TSTP Solution File: SWC024-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC024-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 03:10:55 EDT 2024

% Result   : Unsatisfiable 0.41s 1.12s
% Output   : CNFRefutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   37 (  17 unt;   1 nHn;  37 RR)
%            Number of literals    :   88 (  23 equ;  60 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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

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,
    ( ~ neq(X0,nil)
    | ~ frontsegP(sk1,X0)
    | ~ frontsegP(sk2,X0)
    | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

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

cnf(c_69,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_122,plain,
    ( ~ ssList(X0)
    | frontsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).

cnf(c_146,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(c_161,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_176,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_205,plain,
    ( app(X0,X1) != X2
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | frontsegP(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).

cnf(c_252,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_176]) ).

cnf(c_256,plain,
    ( ~ ssList(app(X0,X1))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | frontsegP(app(X0,X1),X0) ),
    inference(unflattening,[status(thm)],[c_205]) ).

cnf(c_644,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | frontsegP(app(X0,X1),X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_256,c_146]) ).

cnf(c_1571,plain,
    app(sk3,sk5) = sk2,
    inference(light_normalisation,[status(thm)],[c_58,c_53]) ).

cnf(c_1630,plain,
    ( sk3 != nil
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_61,c_53]) ).

cnf(c_1869,plain,
    ( ~ neq(X0,nil)
    | ~ frontsegP(sk2,X0)
    | ~ frontsegP(sk3,X0)
    | ~ ssList(X0) ),
    inference(light_normalisation,[status(thm)],[c_56,c_54]) ).

cnf(c_2718,plain,
    ( X0 != sk2
    | X0 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_252]) ).

cnf(c_2719,plain,
    ( sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_2718]) ).

cnf(c_2720,plain,
    sk2 != nil,
    inference(global_subsumption_just,[status(thm)],[c_2719,c_50,c_2719]) ).

cnf(c_2748,plain,
    ( X0 != X1
    | X2 != nil
    | ~ frontsegP(sk2,X0)
    | ~ frontsegP(sk3,X0)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X1 = X2 ),
    inference(resolution_lifted,[status(thm)],[c_1869,c_161]) ).

cnf(c_2749,plain,
    ( ~ frontsegP(sk2,X0)
    | ~ frontsegP(sk3,X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | X0 = nil ),
    inference(unflattening,[status(thm)],[c_2748]) ).

cnf(c_2751,plain,
    ( ~ ssList(X0)
    | ~ frontsegP(sk3,X0)
    | ~ frontsegP(sk2,X0)
    | X0 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_2749,c_69,c_2749]) ).

cnf(c_2752,plain,
    ( ~ frontsegP(sk2,X0)
    | ~ frontsegP(sk3,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    inference(renaming,[status(thm)],[c_2751]) ).

cnf(c_2776,plain,
    sk3 != nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_1630,c_2720]) ).

cnf(c_6501,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_6504,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_9101,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk5)
    | frontsegP(sk2,sk3) ),
    inference(superposition,[status(thm)],[c_1571,c_644]) ).

cnf(c_9103,plain,
    frontsegP(sk2,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_9101,c_6501,c_6504]) ).

cnf(c_9104,plain,
    ( ~ frontsegP(sk3,sk3)
    | ~ ssList(sk3)
    | sk3 = nil ),
    inference(superposition,[status(thm)],[c_9103,c_2752]) ).

cnf(c_9105,plain,
    ~ frontsegP(sk3,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_9104,c_2776,c_6504]) ).

cnf(c_9141,plain,
    ~ ssList(sk3),
    inference(superposition,[status(thm)],[c_122,c_9105]) ).

cnf(c_9142,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9141,c_6504]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC024-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.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 23:46:16 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 0.41/1.12  % SZS status Started for theBenchmark.p
% 0.41/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.41/1.12  
% 0.41/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.41/1.12  
% 0.41/1.12  ------  iProver source info
% 0.41/1.12  
% 0.41/1.12  git: date: 2024-05-02 19:28:25 +0000
% 0.41/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.41/1.12  git: non_committed_changes: false
% 0.41/1.12  
% 0.41/1.12  ------ Parsing...successful
% 0.41/1.12  
% 0.41/1.12  
% 0.41/1.12  
% 0.41/1.12  ------ Preprocessing... sup_sim: 7  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 
% 0.41/1.12  
% 0.41/1.12  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.41/1.12  
% 0.41/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.41/1.12  ------ Proving...
% 0.41/1.12  ------ Problem Properties 
% 0.41/1.12  
% 0.41/1.12  
% 0.41/1.12  clauses                                 189
% 0.41/1.12  conjectures                             7
% 0.41/1.12  EPR                                     62
% 0.41/1.12  Horn                                    161
% 0.41/1.12  unary                                   67
% 0.41/1.12  binary                                  22
% 0.41/1.12  lits                                    561
% 0.41/1.12  lits eq                                 77
% 0.41/1.12  fd_pure                                 0
% 0.41/1.12  fd_pseudo                               0
% 0.41/1.12  fd_cond                                 16
% 0.41/1.12  fd_pseudo_cond                          14
% 0.41/1.12  AC symbols                              0
% 0.41/1.12  
% 0.41/1.12  ------ Schedule dynamic 5 is on 
% 0.41/1.12  
% 0.41/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.41/1.12  
% 0.41/1.12  
% 0.41/1.12  ------ 
% 0.41/1.12  Current options:
% 0.41/1.12  ------ 
% 0.41/1.12  
% 0.41/1.12  
% 0.41/1.12  
% 0.41/1.12  
% 0.41/1.12  ------ Proving...
% 0.41/1.12  
% 0.41/1.12  
% 0.41/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 0.41/1.12  
% 0.41/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.41/1.12  
% 0.41/1.12  
%------------------------------------------------------------------------------