TSTP Solution File: SWC379-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC379-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 : Thu Aug 31 20:42:59 EDT 2023

% Result   : Unsatisfiable 0.43s 1.15s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   50 (  11 unt;  23 nHn;  50 RR)
%            Number of literals    :  150 (  28 equ;  76 neg)
%            Maximal clause size   :    6 (   3 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   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(c_54,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(c_55,negated_conjecture,
    ( ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | ssItem(sk5(X0))
    | memberP(sk3,X0) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ( sk5(X0) != X0
    | ~ memberP(sk4,X0)
    | ~ ssItem(X0)
    | memberP(sk3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    ( ~ memberP(sk3,X0)
    | ~ ssItem(X0)
    | memberP(sk4,X0) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( memberP(sk1,sk6)
    | memberP(sk2,sk6) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6)
    | ssItem(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6)
    | memberP(sk2,sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6)
    | leq(sk7,sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(c_67,negated_conjecture,
    ( sk6 != sk7
    | ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk6) ),
    file('/export/starexec/sandbox2/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_9349,plain,
    ( ~ ssItem(sk6)
    | memberP(sk2,sk6) ),
    inference(superposition,[status(thm)],[c_62,c_1746]) ).

cnf(c_9350,plain,
    memberP(sk2,sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_9349,c_61]) ).

cnf(c_9352,plain,
    ( ~ memberP(sk1,sk6)
    | leq(sk7,sk6) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_66,c_9350]) ).

cnf(c_9353,plain,
    ( ~ memberP(sk1,sk6)
    | memberP(sk2,sk7) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_65,c_9350]) ).

cnf(c_9354,plain,
    ( ~ memberP(sk1,sk6)
    | ssItem(sk7) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_64,c_9350]) ).

cnf(c_9397,plain,
    ( ~ ssItem(sk6)
    | ssItem(sk5(sk6))
    | memberP(sk1,sk6) ),
    inference(superposition,[status(thm)],[c_9350,c_1941]) ).

cnf(c_9398,plain,
    ( ssItem(sk5(sk6))
    | memberP(sk1,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9397,c_61]) ).

cnf(c_9423,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_63]) ).

cnf(c_9424,plain,
    ( ~ memberP(sk2,sk5(sk6))
    | ~ ssItem(sk5(sk6))
    | sk5(sk6) = sk6
    | memberP(sk1,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9423,c_61,c_9350]) ).

cnf(c_9453,plain,
    ( ~ memberP(sk2,sk5(sk6))
    | sk5(sk6) = sk6
    | memberP(sk1,sk6) ),
    inference(global_subsumption_just,[status(thm)],[c_9424,c_9398,c_9424]) ).

cnf(c_9461,plain,
    ( ~ memberP(sk2,sk6)
    | ~ ssItem(sk6)
    | sk5(sk6) = sk6
    | memberP(sk1,sk6) ),
    inference(superposition,[status(thm)],[c_1975,c_9453]) ).

cnf(c_9462,plain,
    ( sk5(sk6) = sk6
    | memberP(sk1,sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9461,c_61,c_9350]) ).

cnf(c_9471,plain,
    ( sk5(sk6) = sk6
    | memberP(sk2,sk7) ),
    inference(superposition,[status(thm)],[c_9462,c_9353]) ).

cnf(c_9472,plain,
    ( sk5(sk6) = sk6
    | leq(sk7,sk6) ),
    inference(superposition,[status(thm)],[c_9462,c_9352]) ).

cnf(c_9473,plain,
    ( sk5(sk6) = sk6
    | ssItem(sk7) ),
    inference(superposition,[status(thm)],[c_9462,c_9354]) ).

cnf(c_9539,plain,
    ( ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | ssItem(sk5(sk7))
    | memberP(sk1,sk7) ),
    inference(superposition,[status(thm)],[c_9471,c_1941]) ).

cnf(c_9548,plain,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk7)
    | ~ ssItem(sk6)
    | ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | sk6 = sk7 ),
    inference(superposition,[status(thm)],[c_9472,c_2467]) ).

cnf(c_9549,plain,
    ( ~ memberP(sk2,sk7)
    | ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | sk6 = sk7
    | memberP(sk1,sk6) ),
    inference(superposition,[status(thm)],[c_9472,c_63]) ).

cnf(c_9555,plain,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk7)
    | ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | sk6 = sk7 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9548,c_61]) ).

cnf(c_9561,plain,
    ( ~ memberP(sk2,sk7)
    | ~ ssItem(sk7)
    | sk5(sk6) = sk6
    | sk6 = sk7 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_9549,c_9555]) ).

cnf(c_9589,plain,
    sk5(sk6) = sk6,
    inference(global_subsumption_just,[status(thm)],[c_9539,c_67,c_9350,c_9462,c_9473,c_9471,c_9561]) ).

cnf(c_9593,plain,
    ( ~ memberP(sk2,sk6)
    | ~ ssItem(sk6)
    | memberP(sk1,sk6) ),
    inference(superposition,[status(thm)],[c_9589,c_2002]) ).

cnf(c_9596,plain,
    memberP(sk1,sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_9593,c_61,c_9350]) ).

cnf(c_9597,plain,
    ssItem(sk7),
    inference(backward_subsumption_resolution,[status(thm)],[c_9354,c_9596]) ).

cnf(c_9598,plain,
    memberP(sk2,sk7),
    inference(backward_subsumption_resolution,[status(thm)],[c_9353,c_9596]) ).

cnf(c_9599,plain,
    leq(sk7,sk6),
    inference(backward_subsumption_resolution,[status(thm)],[c_9352,c_9596]) ).

cnf(c_9606,plain,
    ( ~ memberP(sk1,sk6)
    | ~ memberP(sk2,sk7)
    | ~ ssItem(sk6)
    | ~ ssItem(sk7)
    | sk6 = sk7 ),
    inference(superposition,[status(thm)],[c_9599,c_2467]) ).

cnf(c_9607,plain,
    sk6 = sk7,
    inference(forward_subsumption_resolution,[status(thm)],[c_9606,c_9597,c_61,c_9598,c_9596]) ).

cnf(c_9611,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9607,c_9596,c_9350,c_67]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC379-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 14:29:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.43/1.15  % SZS status Started for theBenchmark.p
% 0.43/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.15  
% 0.43/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.43/1.15  
% 0.43/1.15  ------  iProver source info
% 0.43/1.15  
% 0.43/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.43/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.43/1.15  git: non_committed_changes: false
% 0.43/1.15  git: last_make_outside_of_git: false
% 0.43/1.15  
% 0.43/1.15  ------ Parsing...successful
% 0.43/1.15  
% 0.43/1.15  
% 0.43/1.15  
% 0.43/1.15  ------ 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 
% 0.43/1.15  
% 0.43/1.15  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.43/1.15  
% 0.43/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.43/1.15  ------ Proving...
% 0.43/1.15  ------ Problem Properties 
% 0.43/1.15  
% 0.43/1.15  
% 0.43/1.15  clauses                                 194
% 0.43/1.15  conjectures                             11
% 0.43/1.15  EPR                                     65
% 0.43/1.15  Horn                                    161
% 0.43/1.15  unary                                   63
% 0.43/1.15  binary                                  22
% 0.43/1.15  lits                                    590
% 0.43/1.15  lits eq                                 75
% 0.43/1.15  fd_pure                                 0
% 0.43/1.15  fd_pseudo                               0
% 0.43/1.15  fd_cond                                 16
% 0.43/1.15  fd_pseudo_cond                          15
% 0.43/1.15  AC symbols                              0
% 0.43/1.15  
% 0.43/1.15  ------ Schedule dynamic 5 is on 
% 0.43/1.15  
% 0.43/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.43/1.15  
% 0.43/1.15  
% 0.43/1.15  ------ 
% 0.43/1.15  Current options:
% 0.43/1.15  ------ 
% 0.43/1.15  
% 0.43/1.15  
% 0.43/1.15  
% 0.43/1.15  
% 0.43/1.15  ------ Proving...
% 0.43/1.15  
% 0.43/1.15  
% 0.43/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.15  
% 0.43/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.15  
% 0.43/1.15  
%------------------------------------------------------------------------------