TSTP Solution File: SWC076-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC076-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 03:11:08 EDT 2024

% Result   : Unsatisfiable 0.37s 1.05s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   35 (  18 unt;   1 nHn;  35 RR)
%            Number of literals    :   85 (  22 equ;  56 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   18 (   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(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    app(app(sk5,sk3),sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_62,negated_conjecture,
    ( sk3 != nil
    | sk4 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( sk1 != nil
    | sk2 != nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_71,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_120,plain,
    ( ~ ssList(X0)
    | segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(c_163,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_236,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_263,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_236]) ).

cnf(c_1638,plain,
    app(app(sk5,sk3),sk6) = sk2,
    inference(light_normalisation,[status(thm)],[c_58,c_53]) ).

cnf(c_1647,plain,
    ( sk3 != nil
    | sk2 = nil ),
    inference(light_normalisation,[status(thm)],[c_62,c_53]) ).

cnf(c_1688,plain,
    ( sk2 != nil
    | sk3 != nil ),
    inference(light_normalisation,[status(thm)],[c_63,c_54]) ).

cnf(c_1691,plain,
    sk3 != nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_1688,c_1647]) ).

cnf(c_1890,plain,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk3,X0)
    | ~ ssList(X0) ),
    inference(light_normalisation,[status(thm)],[c_55,c_54]) ).

cnf(c_2760,plain,
    ( X0 != X1
    | X2 != nil
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk3,X0)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X1 = X2 ),
    inference(resolution_lifted,[status(thm)],[c_1890,c_163]) ).

cnf(c_2761,plain,
    ( ~ segmentP(sk2,X0)
    | ~ segmentP(sk3,X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | X0 = nil ),
    inference(unflattening,[status(thm)],[c_2760]) ).

cnf(c_2763,plain,
    ( ~ ssList(X0)
    | ~ segmentP(sk3,X0)
    | ~ segmentP(sk2,X0)
    | X0 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_2761,c_71,c_2761]) ).

cnf(c_2764,plain,
    ( ~ segmentP(sk2,X0)
    | ~ segmentP(sk3,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    inference(renaming,[status(thm)],[c_2763]) ).

cnf(c_6522,negated_conjecture,
    ssList(sk6),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_6523,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_6526,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_6527,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_9121,plain,
    ( ~ ssList(app(app(sk5,sk3),sk6))
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | segmentP(sk2,sk3) ),
    inference(superposition,[status(thm)],[c_1638,c_263]) ).

cnf(c_9129,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | segmentP(sk2,sk3) ),
    inference(light_normalisation,[status(thm)],[c_9121,c_1638]) ).

cnf(c_9130,plain,
    segmentP(sk2,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_9129,c_6522,c_6523,c_6526,c_6527]) ).

cnf(c_9139,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ ssList(sk3)
    | sk3 = nil ),
    inference(superposition,[status(thm)],[c_9130,c_2764]) ).

cnf(c_9140,plain,
    ~ segmentP(sk3,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_9139,c_1691,c_6526]) ).

cnf(c_9184,plain,
    ~ ssList(sk3),
    inference(superposition,[status(thm)],[c_120,c_9140]) ).

cnf(c_9185,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9184,c_6526]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWC076-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Thu May  2 23:44:38 EDT 2024
% 0.11/0.31  % CPUTime  : 
% 0.16/0.40  Running first-order theorem proving
% 0.16/0.40  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
% 0.37/1.05  % SZS status Started for theBenchmark.p
% 0.37/1.05  % SZS status Unsatisfiable for theBenchmark.p
% 0.37/1.05  
% 0.37/1.05  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.37/1.05  
% 0.37/1.05  ------  iProver source info
% 0.37/1.05  
% 0.37/1.05  git: date: 2024-05-02 19:28:25 +0000
% 0.37/1.05  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.37/1.05  git: non_committed_changes: false
% 0.37/1.05  
% 0.37/1.05  ------ Parsing...successful
% 0.37/1.05  
% 0.37/1.05  
% 0.37/1.05  
% 0.37/1.05  ------ Preprocessing... sup_sim: 8  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 
% 0.37/1.05  
% 0.37/1.05  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.37/1.05  
% 0.37/1.05  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.37/1.05  ------ Proving...
% 0.37/1.05  ------ Problem Properties 
% 0.37/1.05  
% 0.37/1.05  
% 0.37/1.05  clauses                                 189
% 0.37/1.05  conjectures                             9
% 0.37/1.05  EPR                                     61
% 0.37/1.05  Horn                                    161
% 0.37/1.05  unary                                   67
% 0.37/1.05  binary                                  21
% 0.37/1.05  lits                                    564
% 0.37/1.05  lits eq                                 78
% 0.37/1.05  fd_pure                                 0
% 0.37/1.05  fd_pseudo                               0
% 0.37/1.05  fd_cond                                 16
% 0.37/1.05  fd_pseudo_cond                          14
% 0.37/1.05  AC symbols                              0
% 0.37/1.05  
% 0.37/1.05  ------ Schedule dynamic 5 is on 
% 0.37/1.05  
% 0.37/1.05  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.37/1.05  
% 0.37/1.05  
% 0.37/1.05  ------ 
% 0.37/1.05  Current options:
% 0.37/1.05  ------ 
% 0.37/1.05  
% 0.37/1.05  
% 0.37/1.05  
% 0.37/1.05  
% 0.37/1.05  ------ Proving...
% 0.37/1.05  
% 0.37/1.05  
% 0.37/1.05  % SZS status Unsatisfiable for theBenchmark.p
% 0.37/1.05  
% 0.37/1.05  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.37/1.05  
% 0.37/1.05  
%------------------------------------------------------------------------------