TSTP Solution File: SWC080-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC080-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 03:11:08 EDT 2024

% Result   : Unsatisfiable 7.27s 1.68s
% Output   : CNFRefutation 7.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   49 (  20 unt;   0 nHn;  48 RR)
%            Number of literals    :  115 (  12 equ;  74 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (   2 sgn)

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

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

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,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_57,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_62,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ neq(sk4,nil)
    | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(c_63,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

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

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

cnf(c_66,negated_conjecture,
    ( ~ neq(sk4,nil)
    | frontsegP(sk3,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

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

cnf(c_117,plain,
    ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(c_140,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_198,plain,
    ( ~ frontsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(c_239,plain,
    ( app(app(X0,X1),X2) != X3
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(c_266,plain,
    ( ~ ssList(app(app(X0,X1),X2))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | segmentP(app(app(X0,X1),X2),X1) ),
    inference(unflattening,[status(thm)],[c_239]) ).

cnf(c_406,negated_conjecture,
    neq(sk2,nil),
    inference(global_subsumption_just,[status(thm)],[c_57,c_55]) ).

cnf(c_1584,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk5) ),
    inference(light_normalisation,[status(thm)],[c_63,c_53]) ).

cnf(c_1585,plain,
    ssList(sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1584,c_406]) ).

cnf(c_1636,plain,
    ( ~ neq(sk2,nil)
    | frontsegP(sk1,sk5) ),
    inference(light_normalisation,[status(thm)],[c_66,c_53,c_54]) ).

cnf(c_1637,plain,
    frontsegP(sk1,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1636,c_406]) ).

cnf(c_1638,plain,
    ( ~ neq(sk2,nil)
    | frontsegP(sk2,sk5) ),
    inference(light_normalisation,[status(thm)],[c_65,c_53]) ).

cnf(c_1639,plain,
    frontsegP(sk2,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1638,c_406]) ).

cnf(c_1640,plain,
    ( ~ neq(sk2,nil)
    | neq(sk5,nil) ),
    inference(light_normalisation,[status(thm)],[c_64,c_53]) ).

cnf(c_1641,plain,
    neq(sk5,nil),
    inference(forward_subsumption_resolution,[status(thm)],[c_1640,c_406]) ).

cnf(c_2086,plain,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ neq(sk2,nil)
    | ~ ssList(X0) ),
    inference(light_normalisation,[status(thm)],[c_62,c_53]) ).

cnf(c_2087,plain,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2086,c_406]) ).

cnf(c_2859,plain,
    ( X0 != sk5
    | nil != nil
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_2087,c_1641]) ).

cnf(c_2860,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | ~ ssList(sk5) ),
    inference(unflattening,[status(thm)],[c_2859]) ).

cnf(c_2861,plain,
    ( ~ segmentP(sk2,sk5)
    | ~ segmentP(sk1,sk5) ),
    inference(global_subsumption_just,[status(thm)],[c_2860,c_1585,c_2860]) ).

cnf(c_2862,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5) ),
    inference(renaming,[status(thm)],[c_2861]) ).

cnf(c_6457,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_6458,negated_conjecture,
    ssList(sk1),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_9189,plain,
    app(nil,sk5) = sk5,
    inference(superposition,[status(thm)],[c_1585,c_140]) ).

cnf(c_9381,plain,
    ( ~ ssList(app(app(nil,sk5),X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | segmentP(app(sk5,X0),sk5) ),
    inference(superposition,[status(thm)],[c_9189,c_266]) ).

cnf(c_9383,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | segmentP(app(sk5,X0),sk5) ),
    inference(light_normalisation,[status(thm)],[c_9381,c_9189]) ).

cnf(c_9384,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | segmentP(app(sk5,X0),sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9383,c_1585,c_74]) ).

cnf(c_12605,plain,
    ( ~ ssList(sk1)
    | ~ ssList(sk5)
    | app(sk5,skaf45(sk1,sk5)) = sk1 ),
    inference(superposition,[status(thm)],[c_1637,c_198]) ).

cnf(c_12606,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk5)
    | app(sk5,skaf45(sk2,sk5)) = sk2 ),
    inference(superposition,[status(thm)],[c_1639,c_198]) ).

cnf(c_12632,plain,
    app(sk5,skaf45(sk2,sk5)) = sk2,
    inference(forward_subsumption_resolution,[status(thm)],[c_12606,c_1585,c_6457]) ).

cnf(c_12633,plain,
    app(sk5,skaf45(sk1,sk5)) = sk1,
    inference(forward_subsumption_resolution,[status(thm)],[c_12605,c_1585,c_6458]) ).

cnf(c_13201,plain,
    ( ~ ssList(app(sk5,skaf45(sk2,sk5)))
    | ~ ssList(skaf45(sk2,sk5))
    | segmentP(sk2,sk5) ),
    inference(superposition,[status(thm)],[c_12632,c_9384]) ).

cnf(c_13203,plain,
    ( ~ ssList(skaf45(sk2,sk5))
    | ~ ssList(sk2)
    | segmentP(sk2,sk5) ),
    inference(light_normalisation,[status(thm)],[c_13201,c_12632]) ).

cnf(c_13204,plain,
    segmentP(sk2,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_13203,c_6457,c_117]) ).

cnf(c_13222,plain,
    ~ segmentP(sk1,sk5),
    inference(backward_subsumption_resolution,[status(thm)],[c_2862,c_13204]) ).

cnf(c_13636,plain,
    ( ~ ssList(app(sk5,skaf45(sk1,sk5)))
    | ~ ssList(skaf45(sk1,sk5))
    | segmentP(sk1,sk5) ),
    inference(superposition,[status(thm)],[c_12633,c_9384]) ).

cnf(c_13638,plain,
    ( ~ ssList(skaf45(sk1,sk5))
    | ~ ssList(sk1)
    | segmentP(sk1,sk5) ),
    inference(light_normalisation,[status(thm)],[c_13636,c_12633]) ).

cnf(c_13639,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_13638,c_13222,c_6458,c_117]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC080-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n025.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 23:49:13 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 7.27/1.68  % SZS status Started for theBenchmark.p
% 7.27/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.27/1.68  
% 7.27/1.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.27/1.68  
% 7.27/1.68  ------  iProver source info
% 7.27/1.68  
% 7.27/1.68  git: date: 2024-05-02 19:28:25 +0000
% 7.27/1.68  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.27/1.68  git: non_committed_changes: false
% 7.27/1.68  
% 7.27/1.68  ------ Parsing...successful
% 7.27/1.68  
% 7.27/1.68  
% 7.27/1.68  
% 7.27/1.68  ------ 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 
% 7.27/1.68  
% 7.27/1.68  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.27/1.68  
% 7.27/1.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.27/1.68  ------ Proving...
% 7.27/1.68  ------ Problem Properties 
% 7.27/1.68  
% 7.27/1.68  
% 7.27/1.68  clauses                                 189
% 7.27/1.68  conjectures                             4
% 7.27/1.68  EPR                                     64
% 7.27/1.68  Horn                                    161
% 7.27/1.68  unary                                   67
% 7.27/1.68  binary                                  23
% 7.27/1.68  lits                                    558
% 7.27/1.68  lits eq                                 74
% 7.27/1.68  fd_pure                                 0
% 7.27/1.68  fd_pseudo                               0
% 7.27/1.68  fd_cond                                 16
% 7.27/1.68  fd_pseudo_cond                          14
% 7.27/1.68  AC symbols                              0
% 7.27/1.68  
% 7.27/1.68  ------ Schedule dynamic 5 is on 
% 7.27/1.68  
% 7.27/1.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.27/1.68  
% 7.27/1.68  
% 7.27/1.68  ------ 
% 7.27/1.68  Current options:
% 7.27/1.68  ------ 
% 7.27/1.68  
% 7.27/1.68  
% 7.27/1.68  
% 7.27/1.68  
% 7.27/1.68  ------ Proving...
% 7.27/1.68  
% 7.27/1.68  
% 7.27/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 7.27/1.68  
% 7.27/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.27/1.68  
% 7.70/1.68  
%------------------------------------------------------------------------------