TSTP Solution File: SWC153-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 03:11:26 EDT 2024

% Result   : Unsatisfiable 0.47s 1.17s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   41 (  21 unt;   0 nHn;  41 RR)
%            Number of literals    :  128 (   9 equ;  90 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn)

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

cnf(c_55,negated_conjecture,
    ( app(app(app(app(X0,cons(X1,nil)),X2),cons(X3,nil)),X4) != sk3
    | ~ leq(X3,X1)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | leq(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( app(app(app(app(X0,cons(X1,nil)),X2),cons(X3,nil)),X4) != sk3
    | ~ leq(X3,X1)
    | ~ memberP(X2,X5)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | ~ ssItem(X5)
    | leq(X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( app(app(app(app(X0,cons(X1,nil)),X2),cons(X3,nil)),X4) != sk3
    | ~ leq(X3,X1)
    | ~ memberP(X2,X5)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | ~ ssItem(X5)
    | leq(X5,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ssList(sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    leq(sk6,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | ssItem(sk10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | memberP(sk8,sk10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

cnf(c_67,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | ~ leq(sk5,sk10)
    | ~ leq(sk10,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

cnf(c_1941,plain,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk3,
    inference(light_normalisation,[status(thm)],[c_63,c_54]) ).

cnf(c_6578,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | ~ leq(sk5,sk10)
    | ~ leq(sk10,sk6) ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_6579,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | memberP(sk8,sk10) ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_6580,negated_conjecture,
    ( ~ leq(sk5,sk6)
    | ssItem(sk10) ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_6581,negated_conjecture,
    leq(sk6,sk5),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_6582,negated_conjecture,
    ssList(sk9),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_6583,negated_conjecture,
    ssList(sk8),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_6584,negated_conjecture,
    ssList(sk7),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_6585,negated_conjecture,
    ssItem(sk6),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_6586,negated_conjecture,
    ssItem(sk5),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_6587,negated_conjecture,
    ( app(app(app(app(X0,cons(X1,nil)),X2),cons(X3,nil)),X4) != sk3
    | ~ leq(X3,X1)
    | ~ memberP(X2,X5)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | ~ ssItem(X5)
    | leq(X5,X3) ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_6588,negated_conjecture,
    ( app(app(app(app(X0,cons(X1,nil)),X2),cons(X3,nil)),X4) != sk3
    | ~ leq(X3,X1)
    | ~ memberP(X2,X5)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | ~ ssItem(X5)
    | leq(X1,X5) ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_6589,negated_conjecture,
    ( app(app(app(app(X0,cons(X1,nil)),X2),cons(X3,nil)),X4) != sk3
    | ~ leq(X3,X1)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | leq(X1,X3) ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_9317,plain,
    ( ~ memberP(sk8,X0)
    | ~ leq(sk6,sk5)
    | ~ ssItem(X0)
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssList(sk9)
    | ~ ssItem(sk5)
    | ~ ssItem(sk6)
    | leq(sk5,X0) ),
    inference(superposition,[status(thm)],[c_1941,c_6588]) ).

cnf(c_9318,plain,
    ( ~ memberP(sk8,X0)
    | ~ leq(sk6,sk5)
    | ~ ssItem(X0)
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssList(sk9)
    | ~ ssItem(sk5)
    | ~ ssItem(sk6)
    | leq(X0,sk6) ),
    inference(superposition,[status(thm)],[c_1941,c_6587]) ).

cnf(c_9319,plain,
    ( ~ leq(sk6,sk5)
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssList(sk9)
    | ~ ssItem(sk5)
    | ~ ssItem(sk6)
    | leq(sk5,sk6) ),
    inference(superposition,[status(thm)],[c_1941,c_6589]) ).

cnf(c_9320,plain,
    leq(sk5,sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_9319,c_6585,c_6586,c_6582,c_6583,c_6584,c_6581]) ).

cnf(c_9321,plain,
    ( ~ memberP(sk8,X0)
    | ~ ssItem(X0)
    | leq(X0,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9318,c_6585,c_6586,c_6582,c_6583,c_6584,c_6581]) ).

cnf(c_9325,plain,
    ( ~ memberP(sk8,X0)
    | ~ ssItem(X0)
    | leq(sk5,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9317,c_6585,c_6586,c_6582,c_6583,c_6584,c_6581]) ).

cnf(c_9354,plain,
    ( ~ leq(sk5,sk10)
    | ~ leq(sk10,sk6) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_6578,c_9320]) ).

cnf(c_9355,plain,
    memberP(sk8,sk10),
    inference(backward_subsumption_resolution,[status(thm)],[c_6579,c_9320]) ).

cnf(c_9356,plain,
    ssItem(sk10),
    inference(backward_subsumption_resolution,[status(thm)],[c_6580,c_9320]) ).

cnf(c_9376,plain,
    ( ~ ssItem(sk10)
    | leq(sk10,sk6) ),
    inference(superposition,[status(thm)],[c_9355,c_9321]) ).

cnf(c_9377,plain,
    leq(sk10,sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_9376,c_9356]) ).

cnf(c_9385,plain,
    ( ~ ssItem(sk10)
    | leq(sk5,sk10) ),
    inference(superposition,[status(thm)],[c_9355,c_9325]) ).

cnf(c_9386,plain,
    leq(sk5,sk10),
    inference(forward_subsumption_resolution,[status(thm)],[c_9385,c_9356]) ).

cnf(c_9387,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9386,c_9377,c_9354]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 23:41:43 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 0.47/1.17  % SZS status Started for theBenchmark.p
% 0.47/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17  
% 0.47/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.17  
% 0.47/1.17  ------  iProver source info
% 0.47/1.17  
% 0.47/1.17  git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.17  git: non_committed_changes: false
% 0.47/1.17  
% 0.47/1.17  ------ Parsing...successful
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  ------ Preprocessing... sup_sim: 5  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 
% 0.47/1.17  
% 0.47/1.17  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.17  
% 0.47/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.47/1.17  ------ Proving...
% 0.47/1.17  ------ Problem Properties 
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  clauses                                 194
% 0.47/1.17  conjectures                             16
% 0.47/1.17  EPR                                     65
% 0.47/1.17  Horn                                    166
% 0.47/1.17  unary                                   69
% 0.47/1.17  binary                                  23
% 0.47/1.17  lits                                    587
% 0.47/1.17  lits eq                                 75
% 0.47/1.17  fd_pure                                 0
% 0.47/1.17  fd_pseudo                               0
% 0.47/1.17  fd_cond                                 15
% 0.47/1.17  fd_pseudo_cond                          14
% 0.47/1.17  AC symbols                              0
% 0.47/1.17  
% 0.47/1.17  ------ Schedule dynamic 5 is on 
% 0.47/1.17  
% 0.47/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  ------ 
% 0.47/1.17  Current options:
% 0.47/1.17  ------ 
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  ------ Proving...
% 0.47/1.17  
% 0.47/1.17  
% 0.47/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17  
% 0.47/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.17  
% 0.47/1.17  
%------------------------------------------------------------------------------