TSTP Solution File: SWC327-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC327-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 03:12:01 EDT 2024

% Result   : Unsatisfiable 7.23s 1.63s
% Output   : CNFRefutation 7.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   61 (  15 unt;  10 nHn;  61 RR)
%            Number of literals    :  180 (  87 equ; 114 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   43 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

cnf(c_54,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

cnf(c_55,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    equalelemsP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( app(cons(X0,nil),X1) != sk5
    | app(X2,cons(X0,nil)) != sk3
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( sk3 != nil
    | sk4 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | sk1 = nil
    | ssItem(sk6(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | ssItem(sk6(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | sk1 = nil
    | ssList(sk7(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | app(cons(sk6(X0),nil),sk7(X0)) = X0
    | sk1 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | sk1 = nil
    | ssList(sk8(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | app(sk8(X0),cons(sk6(X0),nil)) = sk1
    | sk1 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | ssList(sk7(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

cnf(c_67,negated_conjecture,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | app(cons(sk6(X0),nil),sk7(X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

cnf(c_68,negated_conjecture,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | ssList(sk8(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).

cnf(c_69,negated_conjecture,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | ~ equalelemsP(sk1)
    | app(sk8(X0),cons(sk6(X0),nil)) = sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).

cnf(c_1647,plain,
    equalelemsP(sk1),
    inference(demodulation,[status(thm)],[c_57,c_54]) ).

cnf(c_1679,plain,
    app(sk1,sk5) = sk2,
    inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).

cnf(c_1738,plain,
    ( sk1 != nil
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).

cnf(c_2293,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | sk1 = nil
    | ssList(sk8(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_64,c_1647]) ).

cnf(c_2302,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | sk1 = nil
    | ssList(sk7(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_62,c_1647]) ).

cnf(c_2311,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | sk1 = nil
    | ssItem(sk6(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_60,c_1647]) ).

cnf(c_2348,plain,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | ssList(sk8(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_68,c_1647]) ).

cnf(c_2357,plain,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | ssList(sk7(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_66,c_1647]) ).

cnf(c_2366,plain,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | ssItem(sk6(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_61,c_1647]) ).

cnf(c_2563,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | app(sk8(X0),cons(sk6(X0),nil)) = sk1
    | sk1 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_65,c_1647]) ).

cnf(c_2572,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | app(cons(sk6(X0),nil),sk7(X0)) = X0
    | sk1 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_63,c_1647]) ).

cnf(c_2581,plain,
    ( app(cons(X0,nil),X1) != sk5
    | app(X2,cons(X0,nil)) != sk1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X0) ),
    inference(light_normalisation,[status(thm)],[c_58,c_54]) ).

cnf(c_2592,plain,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | app(sk8(X0),cons(sk6(X0),nil)) = sk1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_69,c_1647]) ).

cnf(c_2601,plain,
    ( app(sk1,X0) != sk2
    | sk2 != nil
    | ~ ssList(X0)
    | app(cons(sk6(X0),nil),sk7(X0)) = X0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_67,c_1647]) ).

cnf(c_3658,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | app(cons(sk6(X0),nil),sk7(X0)) = X0 ),
    inference(global_subsumption_just,[status(thm)],[c_2601,c_63,c_67,c_1647,c_1738]) ).

cnf(c_3661,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | app(sk8(X0),cons(sk6(X0),nil)) = sk1 ),
    inference(global_subsumption_just,[status(thm)],[c_2592,c_65,c_69,c_1647,c_1738]) ).

cnf(c_3664,plain,
    ( app(cons(sk6(X0),nil),sk7(X0)) = X0
    | ~ ssList(X0)
    | app(sk1,X0) != sk2 ),
    inference(global_subsumption_just,[status(thm)],[c_2572,c_3658]) ).

cnf(c_3665,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | app(cons(sk6(X0),nil),sk7(X0)) = X0 ),
    inference(renaming,[status(thm)],[c_3664]) ).

cnf(c_3666,plain,
    ( app(sk8(X0),cons(sk6(X0),nil)) = sk1
    | ~ ssList(X0)
    | app(sk1,X0) != sk2 ),
    inference(global_subsumption_just,[status(thm)],[c_2563,c_3661]) ).

cnf(c_3667,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | app(sk8(X0),cons(sk6(X0),nil)) = sk1 ),
    inference(renaming,[status(thm)],[c_3666]) ).

cnf(c_3668,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ssItem(sk6(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_2366,c_60,c_61,c_1647,c_1738]) ).

cnf(c_3671,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ssList(sk7(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_2357,c_62,c_66,c_1647,c_1738]) ).

cnf(c_3674,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ssList(sk8(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_2348,c_64,c_68,c_1647,c_1738]) ).

cnf(c_3677,plain,
    ( ~ ssList(X0)
    | app(sk1,X0) != sk2
    | ssItem(sk6(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_2311,c_3668]) ).

cnf(c_3678,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ssItem(sk6(X0)) ),
    inference(renaming,[status(thm)],[c_3677]) ).

cnf(c_3679,plain,
    ( ~ ssList(X0)
    | app(sk1,X0) != sk2
    | ssList(sk7(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_2302,c_3671]) ).

cnf(c_3680,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ssList(sk7(X0)) ),
    inference(renaming,[status(thm)],[c_3679]) ).

cnf(c_3681,plain,
    ( ~ ssList(X0)
    | app(sk1,X0) != sk2
    | ssList(sk8(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_2293,c_3674]) ).

cnf(c_3682,plain,
    ( app(sk1,X0) != sk2
    | ~ ssList(X0)
    | ssList(sk8(X0)) ),
    inference(renaming,[status(thm)],[c_3681]) ).

cnf(c_9712,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_12305,plain,
    ( ~ ssList(sk5)
    | ssItem(sk6(sk5)) ),
    inference(superposition,[status(thm)],[c_1679,c_3678]) ).

cnf(c_12306,plain,
    ssItem(sk6(sk5)),
    inference(forward_subsumption_resolution,[status(thm)],[c_12305,c_9712]) ).

cnf(c_12313,plain,
    ( ~ ssList(sk5)
    | ssList(sk7(sk5)) ),
    inference(superposition,[status(thm)],[c_1679,c_3680]) ).

cnf(c_12314,plain,
    ssList(sk7(sk5)),
    inference(forward_subsumption_resolution,[status(thm)],[c_12313,c_9712]) ).

cnf(c_12321,plain,
    ( ~ ssList(sk5)
    | ssList(sk8(sk5)) ),
    inference(superposition,[status(thm)],[c_1679,c_3682]) ).

cnf(c_12322,plain,
    ssList(sk8(sk5)),
    inference(forward_subsumption_resolution,[status(thm)],[c_12321,c_9712]) ).

cnf(c_12329,plain,
    ( ~ ssList(sk5)
    | app(cons(sk6(sk5),nil),sk7(sk5)) = sk5 ),
    inference(superposition,[status(thm)],[c_1679,c_3665]) ).

cnf(c_12330,plain,
    app(cons(sk6(sk5),nil),sk7(sk5)) = sk5,
    inference(forward_subsumption_resolution,[status(thm)],[c_12329,c_9712]) ).

cnf(c_12355,plain,
    ( ~ ssList(sk5)
    | app(sk8(sk5),cons(sk6(sk5),nil)) = sk1 ),
    inference(superposition,[status(thm)],[c_1679,c_3667]) ).

cnf(c_12356,plain,
    app(sk8(sk5),cons(sk6(sk5),nil)) = sk1,
    inference(forward_subsumption_resolution,[status(thm)],[c_12355,c_9712]) ).

cnf(c_12367,plain,
    ( app(X0,cons(sk6(sk5),nil)) != sk1
    | ~ ssList(sk7(sk5))
    | ~ ssItem(sk6(sk5))
    | ~ ssList(X0) ),
    inference(superposition,[status(thm)],[c_12330,c_2581]) ).

cnf(c_12368,plain,
    ( app(X0,cons(sk6(sk5),nil)) != sk1
    | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12367,c_12306,c_12314]) ).

cnf(c_12376,plain,
    ~ ssList(sk8(sk5)),
    inference(superposition,[status(thm)],[c_12356,c_12368]) ).

cnf(c_12377,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12376,c_12322]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC327-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:23:57 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 7.23/1.63  % SZS status Started for theBenchmark.p
% 7.23/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.23/1.63  
% 7.23/1.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.23/1.63  
% 7.23/1.63  ------  iProver source info
% 7.23/1.63  
% 7.23/1.63  git: date: 2024-05-02 19:28:25 +0000
% 7.23/1.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.23/1.63  git: non_committed_changes: false
% 7.23/1.63  
% 7.23/1.63  ------ Parsing...successful
% 7.23/1.63  
% 7.23/1.63  
% 7.23/1.63  
% 7.23/1.63  ------ Preprocessing... sup_sim: 18  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  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.23/1.63  
% 7.23/1.63  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.23/1.63  
% 7.23/1.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.23/1.63  ------ Proving...
% 7.23/1.63  ------ Problem Properties 
% 7.23/1.63  
% 7.23/1.63  
% 7.23/1.63  clauses                                 191
% 7.23/1.63  conjectures                             5
% 7.23/1.63  EPR                                     59
% 7.23/1.63  Horn                                    163
% 7.23/1.63  unary                                   65
% 7.23/1.63  binary                                  22
% 7.23/1.63  lits                                    570
% 7.23/1.63  lits eq                                 83
% 7.86/1.63  fd_pure                                 0
% 7.86/1.63  fd_pseudo                               0
% 7.86/1.63  fd_cond                                 15
% 7.86/1.63  fd_pseudo_cond                          14
% 7.86/1.63  AC symbols                              0
% 7.86/1.63  
% 7.86/1.63  ------ Schedule dynamic 5 is on 
% 7.86/1.63  
% 7.86/1.63  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.86/1.63  
% 7.86/1.63  
% 7.86/1.63  ------ 
% 7.86/1.63  Current options:
% 7.86/1.63  ------ 
% 7.86/1.63  
% 7.86/1.63  
% 7.86/1.63  
% 7.86/1.63  
% 7.86/1.63  ------ Proving...
% 7.86/1.63  
% 7.86/1.63  
% 7.86/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.63  
% 7.86/1.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.86/1.63  
% 7.86/1.63  
%------------------------------------------------------------------------------