TSTP Solution File: SWC090-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC090-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 03:11:11 EDT 2024

% Result   : Unsatisfiable 4.17s 1.20s
% Output   : CNFRefutation 4.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   71 (  34 unt;   1 nHn;  71 RR)
%            Number of literals    :  167 (  42 equ; 101 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   34 (   0 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_56,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_58,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(c_59,negated_conjecture,
    app(sk5,sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(c_60,negated_conjecture,
    app(sk6,sk5) = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(c_68,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_117,plain,
    ( ~ ssList(X0)
    | segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).

cnf(c_133,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).

cnf(c_134,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_160,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(c_175,plain,
    ( X0 != X1
    | ~ neq(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(c_205,plain,
    ( X0 != nil
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X0,X1) = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).

cnf(c_233,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_251,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(unflattening,[status(thm)],[c_175]) ).

cnf(c_258,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(unflattening,[status(thm)],[c_205]) ).

cnf(c_260,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_233]) ).

cnf(c_325,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(instantiation,[status(thm)],[c_134]) ).

cnf(c_391,plain,
    app(nil,nil) = nil,
    inference(global_subsumption_just,[status(thm)],[c_258,c_68,c_325]) ).

cnf(c_1557,plain,
    app(sk6,sk5) = sk1,
    inference(light_normalisation,[status(thm)],[c_60,c_54]) ).

cnf(c_1558,plain,
    app(sk5,sk6) = sk2,
    inference(light_normalisation,[status(thm)],[c_59,c_53]) ).

cnf(c_2815,plain,
    ( X0 != sk2
    | X0 != nil
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_251]) ).

cnf(c_2816,plain,
    ( sk2 != nil
    | ~ ssList(sk2) ),
    inference(unflattening,[status(thm)],[c_2815]) ).

cnf(c_2817,plain,
    sk2 != nil,
    inference(global_subsumption_just,[status(thm)],[c_2816,c_50,c_2816]) ).

cnf(c_2845,plain,
    ( X0 != X1
    | X2 != nil
    | ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X1 = X2 ),
    inference(resolution_lifted,[status(thm)],[c_56,c_160]) ).

cnf(c_2846,plain,
    ( ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | X0 = nil ),
    inference(unflattening,[status(thm)],[c_2845]) ).

cnf(c_2848,plain,
    ( ~ ssList(X0)
    | ~ segmentP(sk2,X0)
    | ~ segmentP(sk1,X0)
    | X0 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_2846,c_68,c_2846]) ).

cnf(c_2849,plain,
    ( ~ segmentP(sk1,X0)
    | ~ segmentP(sk2,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    inference(renaming,[status(thm)],[c_2848]) ).

cnf(c_6390,negated_conjecture,
    ssList(sk6),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_6391,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_6394,negated_conjecture,
    ssList(sk2),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_6395,negated_conjecture,
    ssList(sk1),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_8944,plain,
    ( ~ ssList(app(app(sk5,sk6),X0))
    | ~ ssList(X0)
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | segmentP(app(sk2,X0),sk6) ),
    inference(superposition,[status(thm)],[c_1558,c_260]) ).

cnf(c_8945,plain,
    ( ~ ssList(app(app(sk6,sk5),X0))
    | ~ ssList(X0)
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | segmentP(app(sk1,X0),sk5) ),
    inference(superposition,[status(thm)],[c_1557,c_260]) ).

cnf(c_8952,plain,
    ( ~ ssList(app(sk1,X0))
    | ~ ssList(X0)
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | segmentP(app(sk1,X0),sk5) ),
    inference(light_normalisation,[status(thm)],[c_8945,c_1557]) ).

cnf(c_8953,plain,
    ( ~ ssList(app(sk1,X0))
    | ~ ssList(X0)
    | segmentP(app(sk1,X0),sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8952,c_6390,c_6391]) ).

cnf(c_8957,plain,
    ( ~ ssList(app(sk2,X0))
    | ~ ssList(X0)
    | ~ ssList(sk5)
    | ~ ssList(sk6)
    | segmentP(app(sk2,X0),sk6) ),
    inference(light_normalisation,[status(thm)],[c_8944,c_1558]) ).

cnf(c_8958,plain,
    ( ~ ssList(app(sk2,X0))
    | ~ ssList(X0)
    | segmentP(app(sk2,X0),sk6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8957,c_6390,c_6391]) ).

cnf(c_9001,plain,
    ( ~ segmentP(sk2,sk1)
    | ~ ssList(sk1)
    | sk1 = nil ),
    inference(superposition,[status(thm)],[c_117,c_2849]) ).

cnf(c_9002,plain,
    ( ~ segmentP(sk2,sk1)
    | sk1 = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9001,c_6395]) ).

cnf(c_9069,plain,
    app(sk1,nil) = sk1,
    inference(superposition,[status(thm)],[c_6395,c_133]) ).

cnf(c_9070,plain,
    app(sk2,nil) = sk2,
    inference(superposition,[status(thm)],[c_6394,c_133]) ).

cnf(c_9072,plain,
    app(sk6,nil) = sk6,
    inference(superposition,[status(thm)],[c_6390,c_133]) ).

cnf(c_9134,plain,
    app(nil,sk5) = sk5,
    inference(superposition,[status(thm)],[c_6391,c_134]) ).

cnf(c_9232,plain,
    ( ~ ssList(app(sk1,nil))
    | ~ ssList(nil)
    | segmentP(sk1,sk5) ),
    inference(superposition,[status(thm)],[c_9069,c_8953]) ).

cnf(c_9233,plain,
    ( ~ ssList(sk1)
    | ~ ssList(nil)
    | segmentP(sk1,sk5) ),
    inference(light_normalisation,[status(thm)],[c_9232,c_9069]) ).

cnf(c_9234,plain,
    segmentP(sk1,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_9233,c_68,c_6395]) ).

cnf(c_9241,plain,
    ( ~ segmentP(sk2,sk5)
    | ~ ssList(sk5)
    | nil = sk5 ),
    inference(superposition,[status(thm)],[c_9234,c_2849]) ).

cnf(c_9242,plain,
    ( ~ segmentP(sk2,sk5)
    | nil = sk5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9241,c_6391]) ).

cnf(c_9247,plain,
    ( ~ ssList(app(sk2,nil))
    | ~ ssList(nil)
    | segmentP(sk2,sk6) ),
    inference(superposition,[status(thm)],[c_9070,c_8958]) ).

cnf(c_9248,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil)
    | segmentP(sk2,sk6) ),
    inference(light_normalisation,[status(thm)],[c_9247,c_9070]) ).

cnf(c_9249,plain,
    segmentP(sk2,sk6),
    inference(forward_subsumption_resolution,[status(thm)],[c_9248,c_68,c_6394]) ).

cnf(c_9289,plain,
    ( ~ ssList(app(app(nil,sk5),X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | segmentP(app(sk5,X0),sk5) ),
    inference(superposition,[status(thm)],[c_9134,c_260]) ).

cnf(c_9290,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sk5)
    | segmentP(app(sk5,X0),sk5) ),
    inference(light_normalisation,[status(thm)],[c_9289,c_9134]) ).

cnf(c_9291,plain,
    ( ~ ssList(app(sk5,X0))
    | ~ ssList(X0)
    | segmentP(app(sk5,X0),sk5) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9290,c_6391,c_68]) ).

cnf(c_9588,plain,
    ( ~ ssList(app(sk5,sk6))
    | ~ ssList(sk6)
    | segmentP(sk2,sk5) ),
    inference(superposition,[status(thm)],[c_1558,c_9291]) ).

cnf(c_9592,plain,
    ( ~ ssList(sk2)
    | ~ ssList(sk6)
    | segmentP(sk2,sk5) ),
    inference(light_normalisation,[status(thm)],[c_9588,c_1558]) ).

cnf(c_9593,plain,
    segmentP(sk2,sk5),
    inference(forward_subsumption_resolution,[status(thm)],[c_9592,c_6390,c_6394]) ).

cnf(c_9594,plain,
    nil = sk5,
    inference(backward_subsumption_resolution,[status(thm)],[c_9242,c_9593]) ).

cnf(c_9601,plain,
    app(nil,sk6) = sk2,
    inference(demodulation,[status(thm)],[c_1558,c_9594]) ).

cnf(c_9602,plain,
    app(sk6,nil) = sk1,
    inference(demodulation,[status(thm)],[c_1557,c_9594]) ).

cnf(c_9604,plain,
    sk1 = sk6,
    inference(light_normalisation,[status(thm)],[c_9602,c_9072]) ).

cnf(c_9608,plain,
    segmentP(sk2,sk1),
    inference(demodulation,[status(thm)],[c_9249,c_9604]) ).

cnf(c_9614,plain,
    sk1 = nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_9002,c_9608]) ).

cnf(c_9662,plain,
    nil = sk6,
    inference(light_normalisation,[status(thm)],[c_9604,c_9614]) ).

cnf(c_9667,plain,
    sk2 = nil,
    inference(light_normalisation,[status(thm)],[c_9601,c_391,c_9662]) ).

cnf(c_9668,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9667,c_2817]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWC090-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.15  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Thu May  2 23:19:49 EDT 2024
% 0.14/0.37  % CPUTime  : 
% 0.22/0.51  Running first-order theorem proving
% 0.22/0.51  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
% 4.17/1.20  % SZS status Started for theBenchmark.p
% 4.17/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 4.17/1.20  
% 4.17/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.17/1.20  
% 4.17/1.20  ------  iProver source info
% 4.17/1.20  
% 4.17/1.20  git: date: 2024-05-02 19:28:25 +0000
% 4.17/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.17/1.20  git: non_committed_changes: false
% 4.17/1.20  
% 4.17/1.20  ------ Parsing...successful
% 4.17/1.20  
% 4.17/1.20  
% 4.17/1.20  
% 4.17/1.20  ------ Preprocessing... sup_sim: 6  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 
% 4.17/1.20  
% 4.17/1.20  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.17/1.20  
% 4.17/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.17/1.20  ------ Proving...
% 4.17/1.20  ------ Problem Properties 
% 4.17/1.20  
% 4.17/1.20  
% 4.17/1.20  clauses                                 188
% 4.17/1.20  conjectures                             6
% 4.17/1.20  EPR                                     61
% 4.17/1.20  Horn                                    160
% 4.17/1.20  unary                                   67
% 4.17/1.20  binary                                  22
% 4.17/1.20  lits                                    556
% 4.17/1.20  lits eq                                 75
% 4.17/1.20  fd_pure                                 0
% 4.17/1.20  fd_pseudo                               0
% 4.17/1.20  fd_cond                                 16
% 4.17/1.20  fd_pseudo_cond                          14
% 4.17/1.20  AC symbols                              0
% 4.17/1.20  
% 4.17/1.20  ------ Schedule dynamic 5 is on 
% 4.17/1.20  
% 4.17/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.17/1.20  
% 4.17/1.20  
% 4.17/1.20  ------ 
% 4.17/1.20  Current options:
% 4.17/1.20  ------ 
% 4.17/1.20  
% 4.17/1.20  
% 4.17/1.20  
% 4.17/1.20  
% 4.17/1.20  ------ Proving...
% 4.17/1.20  
% 4.17/1.20  
% 4.17/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 4.17/1.20  
% 4.17/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.17/1.20  
% 4.17/1.20  
%------------------------------------------------------------------------------