TSTP Solution File: SWC050-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC050-1 : 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 03:11:02 EDT 2024

% Result   : Unsatisfiable 2.24s 1.13s
% Output   : CNFRefutation 2.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (   9 unt;   0 nHn;  23 RR)
%            Number of literals    :   52 (   4 equ;  34 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    5 (   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,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_57,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ rearsegP(sk1,X0)
    | ~ rearsegP(sk2,X0)
    | ~ ssList(X0)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_62,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ rearsegP(sk1,X0)
    | ~ rearsegP(sk2,X0)
    | ~ neq(sk4,nil)
    | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( ~ neq(sk4,nil)
    | rearsegP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( ~ neq(sk4,nil)
    | rearsegP(sk3,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

cnf(c_406,negated_conjecture,
    neq(sk2,nil),
    inference(global_subsumption_just,[status(thm)],[c_57,c_55]) ).

cnf(c_1584,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk5) ),
    inference(light_normalisation,[status(thm)],[c_63,c_53]) ).

cnf(c_1585,plain,
    ssList(sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1584,c_406]) ).

cnf(c_1636,plain,
    ( ~ neq(sk2,nil)
    | rearsegP(sk1,sk5) ),
    inference(light_normalisation,[status(thm)],[c_66,c_53,c_54]) ).

cnf(c_1637,plain,
    rearsegP(sk1,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1636,c_406]) ).

cnf(c_1638,plain,
    ( ~ neq(sk2,nil)
    | rearsegP(sk2,sk5) ),
    inference(light_normalisation,[status(thm)],[c_65,c_53]) ).

cnf(c_1639,plain,
    rearsegP(sk2,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1638,c_406]) ).

cnf(c_1640,plain,
    ( ~ neq(sk2,nil)
    | neq(sk5,nil) ),
    inference(light_normalisation,[status(thm)],[c_64,c_53]) ).

cnf(c_1641,plain,
    neq(sk5,nil),
    inference(forward_subsumption_resolution,[status(thm)],[c_1640,c_406]) ).

cnf(c_2086,plain,
    ( ~ neq(X0,nil)
    | ~ rearsegP(sk1,X0)
    | ~ rearsegP(sk2,X0)
    | ~ neq(sk2,nil)
    | ~ ssList(X0) ),
    inference(light_normalisation,[status(thm)],[c_62,c_53]) ).

cnf(c_2087,plain,
    ( ~ neq(X0,nil)
    | ~ rearsegP(sk1,X0)
    | ~ rearsegP(sk2,X0)
    | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2086,c_406]) ).

cnf(c_2859,plain,
    ( X0 != sk5
    | nil != nil
    | ~ rearsegP(sk1,X0)
    | ~ rearsegP(sk2,X0)
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_2087,c_1641]) ).

cnf(c_2860,plain,
    ( ~ rearsegP(sk1,sk5)
    | ~ rearsegP(sk2,sk5)
    | ~ ssList(sk5) ),
    inference(unflattening,[status(thm)],[c_2859]) ).

cnf(c_2861,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2860,c_1639,c_1637,c_1585]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWC050-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n022.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May  2 23:26:27 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  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
% 2.24/1.13  % SZS status Started for theBenchmark.p
% 2.24/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.13  
% 2.24/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.24/1.13  
% 2.24/1.13  ------  iProver source info
% 2.24/1.13  
% 2.24/1.13  git: date: 2024-05-02 19:28:25 +0000
% 2.24/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.24/1.13  git: non_committed_changes: false
% 2.24/1.13  
% 2.24/1.13  ------ Parsing...successful
% 2.24/1.13  
% 2.24/1.13  
% 2.24/1.13  
% 2.24/1.13  ------ Preprocessing... sup_sim: 9  sf_s  rm: 1 0s  sf_e  pe_s 
% 2.24/1.13  
% 2.24/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.24/1.13  
% 2.24/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.24/1.13  
% 2.24/1.13  
%------------------------------------------------------------------------------