TSTP Solution File: SWC106-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC106-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 20:41:02 EDT 2023

% Result   : Unsatisfiable 3.15s 1.01s
% Output   : CNFRefutation 3.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   41 (  16 unt;   2 nHn;  41 RR)
%            Number of literals    :   89 (  19 equ;  51 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

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

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_60,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk4
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

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

cnf(c_63,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

cnf(c_64,negated_conjecture,
    ( ~ neq(sk4,nil)
    | cons(sk5,nil) = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(c_65,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk6,cons(sk5,nil)) = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

cnf(c_66,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ neq(sk4,nil)
    | ~ rearsegP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(c_74,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_137,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).

cnf(c_151,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(c_166,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_204,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_209,plain,
    ( app(X0,X1) != X2
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | rearsegP(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause143) ).

cnf(c_262,plain,
    ( ~ ssList(app(X0,X1))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | rearsegP(app(X0,X1),X1) ),
    inference(unflattening,[status(thm)],[c_209]) ).

cnf(c_263,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | memberP(cons(X1,X0),X1) ),
    inference(unflattening,[status(thm)],[c_204]) ).

cnf(c_396,negated_conjecture,
    neq(sk2,nil),
    inference(global_subsumption_just,[status(thm)],[c_60,c_55]) ).

cnf(c_664,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | rearsegP(app(X0,X1),X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_262,c_151]) ).

cnf(c_1580,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk6) ),
    inference(light_normalisation,[status(thm)],[c_63,c_53]) ).

cnf(c_1581,plain,
    ssList(sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_1580,c_396]) ).

cnf(c_1582,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(light_normalisation,[status(thm)],[c_62,c_53]) ).

cnf(c_1583,plain,
    ssItem(sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1582,c_396]) ).

cnf(c_1678,plain,
    ( ~ neq(sk2,nil)
    | cons(sk5,nil) = sk1 ),
    inference(light_normalisation,[status(thm)],[c_64,c_53,c_54]) ).

cnf(c_1679,plain,
    cons(sk5,nil) = sk1,
    inference(forward_subsumption_resolution,[status(thm)],[c_1678,c_396]) ).

cnf(c_1764,plain,
    ( ~ neq(sk1,nil)
    | ~ neq(sk2,nil)
    | ~ rearsegP(sk2,sk1) ),
    inference(light_normalisation,[status(thm)],[c_66,c_53]) ).

cnf(c_1765,plain,
    ( ~ neq(sk1,nil)
    | ~ rearsegP(sk2,sk1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1764,c_396]) ).

cnf(c_1770,plain,
    ( ~ neq(sk2,nil)
    | app(sk6,sk1) = sk2 ),
    inference(light_normalisation,[status(thm)],[c_65,c_53,c_1679]) ).

cnf(c_1771,plain,
    app(sk6,sk1) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_1770,c_396]) ).

cnf(c_2738,plain,
    ( X0 != sk1
    | X1 != nil
    | ~ rearsegP(sk2,sk1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_1765,c_166]) ).

cnf(c_2739,plain,
    ( ~ rearsegP(sk2,sk1)
    | ~ ssList(sk1)
    | ~ ssList(nil)
    | sk1 = nil ),
    inference(unflattening,[status(thm)],[c_2738]) ).

cnf(c_2740,plain,
    ( ~ rearsegP(sk2,sk1)
    | sk1 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_2739,c_49,c_74,c_2739]) ).

cnf(c_8925,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk6)
    | rearsegP(sk2,sk1) ),
    inference(superposition,[status(thm)],[c_1771,c_664]) ).

cnf(c_8926,plain,
    rearsegP(sk2,sk1),
    inference(forward_subsumption_resolution,[status(thm)],[c_8925,c_1581,c_49]) ).

cnf(c_8927,plain,
    sk1 = nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_2740,c_8926]) ).

cnf(c_8930,plain,
    cons(sk5,nil) = nil,
    inference(demodulation,[status(thm)],[c_1679,c_8927]) ).

cnf(c_9564,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | memberP(nil,sk5) ),
    inference(superposition,[status(thm)],[c_8930,c_263]) ).

cnf(c_9565,plain,
    memberP(nil,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_9564,c_1583,c_74]) ).

cnf(c_9607,plain,
    ~ ssItem(sk5),
    inference(superposition,[status(thm)],[c_9565,c_137]) ).

cnf(c_9608,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9607,c_1583]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWC106-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.08/0.29  % Computer : n032.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Mon Aug 28 15:04:16 EDT 2023
% 0.08/0.29  % CPUTime  : 
% 0.13/0.37  Running first-order theorem proving
% 0.13/0.37  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.15/1.01  % SZS status Started for theBenchmark.p
% 3.15/1.01  % SZS status Unsatisfiable for theBenchmark.p
% 3.15/1.01  
% 3.15/1.01  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.15/1.01  
% 3.15/1.01  ------  iProver source info
% 3.15/1.01  
% 3.15/1.01  git: date: 2023-05-31 18:12:56 +0000
% 3.15/1.01  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.15/1.01  git: non_committed_changes: false
% 3.15/1.01  git: last_make_outside_of_git: false
% 3.15/1.01  
% 3.15/1.01  ------ Parsing...successful
% 3.15/1.01  
% 3.15/1.01  
% 3.15/1.01  
% 3.15/1.01  ------ Preprocessing... sup_sim: 9  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 
% 3.15/1.01  
% 3.15/1.01  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.15/1.01  
% 3.15/1.01  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.15/1.01  ------ Proving...
% 3.15/1.01  ------ Problem Properties 
% 3.15/1.01  
% 3.15/1.01  
% 3.15/1.01  clauses                                 188
% 3.15/1.01  conjectures                             4
% 3.15/1.01  EPR                                     61
% 3.15/1.01  Horn                                    160
% 3.15/1.01  unary                                   67
% 3.15/1.01  binary                                  23
% 3.15/1.01  lits                                    554
% 3.15/1.01  lits eq                                 76
% 3.15/1.02  fd_pure                                 0
% 3.15/1.02  fd_pseudo                               0
% 3.15/1.02  fd_cond                                 15
% 3.15/1.02  fd_pseudo_cond                          14
% 3.15/1.02  AC symbols                              0
% 3.15/1.02  
% 3.15/1.02  ------ Schedule dynamic 5 is on 
% 3.15/1.02  
% 3.15/1.02  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.15/1.02  
% 3.15/1.02  
% 3.15/1.02  ------ 
% 3.15/1.02  Current options:
% 3.15/1.02  ------ 
% 3.15/1.02  
% 3.15/1.02  
% 3.15/1.02  
% 3.15/1.02  
% 3.15/1.02  ------ Proving...
% 3.15/1.02  
% 3.15/1.02  
% 3.15/1.02  % SZS status Unsatisfiable for theBenchmark.p
% 3.15/1.02  
% 3.15/1.02  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.15/1.02  
% 3.15/1.02  
%------------------------------------------------------------------------------