TSTP Solution File: LCL800-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL800-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Thu Aug 31 07:52:31 EDT 2023

% Result   : Unsatisfiable 7.93s 1.65s
% Output   : CNFRefutation 7.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (  12 unt;   1 nHn;   5 RR)
%            Number of literals    :   14 (   8 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   21 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_318,plain,
    c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_liftn__0_0) ).

cnf(c_339,plain,
    ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__le_1) ).

cnf(c_369,plain,
    ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
    | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_substn_Osimps_I1_J_1) ).

cnf(c_385,plain,
    c_Lambda_Osubstn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_substn__subst__0_0) ).

cnf(c_391,plain,
    c_Lambda_OdB_OApp(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2)) = c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X3),X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__App_0) ).

cnf(c_410,plain,
    c_Lambda_Osubst(c_Lambda_Olift(X0,X1),X2,X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__lift_0) ).

cnf(c_415,plain,
    c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_416,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_608,plain,
    c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),
    inference(global_subsumption_just,[status(thm)],[c_369,c_339,c_369]) ).

cnf(c_9940,plain,
    c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(X0,X1),X2),X3,X1) = c_Lambda_OdB_OApp(X0,c_Lambda_Osubst(X2,X3,X1)),
    inference(superposition,[status(thm)],[c_410,c_391]) ).

cnf(c_12000,plain,
    c_Lambda_Osubst(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),X0,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),X0,c_HOL_Ozero__class_Ozero(tc_nat)),
    inference(superposition,[status(thm)],[c_385,c_608]) ).

cnf(c_21182,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
    inference(demodulation,[status(thm)],[c_415,c_318,c_9940,c_12000]) ).

cnf(c_21183,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_21182,c_416]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL800-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 19:11:12 EDT 2023
% 0.14/0.34  % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.93/1.65  % SZS status Started for theBenchmark.p
% 7.93/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.93/1.65  
% 7.93/1.65  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.93/1.65  
% 7.93/1.65  ------  iProver source info
% 7.93/1.65  
% 7.93/1.65  git: date: 2023-05-31 18:12:56 +0000
% 7.93/1.65  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.93/1.65  git: non_committed_changes: false
% 7.93/1.65  git: last_make_outside_of_git: false
% 7.93/1.65  
% 7.93/1.65  ------ Parsing...successful
% 7.93/1.65  
% 7.93/1.65  
% 7.93/1.65  
% 7.93/1.65  ------ Preprocessing... sup_sim: 9  sf_s  rm: 67 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 6  sf_s  rm: 23 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 23 0s  sf_e  pe_s  pe_e 
% 7.93/1.65  
% 7.93/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.93/1.65  
% 7.93/1.65  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.93/1.65  ------ Proving...
% 7.93/1.65  ------ Problem Properties 
% 7.93/1.65  
% 7.93/1.65  
% 7.93/1.65  clauses                                 166
% 7.93/1.65  conjectures                             1
% 7.93/1.65  EPR                                     7
% 7.93/1.65  Horn                                    146
% 7.93/1.65  unary                                   69
% 7.93/1.65  binary                                  67
% 7.93/1.65  lits                                    293
% 7.93/1.65  lits eq                                 138
% 7.93/1.65  fd_pure                                 0
% 7.93/1.65  fd_pseudo                               0
% 7.93/1.65  fd_cond                                 13
% 7.93/1.65  fd_pseudo_cond                          21
% 7.93/1.65  AC symbols                              0
% 7.93/1.65  
% 7.93/1.65  ------ Schedule dynamic 5 is on 
% 7.93/1.65  
% 7.93/1.65  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.93/1.65  
% 7.93/1.65  
% 7.93/1.65  ------ 
% 7.93/1.65  Current options:
% 7.93/1.65  ------ 
% 7.93/1.65  
% 7.93/1.65  
% 7.93/1.65  
% 7.93/1.65  
% 7.93/1.65  ------ Proving...
% 7.93/1.65  
% 7.93/1.65  
% 7.93/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.93/1.65  
% 7.93/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.93/1.65  
% 7.93/1.65  
%------------------------------------------------------------------------------