TSTP Solution File: NUM423+3 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 02:49:13 EDT 2024

% Result   : Theorem 3.12s 1.20s
% Output   : CNFRefutation 3.12s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    aInteger0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).

fof(f10,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).

fof(f15,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).

fof(f20,axiom,
    ( sz00 != xq
    & aInteger0(xq)
    & aInteger0(xa) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__671) ).

fof(f21,conjecture,
    ( sdteqdtlpzmzozddtrp0(xa,xa,xq)
    | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
    | ? [X0] :
        ( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa))
        & aInteger0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f22,negated_conjecture,
    ~ ( sdteqdtlpzmzozddtrp0(xa,xa,xq)
      | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
      | ? [X0] :
          ( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xa))
          & aInteger0(X0) ) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f34,plain,
    ! [X0] :
      ( ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sz00 = sdtpldt0(X0,smndt0(X0)) )
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f42,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f49,plain,
    ( ~ sdteqdtlpzmzozddtrp0(xa,xa,xq)
    & ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
    & ! [X0] :
        ( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa))
        | ~ aInteger0(X0) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f56,plain,
    aInteger0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f65,plain,
    ! [X0] :
      ( sz00 = sdtpldt0(X0,smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f73,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f85,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f20]) ).

fof(f86,plain,
    aInteger0(xq),
    inference(cnf_transformation,[],[f20]) ).

fof(f88,plain,
    ! [X0] :
      ( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_49,plain,
    aInteger0(sz00),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_59,plain,
    ( ~ aInteger0(X0)
    | sdtpldt0(X0,smndt0(X0)) = sz00 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_67,plain,
    ( ~ aInteger0(X0)
    | sdtasdt0(X0,sz00) = sz00 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_79,plain,
    aInteger0(xq),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_80,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_83,negated_conjecture,
    ( sdtpldt0(xa,smndt0(xa)) != sdtasdt0(xq,X0)
    | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_797,plain,
    smndt0(xa) = sP0_iProver_def,
    definition ).

cnf(c_798,plain,
    sdtpldt0(xa,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_799,negated_conjecture,
    ( sP1_iProver_def != sdtasdt0(xq,X0)
    | ~ aInteger0(X0) ),
    inference(demodulation,[status(thm)],[c_83,c_797,c_798]) ).

cnf(c_1253,plain,
    sdtasdt0(xq,sz00) = sz00,
    inference(superposition,[status(thm)],[c_79,c_67]) ).

cnf(c_1386,plain,
    ( sz00 != sP1_iProver_def
    | ~ aInteger0(sz00) ),
    inference(superposition,[status(thm)],[c_1253,c_799]) ).

cnf(c_1387,plain,
    sz00 != sP1_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_1386,c_49]) ).

cnf(c_1456,plain,
    sdtpldt0(xa,smndt0(xa)) = sz00,
    inference(superposition,[status(thm)],[c_80,c_59]) ).

cnf(c_1459,plain,
    sz00 = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1456,c_797,c_798]) ).

cnf(c_1504,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1459,c_1387]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n015.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 : Thu May  2 19:47:06 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 3.12/1.20  % SZS status Started for theBenchmark.p
% 3.12/1.20  % SZS status Theorem for theBenchmark.p
% 3.12/1.20  
% 3.12/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.12/1.20  
% 3.12/1.20  ------  iProver source info
% 3.12/1.20  
% 3.12/1.20  git: date: 2024-05-02 19:28:25 +0000
% 3.12/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.12/1.20  git: non_committed_changes: false
% 3.12/1.20  
% 3.12/1.20  ------ Parsing...
% 3.12/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.12/1.20  
% 3.12/1.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 3.12/1.20  
% 3.12/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.12/1.20  
% 3.12/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.12/1.20  ------ Proving...
% 3.12/1.20  ------ Problem Properties 
% 3.12/1.20  
% 3.12/1.20  
% 3.12/1.20  clauses                                 30
% 3.12/1.20  conjectures                             1
% 3.12/1.20  EPR                                     5
% 3.12/1.20  Horn                                    27
% 3.12/1.20  unary                                   7
% 3.12/1.20  binary                                  12
% 3.12/1.20  lits                                    72
% 3.12/1.20  lits eq                                 26
% 3.12/1.20  fd_pure                                 0
% 3.12/1.20  fd_pseudo                               0
% 3.12/1.20  fd_cond                                 3
% 3.12/1.20  fd_pseudo_cond                          0
% 3.12/1.20  AC symbols                              0
% 3.12/1.20  
% 3.12/1.20  ------ Schedule dynamic 5 is on 
% 3.12/1.20  
% 3.12/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.12/1.20  
% 3.12/1.20  
% 3.12/1.20  ------ 
% 3.12/1.20  Current options:
% 3.12/1.20  ------ 
% 3.12/1.20  
% 3.12/1.20  
% 3.12/1.20  
% 3.12/1.20  
% 3.12/1.20  ------ Proving...
% 3.12/1.20  
% 3.12/1.20  
% 3.12/1.20  % SZS status Theorem for theBenchmark.p
% 3.12/1.20  
% 3.12/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/1.20  
% 3.12/1.20  
%------------------------------------------------------------------------------