TSTP Solution File: NUM387+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM387+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 02:49:08 EDT 2024

% Result   : Theorem 2.42s 1.19s
% Output   : CNFRefutation 2.42s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(f5,axiom,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f6,axiom,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).

fof(f26,axiom,
    ! [X0] : in(X0,succ(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).

fof(f27,conjecture,
    ! [X0] : succ(X0) != X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_ordinal1) ).

fof(f28,negated_conjecture,
    ~ ! [X0] : succ(X0) != X0,
    inference(negated_conjecture,[],[f27]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f51,plain,
    ? [X0] : succ(X0) = X0,
    inference(ennf_transformation,[],[f28]) ).

fof(f80,plain,
    ( ? [X0] : succ(X0) = X0
   => sK11 = succ(sK11) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    sK11 = succ(sK11),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f51,f80]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f87,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ! [X0] : in(X0,succ(X0)),
    inference(cnf_transformation,[],[f26]) ).

fof(f119,plain,
    sK11 = succ(sK11),
    inference(cnf_transformation,[],[f81]) ).

fof(f127,plain,
    ! [X0] : in(X0,set_union2(X0,singleton(X0))),
    inference(definition_unfolding,[],[f118,f88]) ).

fof(f128,plain,
    sK11 = set_union2(sK11,singleton(sK11)),
    inference(definition_unfolding,[],[f119,f88]) ).

cnf(c_49,plain,
    ( ~ in(X0,X1)
    | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_52,plain,
    set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_82,plain,
    in(X0,set_union2(X0,singleton(X0))),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_83,negated_conjecture,
    set_union2(sK11,singleton(sK11)) = sK11,
    inference(cnf_transformation,[],[f128]) ).

cnf(c_364,plain,
    singleton(sK11) = sP0_iProver_def,
    definition ).

cnf(c_365,plain,
    set_union2(sK11,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_366,negated_conjecture,
    sP1_iProver_def = sK11,
    inference(demodulation,[status(thm)],[c_83,c_364,c_365]) ).

cnf(c_559,plain,
    singleton(sP1_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_364,c_366]) ).

cnf(c_560,plain,
    set_union2(sP1_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_365,c_366]) ).

cnf(c_561,plain,
    set_union2(sP0_iProver_def,sP1_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_560,c_52]) ).

cnf(c_563,plain,
    in(sP1_iProver_def,set_union2(sP1_iProver_def,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_559,c_82]) ).

cnf(c_565,plain,
    in(sP1_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_563,c_52,c_561]) ).

cnf(c_606,plain,
    ~ in(sP1_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_565,c_49]) ).

cnf(c_607,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_606,c_565]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM387+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 20:00:15 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 2.42/1.19  % SZS status Started for theBenchmark.p
% 2.42/1.19  % SZS status Theorem for theBenchmark.p
% 2.42/1.19  
% 2.42/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.42/1.19  
% 2.42/1.19  ------  iProver source info
% 2.42/1.19  
% 2.42/1.19  git: date: 2024-05-02 19:28:25 +0000
% 2.42/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.42/1.19  git: non_committed_changes: false
% 2.42/1.19  
% 2.42/1.19  ------ Parsing...
% 2.42/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.42/1.19  
% 2.42/1.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 20 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 2.42/1.19  
% 2.42/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.42/1.19  
% 2.42/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.42/1.19  ------ Proving...
% 2.42/1.19  ------ Problem Properties 
% 2.42/1.19  
% 2.42/1.19  
% 2.42/1.19  clauses                                 21
% 2.42/1.19  conjectures                             1
% 2.42/1.19  EPR                                     11
% 2.42/1.19  Horn                                    20
% 2.42/1.19  unary                                   14
% 2.42/1.19  binary                                  6
% 2.42/1.19  lits                                    29
% 2.42/1.19  lits eq                                 8
% 2.42/1.19  fd_pure                                 0
% 2.42/1.19  fd_pseudo                               0
% 2.42/1.19  fd_cond                                 1
% 2.42/1.19  fd_pseudo_cond                          1
% 2.42/1.19  AC symbols                              0
% 2.42/1.19  
% 2.42/1.19  ------ Schedule dynamic 5 is on 
% 2.42/1.19  
% 2.42/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.42/1.19  
% 2.42/1.19  
% 2.42/1.19  ------ 
% 2.42/1.19  Current options:
% 2.42/1.19  ------ 
% 2.42/1.19  
% 2.42/1.19  
% 2.42/1.19  
% 2.42/1.19  
% 2.42/1.19  ------ Proving...
% 2.42/1.19  
% 2.42/1.19  
% 2.42/1.19  % SZS status Theorem for theBenchmark.p
% 2.42/1.19  
% 2.42/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.42/1.19  
% 2.42/1.19  
%------------------------------------------------------------------------------