TSTP Solution File: SWC384-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC384-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 03:12:16 EDT 2024

% Result   : Unsatisfiable 3.93s 1.20s
% Output   : CNFRefutation 3.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   42 (  20 unt;   8 nHn;  42 RR)
%            Number of literals    :   85 (  21 equ;  43 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

cnf(c_52,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

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,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

cnf(c_57,negated_conjecture,
    ( sk3 = nil
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk4 = nil
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( sk4 = nil
    | ssList(sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | sk4 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | sk4 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_64,negated_conjecture,
    ( sk3 = nil
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( sk3 = nil
    | ssList(sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(c_70,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ singletonP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).

cnf(c_185,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_186,plain,
    ( cons(X0,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | singletonP(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).

cnf(c_243,plain,
    ( app(app(X0,X1),X2) != X3
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(c_260,plain,
    ( ~ ssList(cons(X0,nil))
    | ~ ssItem(X0)
    | singletonP(cons(X0,nil)) ),
    inference(unflattening,[status(thm)],[c_186]) ).

cnf(c_261,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_185]) ).

cnf(c_270,plain,
    ( ~ ssList(app(app(X0,X1),X2))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | segmentP(app(app(X0,X1),X2),X1) ),
    inference(unflattening,[status(thm)],[c_243]) ).

cnf(c_1599,plain,
    neq(sk4,nil),
    inference(demodulation,[status(thm)],[c_55,c_53]) ).

cnf(c_1705,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ singletonP(sk3) ),
    inference(light_normalisation,[status(thm)],[c_70,c_53,c_54]) ).

cnf(c_2737,plain,
    ( X0 != sk4
    | X0 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_261,c_1599]) ).

cnf(c_2738,plain,
    ( sk4 != nil
    | ~ ssList(sk4) ),
    inference(unflattening,[status(thm)],[c_2737]) ).

cnf(c_2739,plain,
    sk4 != nil,
    inference(global_subsumption_just,[status(thm)],[c_2738,c_52,c_2738]) ).

cnf(c_2749,plain,
    cons(sk5,nil) = sk3,
    inference(backward_subsumption_resolution,[status(thm)],[c_60,c_2739]) ).

cnf(c_2751,plain,
    app(app(sk6,sk3),sk7) = sk4,
    inference(backward_subsumption_resolution,[status(thm)],[c_61,c_2739]) ).

cnf(c_3577,negated_conjecture,
    ssList(sk7),
    inference(global_subsumption_just,[status(thm)],[c_65,c_52,c_59,c_2738]) ).

cnf(c_3579,negated_conjecture,
    ssList(sk6),
    inference(global_subsumption_just,[status(thm)],[c_64,c_52,c_58,c_2738]) ).

cnf(c_3581,negated_conjecture,
    ssItem(sk5),
    inference(global_subsumption_just,[status(thm)],[c_57,c_52,c_56,c_2738]) ).

cnf(c_9488,negated_conjecture,
    ssList(sk7),
    inference(demodulation,[status(thm)],[c_3577]) ).

cnf(c_9489,negated_conjecture,
    ssItem(sk5),
    inference(demodulation,[status(thm)],[c_3581]) ).

cnf(c_9490,negated_conjecture,
    ssList(sk6),
    inference(demodulation,[status(thm)],[c_3579]) ).

cnf(c_9493,negated_conjecture,
    ssList(sk4),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_9494,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_12055,plain,
    ( ~ ssList(sk3)
    | ~ ssItem(sk5)
    | singletonP(cons(sk5,nil)) ),
    inference(superposition,[status(thm)],[c_2749,c_260]) ).

cnf(c_12056,plain,
    ( ~ ssList(sk3)
    | ~ ssItem(sk5)
    | singletonP(sk3) ),
    inference(light_normalisation,[status(thm)],[c_12055,c_2749]) ).

cnf(c_12057,plain,
    singletonP(sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_12056,c_9489,c_9494]) ).

cnf(c_12058,plain,
    ~ segmentP(sk4,sk3),
    inference(backward_subsumption_resolution,[status(thm)],[c_1705,c_12057]) ).

cnf(c_12100,plain,
    ( ~ ssList(app(app(sk6,sk3),sk7))
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | segmentP(sk4,sk3) ),
    inference(superposition,[status(thm)],[c_2751,c_270]) ).

cnf(c_12108,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | segmentP(sk4,sk3) ),
    inference(light_normalisation,[status(thm)],[c_12100,c_2751]) ).

cnf(c_12109,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12108,c_12058,c_9488,c_9490,c_9493,c_9494]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWC384-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.36  % Computer : n017.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Thu May  2 23:03:36 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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
% 3.93/1.20  % SZS status Started for theBenchmark.p
% 3.93/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.93/1.20  
% 3.93/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.93/1.20  
% 3.93/1.20  ------  iProver source info
% 3.93/1.20  
% 3.93/1.20  git: date: 2024-05-02 19:28:25 +0000
% 3.93/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.93/1.20  git: non_committed_changes: false
% 3.93/1.20  
% 3.93/1.20  ------ Parsing...successful
% 3.93/1.20  
% 3.93/1.20  
% 3.93/1.20  
% 3.93/1.20  ------ Preprocessing... sup_sim: 6  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.93/1.20  
% 3.93/1.20  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.93/1.20  
% 3.93/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.93/1.20  ------ Proving...
% 3.93/1.20  ------ Problem Properties 
% 3.93/1.20  
% 3.93/1.20  
% 3.93/1.20  clauses                                 190
% 3.93/1.20  conjectures                             7
% 3.93/1.20  EPR                                     63
% 3.93/1.20  Horn                                    162
% 3.93/1.20  unary                                   68
% 3.93/1.20  binary                                  22
% 3.93/1.20  lits                                    559
% 3.93/1.20  lits eq                                 74
% 3.93/1.20  fd_pure                                 0
% 3.93/1.20  fd_pseudo                               0
% 3.93/1.20  fd_cond                                 15
% 3.93/1.20  fd_pseudo_cond                          14
% 3.93/1.20  AC symbols                              0
% 3.93/1.20  
% 3.93/1.20  ------ Schedule dynamic 5 is on 
% 3.93/1.20  
% 3.93/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.93/1.20  
% 3.93/1.20  
% 3.93/1.20  ------ 
% 3.93/1.20  Current options:
% 3.93/1.20  ------ 
% 3.93/1.20  
% 3.93/1.20  
% 3.93/1.20  
% 3.93/1.20  
% 3.93/1.20  ------ Proving...
% 3.93/1.20  
% 3.93/1.20  
% 3.93/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.93/1.20  
% 3.93/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.93/1.20  
% 3.93/1.20  
%------------------------------------------------------------------------------