TSTP Solution File: SWC379-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC379-1 : 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 03:12:14 EDT 2024

% Result   : Unsatisfiable 4.03s 1.15s
% Output   : CNFRefutation 4.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   56 (  12 unt;  25 nHn;  56 RR)
%            Number of literals    :  167 (  29 equ;  85 neg)
%            Maximal clause size   :    6 (   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; 0-1 aty)
%            Number of variables   :   16 (   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,
    ( ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | ssItem(sk5(X0))
    | memberP(sk3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | memberP(sk4,sk5(X0))
    | memberP(sk3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | leq(sk5(X0),X0)
    | memberP(sk3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk5(X0) != X0
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | memberP(sk3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( ~ memberP(sk3,X0)
    | ~ ssItem(X0)
    | memberP(sk4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    ( ~ leq(X0,X1)
    | ~ memberP(sk3,X1)
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | ~ ssItem(X1)
    | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( memberP(sk1,sk6)
    | memberP(sk2,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( ~ memberP(sk2,X0)
    | ~ leq(X0,sk6)
    | ~ ssItem(X0)
    | X0 = sk6
    | memberP(sk1,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6)
    | ssItem(sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6)
    | memberP(sk2,sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6)
    | leq(sk7,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

cnf(c_67,negated_conjecture,
    ( sk6 != sk7
    | ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

cnf(c_1746,plain,
    ( ~ memberP(sk1,X0)
    | ~ ssItem(X0)
    | memberP(sk2,X0) ),
    inference(light_normalisation,[status(thm)],[c_59,c_53,c_54]) ).

cnf(c_1941,plain,
    ( ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | ssItem(sk5(X0))
    | memberP(sk1,X0) ),
    inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).

cnf(c_1966,plain,
    ( ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | leq(sk5(X0),X0)
    | memberP(sk1,X0) ),
    inference(light_normalisation,[status(thm)],[c_57,c_53,c_54]) ).

cnf(c_1975,plain,
    ( ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | memberP(sk2,sk5(X0))
    | memberP(sk1,X0) ),
    inference(light_normalisation,[status(thm)],[c_56,c_53,c_54]) ).

cnf(c_2002,plain,
    ( sk5(X0) != X0
    | ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | memberP(sk1,X0) ),
    inference(light_normalisation,[status(thm)],[c_58,c_53,c_54]) ).

cnf(c_2467,plain,
    ( ~ leq(X0,X1)
    | ~ memberP(sk1,X1)
    | ~ memberP(sk2,X0)
    | ~ ssItem(X0)
    | ~ ssItem(X1)
    | X0 = X1 ),
    inference(light_normalisation,[status(thm)],[c_60,c_53,c_54]) ).

cnf(c_6644,negated_conjecture,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6)
    | leq(sk7,sk6) ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_6645,negated_conjecture,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6)
    | memberP(sk2,sk7) ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_6646,negated_conjecture,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6)
    | ssItem(sk7) ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_6647,negated_conjecture,
    ( ~ memberP(sk2,X0)
    | ~ leq(X0,sk6)
    | ~ ssItem(X0)
    | X0 = sk6
    | memberP(sk1,sk6) ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_6648,negated_conjecture,
    ( memberP(sk1,sk6)
    | memberP(sk2,sk6) ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_6649,negated_conjecture,
    ssItem(sk6),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_9360,plain,
    ( ~ ssItem(sk6)
    | memberP(sk2,sk6) ),
    inference(superposition,[status(thm)],[c_6648,c_1746]) ).

cnf(c_9361,plain,
    memberP(sk2,sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_9360,c_6649]) ).

cnf(c_9363,plain,
    ( ~ memberP(sk1,sk6)
    | leq(sk7,sk6) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_6644,c_9361]) ).

cnf(c_9364,plain,
    ( ~ memberP(sk1,sk6)
    | memberP(sk2,sk7) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_6645,c_9361]) ).

cnf(c_9365,plain,
    ( ~ memberP(sk1,sk6)
    | ssItem(sk7) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_6646,c_9361]) ).

cnf(c_9408,plain,
    ( ~ ssItem(sk6)
    | ssItem(sk5(sk6))
    | memberP(sk1,sk6) ),
    inference(superposition,[status(thm)],[c_9361,c_1941]) ).

cnf(c_9409,plain,
    ( ssItem(sk5(sk6))
    | memberP(sk1,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9408,c_6649]) ).

cnf(c_9434,plain,
    ( ~ memberP(sk2,sk5(sk6))
    | ~ ssItem(sk5(sk6))
    | ~ memberP(sk2,sk6)
    | ~ ssItem(sk6)
    | sk5(sk6) = sk6
    | memberP(sk1,sk6) ),
    inference(superposition,[status(thm)],[c_1966,c_6647]) ).

cnf(c_9435,plain,
    ( ~ memberP(sk2,sk5(sk6))
    | ~ ssItem(sk5(sk6))
    | sk5(sk6) = sk6
    | memberP(sk1,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9434,c_6649,c_9361]) ).

cnf(c_9464,plain,
    ( ~ memberP(sk2,sk5(sk6))
    | sk5(sk6) = sk6
    | memberP(sk1,sk6) ),
    inference(global_subsumption_just,[status(thm)],[c_9435,c_9409,c_9435]) ).

cnf(c_9472,plain,
    ( ~ memberP(sk2,sk6)
    | ~ ssItem(sk6)
    | sk5(sk6) = sk6
    | memberP(sk1,sk6) ),
    inference(superposition,[status(thm)],[c_1975,c_9464]) ).

cnf(c_9473,plain,
    ( sk5(sk6) = sk6
    | memberP(sk1,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9472,c_6649,c_9361]) ).

cnf(c_9482,plain,
    ( sk5(sk6) = sk6
    | memberP(sk2,sk7) ),
    inference(superposition,[status(thm)],[c_9473,c_9364]) ).

cnf(c_9483,plain,
    ( sk5(sk6) = sk6
    | leq(sk7,sk6) ),
    inference(superposition,[status(thm)],[c_9473,c_9363]) ).

cnf(c_9484,plain,
    ( sk5(sk6) = sk6
    | ssItem(sk7) ),
    inference(superposition,[status(thm)],[c_9473,c_9365]) ).

cnf(c_9550,plain,
    ( ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | ssItem(sk5(sk7))
    | memberP(sk1,sk7) ),
    inference(superposition,[status(thm)],[c_9482,c_1941]) ).

cnf(c_9559,plain,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk7)
    | ~ ssItem(sk6)
    | ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | sk6 = sk7 ),
    inference(superposition,[status(thm)],[c_9483,c_2467]) ).

cnf(c_9560,plain,
    ( ~ memberP(sk2,sk7)
    | ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | sk6 = sk7
    | memberP(sk1,sk6) ),
    inference(superposition,[status(thm)],[c_9483,c_6647]) ).

cnf(c_9566,plain,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk7)
    | ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | sk6 = sk7 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9559,c_6649]) ).

cnf(c_9572,plain,
    ( ~ memberP(sk2,sk7)
    | ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | sk6 = sk7 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_9560,c_9566]) ).

cnf(c_9600,plain,
    sk5(sk6) = sk6,
    inference(global_subsumption_just,[status(thm)],[c_9550,c_67,c_9361,c_9473,c_9484,c_9482,c_9572]) ).

cnf(c_9604,plain,
    ( ~ memberP(sk2,sk6)
    | ~ ssItem(sk6)
    | memberP(sk1,sk6) ),
    inference(superposition,[status(thm)],[c_9600,c_2002]) ).

cnf(c_9607,plain,
    memberP(sk1,sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_9604,c_6649,c_9361]) ).

cnf(c_9608,plain,
    ssItem(sk7),
    inference(backward_subsumption_resolution,[status(thm)],[c_9365,c_9607]) ).

cnf(c_9609,plain,
    memberP(sk2,sk7),
    inference(backward_subsumption_resolution,[status(thm)],[c_9364,c_9607]) ).

cnf(c_9610,plain,
    leq(sk7,sk6),
    inference(backward_subsumption_resolution,[status(thm)],[c_9363,c_9607]) ).

cnf(c_9617,plain,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk7)
    | ~ ssItem(sk6)
    | ~ ssItem(sk7)
    | sk6 = sk7 ),
    inference(superposition,[status(thm)],[c_9610,c_2467]) ).

cnf(c_9618,plain,
    sk6 = sk7,
    inference(forward_subsumption_resolution,[status(thm)],[c_9617,c_9608,c_6649,c_9609,c_9607]) ).

cnf(c_9622,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9618,c_9607,c_9361,c_67]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC379-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 23:33:46 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 4.03/1.15  % SZS status Started for theBenchmark.p
% 4.03/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.15  
% 4.03/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.03/1.15  
% 4.03/1.15  ------  iProver source info
% 4.03/1.15  
% 4.03/1.15  git: date: 2024-05-02 19:28:25 +0000
% 4.03/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.03/1.15  git: non_committed_changes: false
% 4.03/1.15  
% 4.03/1.15  ------ Parsing...successful
% 4.03/1.15  
% 4.03/1.15  
% 4.03/1.15  
% 4.03/1.15  ------ Preprocessing... sup_sim: 10  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 
% 4.03/1.15  
% 4.03/1.15  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.03/1.15  
% 4.03/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.03/1.15  ------ Proving...
% 4.03/1.15  ------ Problem Properties 
% 4.03/1.15  
% 4.03/1.15  
% 4.03/1.15  clauses                                 194
% 4.03/1.15  conjectures                             11
% 4.03/1.15  EPR                                     65
% 4.03/1.15  Horn                                    161
% 4.03/1.15  unary                                   63
% 4.03/1.15  binary                                  22
% 4.03/1.15  lits                                    590
% 4.03/1.15  lits eq                                 75
% 4.03/1.15  fd_pure                                 0
% 4.03/1.15  fd_pseudo                               0
% 4.03/1.15  fd_cond                                 16
% 4.03/1.15  fd_pseudo_cond                          15
% 4.03/1.15  AC symbols                              0
% 4.03/1.15  
% 4.03/1.15  ------ Schedule dynamic 5 is on 
% 4.03/1.15  
% 4.03/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.03/1.15  
% 4.03/1.15  
% 4.03/1.15  ------ 
% 4.03/1.15  Current options:
% 4.03/1.15  ------ 
% 4.03/1.15  
% 4.03/1.15  
% 4.03/1.15  
% 4.03/1.15  
% 4.03/1.15  ------ Proving...
% 4.03/1.15  
% 4.03/1.15  
% 4.03/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 4.03/1.15  
% 4.03/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.15  
% 4.03/1.15  
%------------------------------------------------------------------------------