
% Output   : CNFRefutation 2.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f107)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ greater(vd328,vd329),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_50,plain,
    greater(vplus(vd328,vd330),vplus(vd329,vd330)),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_52,plain,
    ( ~ greater(X0,X1)
    | greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_66,plain,
    ( ~ less(X0,X1)
    | greater(X1,X0) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_67,plain,
    ( ~ greater(X0,X1)
    | less(X1,X0) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_68,plain,
    ( X0 = X1
    | greater(X0,X1)
    | less(X0,X1) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_70,plain,
    ( ~ greater(X0,X1)
    | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_582,negated_conjecture,
    ~ greater(vd328,vd329),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_918,plain,
    less(vplus(vd329,vd330),vplus(vd328,vd330)),
    inference(superposition,[status(thm)],[c_50,c_67]) ).

cnf(c_951,plain,
    ~ greater(vplus(vd329,vd330),vplus(vd328,vd330)),
    inference(superposition,[status(thm)],[c_918,c_70]) ).

cnf(c_1049,plain,
    ( vd328 = vd329
    | less(vd328,vd329) ),
    inference(superposition,[status(thm)],[c_68,c_582]) ).

cnf(c_1136,plain,
    ~ greater(vd329,vd328),
    inference(superposition,[status(thm)],[c_52,c_951]) ).

cnf(c_1199,plain,
    ( vd328 = vd329
    | greater(vd329,vd328) ),
    inference(superposition,[status(thm)],[c_1049,c_66]) ).

cnf(c_1203,plain,
    vd328 = vd329,
    inference(forward_subsumption_resolution,[status(thm)],[c_1199,c_1136]) ).

cnf(c_1208,plain,
    greater(vplus(vd328,vd330),vplus(vd328,vd330)),
    inference(demodulation,[status(thm)],[c_50,c_1203]) ).

fof(f14,axiom,
    ! [X20,X21] :
      ( geq(X21,X20)
    <=> ( X20 = X21
        | greater(X21,X20) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).

fof(f122,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
    <=> ( X0 = X1
        | greater(X1,X0) ) ),
    inference(rectify,[],[f14]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ( geq(X1,X0)
        | ( X0 != X1
          & ~ greater(X1,X0) ) )
      & ( X0 = X1
        | greater(X1,X0)
        | ~ geq(X1,X0) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ( geq(X1,X0)
        | ( X0 != X1
          & ~ greater(X1,X0) ) )
      & ( X0 = X1
        | greater(X1,X0)
        | ~ geq(X1,X0) ) ),
    inference(flattening,[],[f93]) ).

fof(f15,axiom,
    ! [X22,X23] :
      ( less(X22,X23)
     => greater(X23,X22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).

fof(f121,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X1,X0)
      | ~ geq(X1,X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( less(X0,X1)
     => greater(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f16,axiom,
    ! [X24,X25] :
      ( greater(X24,X25)
     => less(X25,X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

fof(f124,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
     => less(X1,X0) ),
    inference(rectify,[],[f16]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f17,axiom,
    ! [X26,X27] :
      ( less(X26,X27)
      | greater(X26,X27)
      | X26 = X27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof(f125,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(rectify,[],[f17]) ).

fof(f18,axiom,
    ! [X26,X27] :
      ( ~ less(X26,X27)
      | X26 != X27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).

fof(f126,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f18]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f19,axiom,
    ! [X26,X27] :
      ( ~ less(X26,X27)
      | ~ greater(X26,X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

fof(f162,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f127]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(rectify,[],[f19]) ).

fof(f20,axiom,
    ! [X26,X27] :
      ( ~ greater(X26,X27)
      | X26 != X27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f20]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f163,plain,
    ! [X1] : ~ greater(X1,X1),
    inference(equality_resolution,[],[f129]) ).

cnf(c_71,plain,
    ~ greater(X0,X0),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_1210,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1208,c_71]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem  : NUM839+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.16  % Command  : run_iprover %s %d THM
% 0.15/0.38  % Computer : n003.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit : 300
% 0.15/0.38  % WCLimit  : 300
% 0.15/0.38  % DateTime : Thu May  2 19:37:35 EDT 2024
% 0.15/0.38  % CPUTime  : 
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  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
% 2.79/1.21  % SZS status Started for theBenchmark.p
% 2.79/1.21  % SZS status Theorem for theBenchmark.p
% 2.79/1.21  
% 2.79/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.79/1.21  
% 2.79/1.21  ------  iProver source info
% 2.79/1.21  
% 2.79/1.21  git: date: 2024-05-02 19:28:25 +0000
% 2.79/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.79/1.21  git: non_committed_changes: false
% 2.79/1.21  
% 2.79/1.21  ------ Parsing...
% 2.79/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.79/1.21  
% 2.79/1.21  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.79/1.21  
% 2.79/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.79/1.21  
% 2.79/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.79/1.21  ------ Proving...
% 2.79/1.21  ------ Problem Properties 
% 2.79/1.21  
% 2.79/1.21  
% 2.79/1.21  clauses                                 30
% 2.79/1.21  conjectures                             1
% 2.79/1.21  EPR                                     16
% 2.79/1.21  Horn                                    25
% 2.79/1.21  unary                                   11
% 2.79/1.21  binary                                  11
% 2.79/1.21  lits                                    57
% 2.79/1.21  lits eq                                 16
% 2.79/1.21  fd_pure                                 0
% 2.79/1.21  fd_pseudo                               0
% 2.79/1.21  fd_cond                                 0
% 2.79/1.21  fd_pseudo_cond                          4
% 2.79/1.21  AC symbols                              1
% 2.79/1.21  
% 2.79/1.21  ------ Schedule dynamic 5 is on 
% 2.79/1.21  
% 2.79/1.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.79/1.21  
% 2.79/1.21  
% 2.79/1.21  ------ 
% 2.79/1.21  Current options:
% 2.79/1.21  ------ 
% 2.79/1.21  
% 2.79/1.21  
% 2.79/1.21  
% 2.79/1.21  
% 2.79/1.21  ------ Proving...
% 2.79/1.21  
% 2.79/1.21  
% 2.79/1.21  % SZS status Theorem for theBenchmark.p
% 2.79/1.21  
% 2.79/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.79/1.21  
% 2.79/1.21  
%------------------------------------------------------------------------------