TSTP Solution File: SWC003-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 20:40:13 EDT 2023

% Result   : Unsatisfiable 3.70s 1.17s
% Output   : CNFRefutation 3.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   41 (  14 unt;   1 nHn;  41 RR)
%            Number of literals    :  120 (  37 equ;  83 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   36 (   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,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(c_57,negated_conjecture,
    ( app(app(X0,X1),X2) != sk2
    | app(X0,X2) != sk1
    | ~ neq(X1,nil)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_64,negated_conjecture,
    ( app(app(X0,X1),X2) != sk2
    | app(X0,X2) != sk1
    | ~ neq(X1,nil)
    | ~ neq(sk4,nil)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(c_67,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).

cnf(c_68,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(app(sk6,cons(sk5,nil)),sk7) = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).

cnf(c_69,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk6,sk7) = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).

cnf(c_78,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_141,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(c_156,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | ssList(cons(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(c_170,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_208,plain,
    ( X0 != X1
    | ~ ssList(X2)
    | ~ ssItem(X0)
    | ~ ssItem(X1)
    | memberP(cons(X1,X2),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).

cnf(c_267,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | memberP(cons(X1,X0),X1) ),
    inference(unflattening,[status(thm)],[c_208]) ).

cnf(c_417,negated_conjecture,
    neq(sk2,nil),
    inference(global_subsumption_just,[status(thm)],[c_57,c_55]) ).

cnf(c_1611,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk7) ),
    inference(light_normalisation,[status(thm)],[c_67,c_53]) ).

cnf(c_1612,plain,
    ssList(sk7),
    inference(forward_subsumption_resolution,[status(thm)],[c_1611,c_417]) ).

cnf(c_1613,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk6) ),
    inference(light_normalisation,[status(thm)],[c_66,c_53]) ).

cnf(c_1614,plain,
    ssList(sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_1613,c_417]) ).

cnf(c_1615,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(light_normalisation,[status(thm)],[c_65,c_53]) ).

cnf(c_1616,plain,
    ssItem(sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1615,c_417]) ).

cnf(c_1711,plain,
    ( ~ neq(sk2,nil)
    | app(sk6,sk7) = sk1 ),
    inference(light_normalisation,[status(thm)],[c_69,c_53,c_54]) ).

cnf(c_1712,plain,
    app(sk6,sk7) = sk1,
    inference(forward_subsumption_resolution,[status(thm)],[c_1711,c_417]) ).

cnf(c_1899,plain,
    ( ~ neq(sk2,nil)
    | app(app(sk6,cons(sk5,nil)),sk7) = sk2 ),
    inference(light_normalisation,[status(thm)],[c_68,c_53]) ).

cnf(c_1900,plain,
    app(app(sk6,cons(sk5,nil)),sk7) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_1899,c_417]) ).

cnf(c_2469,plain,
    ( app(app(X0,X1),X2) != sk2
    | app(X0,X2) != sk1
    | ~ neq(X1,nil)
    | ~ neq(sk2,nil)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(light_normalisation,[status(thm)],[c_64,c_53]) ).

cnf(c_2470,plain,
    ( app(app(X0,X1),X2) != sk2
    | app(X0,X2) != sk1
    | ~ neq(X1,nil)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2469,c_417]) ).

cnf(c_2939,plain,
    ( app(app(X0,X1),X2) != sk2
    | app(X0,X2) != sk1
    | X1 != X3
    | X4 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | X3 = X4 ),
    inference(resolution_lifted,[status(thm)],[c_2470,c_170]) ).

cnf(c_2940,plain,
    ( app(app(X0,X1),X2) != sk2
    | app(X0,X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(nil)
    | X1 = nil ),
    inference(unflattening,[status(thm)],[c_2939]) ).

cnf(c_2942,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssList(X0)
    | app(X0,X2) != sk1
    | app(app(X0,X1),X2) != sk2
    | X1 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_2940,c_78,c_2940]) ).

cnf(c_2943,plain,
    ( app(app(X0,X1),X2) != sk2
    | app(X0,X2) != sk1
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X1 = nil ),
    inference(renaming,[status(thm)],[c_2942]) ).

cnf(c_9126,plain,
    ( app(sk6,sk7) != sk1
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | cons(sk5,nil) = nil ),
    inference(superposition,[status(thm)],[c_1900,c_2943]) ).

cnf(c_9130,plain,
    ( ~ ssList(cons(sk5,nil))
    | cons(sk5,nil) = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9126,c_1612,c_1614,c_1712]) ).

cnf(c_9550,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | cons(sk5,nil) = nil ),
    inference(superposition,[status(thm)],[c_156,c_9130]) ).

cnf(c_9551,plain,
    cons(sk5,nil) = nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_9550,c_1616,c_78]) ).

cnf(c_9623,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | memberP(nil,sk5) ),
    inference(superposition,[status(thm)],[c_9551,c_267]) ).

cnf(c_9625,plain,
    memberP(nil,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_9623,c_1616,c_78]) ).

cnf(c_9632,plain,
    ~ ssItem(sk5),
    inference(superposition,[status(thm)],[c_9625,c_141]) ).

cnf(c_9633,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9632,c_1616]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 14:21:04 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.70/1.17  % SZS status Started for theBenchmark.p
% 3.70/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.70/1.17  
% 3.70/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.70/1.17  
% 3.70/1.17  ------  iProver source info
% 3.70/1.17  
% 3.70/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.70/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.70/1.17  git: non_committed_changes: false
% 3.70/1.17  git: last_make_outside_of_git: false
% 3.70/1.17  
% 3.70/1.17  ------ Parsing...successful
% 3.70/1.17  
% 3.70/1.17  
% 3.70/1.17  
% 3.70/1.17  ------ Preprocessing... sup_sim: 11  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 
% 3.70/1.17  
% 3.70/1.17  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.70/1.17  
% 3.70/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.70/1.17  ------ Proving...
% 3.70/1.17  ------ Problem Properties 
% 3.70/1.17  
% 3.70/1.17  
% 3.70/1.17  clauses                                 190
% 3.70/1.17  conjectures                             4
% 3.70/1.17  EPR                                     61
% 3.70/1.17  Horn                                    162
% 3.70/1.17  unary                                   68
% 3.70/1.17  binary                                  21
% 3.70/1.17  lits                                    565
% 3.70/1.17  lits eq                                 80
% 3.70/1.17  fd_pure                                 0
% 3.70/1.17  fd_pseudo                               0
% 3.70/1.17  fd_cond                                 17
% 3.70/1.17  fd_pseudo_cond                          14
% 3.70/1.17  AC symbols                              0
% 3.70/1.17  
% 3.70/1.17  ------ Schedule dynamic 5 is on 
% 3.70/1.17  
% 3.70/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.70/1.17  
% 3.70/1.17  
% 3.70/1.17  ------ 
% 3.70/1.17  Current options:
% 3.70/1.17  ------ 
% 3.70/1.17  
% 3.70/1.17  
% 3.70/1.17  
% 3.70/1.17  
% 3.70/1.17  ------ Proving...
% 3.70/1.17  
% 3.70/1.17  
% 3.70/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.70/1.17  
% 3.70/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.70/1.17  
% 3.70/1.17  
%------------------------------------------------------------------------------