TSTP Solution File: SWC416-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC416-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 20:43:15 EDT 2023

% Result   : Unsatisfiable 0.51s 1.19s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   42 (  15 unt;   1 nHn;  42 RR)
%            Number of literals    :  126 (  40 equ;  97 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(c_50,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

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(X0,sk1) != X1
    | cons(X2,nil) != X0
    | hd(sk2) != X2
    | X1 != sk2
    | ~ neq(nil,sk2)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(c_60,negated_conjecture,
    ( app(X0,sk1) != X1
    | cons(X2,nil) != X0
    | hd(sk2) != X2
    | X1 != sk2
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk2)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(c_61,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(c_62,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(cons(sk5,nil),sk3) = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(c_70,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_148,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | ssList(cons(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(c_159,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | hd(cons(X1,X0)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).

cnf(c_162,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_177,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_182,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | app(cons(X1,nil),X0) = cons(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).

cnf(c_253,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_177]) ).

cnf(c_270,negated_conjecture,
    ( app(cons(hd(sk2),nil),sk1) != sk2
    | ~ ssList(app(cons(hd(sk2),nil),sk1))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2))
    | neq(sk2,nil) ),
    inference(unflattening,[status(thm)],[c_57]) ).

cnf(c_271,negated_conjecture,
    ( app(cons(hd(sk2),nil),sk1) != sk2
    | ~ ssList(app(cons(hd(sk2),nil),sk1))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2)) ),
    inference(unflattening,[status(thm)],[c_60]) ).

cnf(c_402,negated_conjecture,
    neq(sk2,nil),
    inference(global_subsumption_just,[status(thm)],[c_270,c_55]) ).

cnf(c_1572,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(light_normalisation,[status(thm)],[c_61,c_53]) ).

cnf(c_1573,plain,
    ssItem(sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1572,c_402]) ).

cnf(c_1752,plain,
    ( ~ neq(sk2,nil)
    | app(cons(sk5,nil),sk1) = sk2 ),
    inference(light_normalisation,[status(thm)],[c_62,c_53,c_54]) ).

cnf(c_1753,plain,
    app(cons(sk5,nil),sk1) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_1752,c_402]) ).

cnf(c_2440,plain,
    ( app(cons(hd(sk2),nil),sk1) != sk2
    | ~ ssList(app(cons(hd(sk2),nil),sk1))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ neq(sk2,nil)
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2)) ),
    inference(light_normalisation,[status(thm)],[c_271,c_53]) ).

cnf(c_2441,plain,
    ( app(cons(hd(sk2),nil),sk1) != sk2
    | ~ ssList(app(cons(hd(sk2),nil),sk1))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ neq(nil,sk2)
    | ~ ssItem(hd(sk2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2440,c_402]) ).

cnf(c_2842,plain,
    ( X0 != sk2
    | X0 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_402,c_253]) ).

cnf(c_2843,plain,
    ( sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_2842]) ).

cnf(c_2873,plain,
    ( app(cons(hd(sk2),nil),sk1) != sk2
    | X0 != sk2
    | X1 != nil
    | ~ ssList(app(cons(hd(sk2),nil),sk1))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ ssItem(hd(sk2))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_2441,c_162]) ).

cnf(c_2874,plain,
    ( app(cons(hd(sk2),nil),sk1) != sk2
    | ~ ssList(app(cons(hd(sk2),nil),sk1))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ ssItem(hd(sk2))
    | ~ ssList(sk2)
    | ~ ssList(nil)
    | sk2 = nil ),
    inference(unflattening,[status(thm)],[c_2873]) ).

cnf(c_2875,plain,
    ( ~ ssItem(hd(sk2))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ ssList(app(cons(hd(sk2),nil),sk1))
    | app(cons(hd(sk2),nil),sk1) != sk2 ),
    inference(global_subsumption_just,[status(thm)],[c_2874,c_50,c_70,c_2843,c_2874]) ).

cnf(c_2876,plain,
    ( app(cons(hd(sk2),nil),sk1) != sk2
    | ~ ssList(app(cons(hd(sk2),nil),sk1))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ ssItem(hd(sk2)) ),
    inference(renaming,[status(thm)],[c_2875]) ).

cnf(c_9942,plain,
    ( ~ ssItem(X0)
    | hd(cons(X0,sk1)) = X0 ),
    inference(superposition,[status(thm)],[c_49,c_159]) ).

cnf(c_10289,plain,
    hd(cons(sk5,sk1)) = sk5,
    inference(superposition,[status(thm)],[c_1573,c_9942]) ).

cnf(c_10876,plain,
    ( ~ ssItem(X0)
    | app(cons(X0,nil),sk1) = cons(X0,sk1) ),
    inference(superposition,[status(thm)],[c_49,c_182]) ).

cnf(c_11119,plain,
    app(cons(sk5,nil),sk1) = cons(sk5,sk1),
    inference(superposition,[status(thm)],[c_1573,c_10876]) ).

cnf(c_11139,plain,
    cons(sk5,sk1) = sk2,
    inference(light_normalisation,[status(thm)],[c_11119,c_1753]) ).

cnf(c_11145,plain,
    hd(sk2) = sk5,
    inference(demodulation,[status(thm)],[c_10289,c_11139]) ).

cnf(c_11147,plain,
    ( app(cons(sk5,nil),sk1) != sk2
    | ~ ssList(app(cons(sk5,nil),sk1))
    | ~ ssList(cons(sk5,nil))
    | ~ ssItem(sk5) ),
    inference(demodulation,[status(thm)],[c_2876,c_11145]) ).

cnf(c_11148,plain,
    ( app(cons(sk5,nil),sk1) != sk2
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk2)
    | ~ ssItem(sk5) ),
    inference(light_normalisation,[status(thm)],[c_11147,c_1753]) ).

cnf(c_11149,plain,
    ~ ssList(cons(sk5,nil)),
    inference(forward_subsumption_resolution,[status(thm)],[c_11148,c_1573,c_50,c_1753]) ).

cnf(c_11168,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[status(thm)],[c_148,c_11149]) ).

cnf(c_11169,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11168,c_1573,c_70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC416-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 15:31:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.51/1.19  % SZS status Started for theBenchmark.p
% 0.51/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.19  
% 0.51/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.51/1.19  
% 0.51/1.19  ------  iProver source info
% 0.51/1.19  
% 0.51/1.19  git: date: 2023-05-31 18:12:56 +0000
% 0.51/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.51/1.19  git: non_committed_changes: false
% 0.51/1.19  git: last_make_outside_of_git: false
% 0.51/1.19  
% 0.51/1.19  ------ Parsing...successful
% 0.51/1.19  
% 0.51/1.19  
% 0.51/1.19  
% 0.51/1.19  ------ Preprocessing... sup_sim: 7  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 
% 0.51/1.19  
% 0.51/1.19  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.51/1.19  
% 0.51/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.51/1.19  ------ Proving...
% 0.51/1.19  ------ Problem Properties 
% 0.51/1.19  
% 0.51/1.19  
% 0.51/1.19  clauses                                 185
% 0.51/1.19  conjectures                             4
% 0.51/1.19  EPR                                     58
% 0.51/1.19  Horn                                    157
% 0.51/1.19  unary                                   65
% 0.51/1.19  binary                                  21
% 0.51/1.19  lits                                    552
% 0.51/1.19  lits eq                                 74
% 0.51/1.19  fd_pure                                 0
% 0.51/1.19  fd_pseudo                               0
% 0.51/1.19  fd_cond                                 15
% 0.51/1.19  fd_pseudo_cond                          14
% 0.51/1.19  AC symbols                              0
% 0.51/1.19  
% 0.51/1.19  ------ Schedule dynamic 5 is on 
% 0.51/1.19  
% 0.51/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.51/1.19  
% 0.51/1.19  
% 0.51/1.19  ------ 
% 0.51/1.19  Current options:
% 0.51/1.19  ------ 
% 0.51/1.19  
% 0.51/1.19  
% 0.51/1.19  
% 0.51/1.19  
% 0.51/1.19  ------ Proving...
% 0.51/1.19  
% 0.51/1.19  
% 0.51/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.19  
% 0.51/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.51/1.19  
% 0.51/1.19  
%------------------------------------------------------------------------------