TSTP Solution File: SWC324-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC324-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 : Mon Jun 24 16:24:34 EDT 2024

% Result   : Unsatisfiable 39.87s 6.26s
% Output   : CNFRefutation 39.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   66 (  24 unt;   8 nHn;  56 RR)
%            Number of literals    :  168 (  61 equ; 101 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :   59 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_52,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

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,
    ( app(X0,X1) != sk2
    | app(X1,X0) != sk1
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(c_56,negated_conjecture,
    ( app(cons(X0,nil),X1) != sk4
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | app(X1,cons(X0,nil)) = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(c_57,negated_conjecture,
    ( sk4 != nil
    | sk3 = nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(c_65,plain,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(c_69,plain,
    ssItem(skaf83(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).

cnf(c_70,plain,
    ssList(skaf82(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).

cnf(c_108,plain,
    ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(c_131,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(c_134,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssList(tl(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).

cnf(c_135,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssItem(hd(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).

cnf(c_142,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

cnf(c_143,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | ssList(cons(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).

cnf(c_153,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | tl(cons(X1,X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).

cnf(c_154,plain,
    ( ~ ssList(X0)
    | ~ ssItem(X1)
    | hd(cons(X1,X0)) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).

cnf(c_161,plain,
    ( ~ ssList(X0)
    | cons(hd(X0),tl(X0)) = X0
    | X0 = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).

cnf(c_166,plain,
    ( ~ ssList(X0)
    | cons(skaf83(X0),skaf82(X0)) = X0
    | X0 = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).

cnf(c_189,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_201,plain,
    ( app(X0,X1) != X2
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | frontsegP(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).

cnf(c_202,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_235,plain,
    ( X0 != X1
    | ~ frontsegP(X2,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X0)
    | ~ ssItem(X1)
    | frontsegP(cons(X0,X2),cons(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause178) ).

cnf(c_252,plain,
    ( ~ ssList(app(X0,X1))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | frontsegP(app(X0,X1),X0) ),
    inference(unflattening,[status(thm)],[c_201]) ).

cnf(c_255,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(unflattening,[status(thm)],[c_202]) ).

cnf(c_258,plain,
    ( ~ frontsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | frontsegP(cons(X2,X0),cons(X2,X1)) ),
    inference(unflattening,[status(thm)],[c_235]) ).

cnf(c_322,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(instantiation,[status(thm)],[c_131]) ).

cnf(c_389,plain,
    app(nil,nil) = nil,
    inference(global_subsumption_just,[status(thm)],[c_255,c_65,c_322]) ).

cnf(c_631,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | frontsegP(app(X0,X1),X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_252,c_142]) ).

cnf(c_2169,plain,
    ( app(X0,X1) != sk4
    | app(X1,X0) != sk3
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    inference(light_normalisation,[status(thm)],[c_55,c_53,c_54]) ).

cnf(c_6348,negated_conjecture,
    ( app(cons(X0,nil),X1) != sk4
    | ~ ssList(X1)
    | ~ ssItem(X0)
    | app(X1,cons(X0,nil)) = sk3 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_6351,negated_conjecture,
    ssList(sk4),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_8891,plain,
    ( app(nil,nil) != sk3
    | sk4 != nil
    | ~ ssList(nil) ),
    inference(superposition,[status(thm)],[c_389,c_2169]) ).

cnf(c_8892,plain,
    ( sk3 != nil
    | sk4 != nil
    | ~ ssList(nil) ),
    inference(light_normalisation,[status(thm)],[c_8891,c_389]) ).

cnf(c_8896,plain,
    sk4 != nil,
    inference(global_subsumption_just,[status(thm)],[c_8892,c_65,c_57,c_8892]) ).

cnf(c_9186,plain,
    app(nil,skaf82(X0)) = skaf82(X0),
    inference(superposition,[status(thm)],[c_70,c_131]) ).

cnf(c_9779,plain,
    ( ~ ssItem(X0)
    | tl(cons(X0,skaf82(X1))) = skaf82(X1) ),
    inference(superposition,[status(thm)],[c_70,c_153]) ).

cnf(c_9932,plain,
    ( ~ ssItem(X0)
    | hd(cons(X0,skaf82(X1))) = X0 ),
    inference(superposition,[status(thm)],[c_70,c_154]) ).

cnf(c_10296,plain,
    ( ~ ssList(sk4)
    | sk4 = nil
    | ssList(tl(sk4)) ),
    inference(instantiation,[status(thm)],[c_134]) ).

cnf(c_10297,plain,
    ( ~ ssList(sk4)
    | sk4 = nil
    | ssItem(hd(sk4)) ),
    inference(instantiation,[status(thm)],[c_135]) ).

cnf(c_10561,plain,
    ( cons(hd(sk4),tl(sk4)) = sk4
    | sk4 = nil ),
    inference(superposition,[status(thm)],[c_6351,c_161]) ).

cnf(c_10593,plain,
    cons(hd(sk4),tl(sk4)) = sk4,
    inference(forward_subsumption_resolution,[status(thm)],[c_10561,c_8896]) ).

cnf(c_10716,plain,
    ( cons(skaf83(sk4),skaf82(sk4)) = sk4
    | sk4 = nil ),
    inference(superposition,[status(thm)],[c_6351,c_166]) ).

cnf(c_10748,plain,
    cons(skaf83(sk4),skaf82(sk4)) = sk4,
    inference(forward_subsumption_resolution,[status(thm)],[c_10716,c_8896]) ).

cnf(c_11768,plain,
    ( ~ frontsegP(sk4,X0)
    | ~ ssList(X0)
    | ~ ssList(sk4)
    | app(X0,skaf45(sk4,X0)) = sk4 ),
    inference(instantiation,[status(thm)],[c_189]) ).

cnf(c_11769,plain,
    ( app(skaf45(sk4,X0),X0) != sk3
    | app(X0,skaf45(sk4,X0)) != sk4
    | ~ ssList(skaf45(sk4,X0))
    | ~ ssList(X0) ),
    inference(instantiation,[status(thm)],[c_2169]) ).

cnf(c_14696,plain,
    ( app(cons(hd(sk4),nil),X0) != sk4
    | ~ ssItem(hd(sk4))
    | ~ ssList(X0)
    | app(X0,cons(hd(sk4),nil)) = sk3 ),
    inference(instantiation,[status(thm)],[c_6348]) ).

cnf(c_18943,plain,
    ( ~ ssList(skaf82(X0))
    | ~ ssList(nil)
    | frontsegP(skaf82(X0),nil) ),
    inference(superposition,[status(thm)],[c_9186,c_631]) ).

cnf(c_18954,plain,
    frontsegP(skaf82(X0),nil),
    inference(forward_subsumption_resolution,[status(thm)],[c_18943,c_65,c_70]) ).

cnf(c_19154,plain,
    ssList(skaf45(sk4,X0)),
    inference(instantiation,[status(thm)],[c_108]) ).

cnf(c_28325,plain,
    ( app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) != sk4
    | ~ ssList(skaf45(sk4,cons(hd(sk4),nil)))
    | ~ ssItem(hd(sk4))
    | app(skaf45(sk4,cons(hd(sk4),nil)),cons(hd(sk4),nil)) = sk3 ),
    inference(instantiation,[status(thm)],[c_14696]) ).

cnf(c_28326,plain,
    ( ~ frontsegP(sk4,cons(hd(sk4),nil))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(sk4)
    | app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) = sk4 ),
    inference(instantiation,[status(thm)],[c_11768]) ).

cnf(c_28432,plain,
    ( ~ frontsegP(tl(sk4),X0)
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | ~ ssList(X0)
    | frontsegP(sk4,cons(hd(sk4),X0)) ),
    inference(superposition,[status(thm)],[c_10593,c_258]) ).

cnf(c_28646,plain,
    ( ~ frontsegP(tl(sk4),nil)
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | ~ ssList(nil)
    | frontsegP(sk4,cons(hd(sk4),nil)) ),
    inference(instantiation,[status(thm)],[c_28432]) ).

cnf(c_50184,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(X0)
    | ssList(cons(hd(sk4),X0)) ),
    inference(instantiation,[status(thm)],[c_143]) ).

cnf(c_50185,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(nil)
    | ssList(cons(hd(sk4),nil)) ),
    inference(instantiation,[status(thm)],[c_50184]) ).

cnf(c_50836,plain,
    hd(cons(skaf83(X0),skaf82(X1))) = skaf83(X0),
    inference(superposition,[status(thm)],[c_69,c_9932]) ).

cnf(c_50910,plain,
    skaf83(sk4) = hd(sk4),
    inference(superposition,[status(thm)],[c_10748,c_50836]) ).

cnf(c_50930,plain,
    cons(hd(sk4),skaf82(sk4)) = sk4,
    inference(demodulation,[status(thm)],[c_10748,c_50910]) ).

cnf(c_50992,plain,
    ssItem(hd(sk4)),
    inference(superposition,[status(thm)],[c_50910,c_69]) ).

cnf(c_74139,plain,
    ssList(skaf45(sk4,cons(hd(sk4),nil))),
    inference(instantiation,[status(thm)],[c_19154]) ).

cnf(c_142859,plain,
    tl(cons(hd(sk4),skaf82(X0))) = skaf82(X0),
    inference(superposition,[status(thm)],[c_50992,c_9779]) ).

cnf(c_145912,plain,
    skaf82(sk4) = tl(sk4),
    inference(superposition,[status(thm)],[c_50930,c_142859]) ).

cnf(c_145966,plain,
    frontsegP(tl(sk4),nil),
    inference(superposition,[status(thm)],[c_145912,c_18954]) ).

cnf(c_156459,plain,
    ( app(skaf45(sk4,cons(hd(sk4),nil)),cons(hd(sk4),nil)) != sk3
    | app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) != sk4
    | ~ ssList(skaf45(sk4,cons(hd(sk4),nil)))
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(instantiation,[status(thm)],[c_11769]) ).

cnf(c_156460,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_156459,c_145966,c_74139,c_50185,c_28646,c_28326,c_28325,c_10297,c_10296,c_8896,c_65,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWC324-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Jun 20 03:27:39 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 39.87/6.26  % SZS status Started for theBenchmark.p
% 39.87/6.26  % SZS status Unsatisfiable for theBenchmark.p
% 39.87/6.26  
% 39.87/6.26  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.87/6.26  
% 39.87/6.26  ------  iProver source info
% 39.87/6.26  
% 39.87/6.26  git: date: 2024-06-12 09:56:46 +0000
% 39.87/6.26  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 39.87/6.26  git: non_committed_changes: false
% 39.87/6.26  
% 39.87/6.26  ------ Parsing...successful
% 39.87/6.26  
% 39.87/6.26  
% 39.87/6.26  
% 39.87/6.26  ------ Preprocessing... sup_sim: 5  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 39.87/6.26  
% 39.87/6.26  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 39.87/6.26  
% 39.87/6.26  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 39.87/6.26  ------ Proving...
% 39.87/6.26  ------ Problem Properties 
% 39.87/6.26  
% 39.87/6.26  
% 39.87/6.26  clauses                                 184
% 39.87/6.26  conjectures                             6
% 39.87/6.26  EPR                                     57
% 39.87/6.26  Horn                                    156
% 39.87/6.26  unary                                   62
% 39.87/6.26  binary                                  22
% 39.87/6.26  lits                                    555
% 39.87/6.26  lits eq                                 77
% 39.87/6.26  fd_pure                                 0
% 39.87/6.26  fd_pseudo                               0
% 39.87/6.26  fd_cond                                 15
% 39.87/6.26  fd_pseudo_cond                          14
% 39.87/6.26  AC symbols                              0
% 39.87/6.26  
% 39.87/6.26  ------ Schedule dynamic 5 is on 
% 39.87/6.26  
% 39.87/6.26  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 39.87/6.26  
% 39.87/6.26  
% 39.87/6.26  ------ 
% 39.87/6.26  Current options:
% 39.87/6.26  ------ 
% 39.87/6.26  
% 39.87/6.26  
% 39.87/6.26  
% 39.87/6.26  
% 39.87/6.26  ------ Proving...
% 39.87/6.26  
% 39.87/6.26  
% 39.87/6.26  % SZS status Unsatisfiable for theBenchmark.p
% 39.87/6.26  
% 39.87/6.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.87/6.26  
% 39.87/6.27  
%------------------------------------------------------------------------------