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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC104-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:07:55 PM UTC 2026

% Result   : Unsatisfiable 2.82s 1.17s
% Output   : CNFRefutation 2.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f244ERROR: Could not build tree for root c_9155ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( X1 = X0
      | neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

fof(f102,plain,
    ! [X0,X1] :
      ( X0 = X1
      | neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(reorient_equations,[],[f101]) ).

fof(f155,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f209,plain,
    sk4 = app(sk3,sk5),
    inference(reorient_equations,[],[f208]) ).

fof(f213,negated_conjecture,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f214,negated_conjecture,
    ( ~ frontsegP(sk2,sk1)
    | ~ neq(sk1,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f217,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f206,f204]) ).

fof(f218,plain,
    ( ~ frontsegP(sk4,sk3)
    | ~ neq(sk3,nil) ),
    inference(definition_unfolding,[],[f214,f205,f204,f205]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f155]) ).

tcf(c_254,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_331,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_346,plain,
    ! [X0: $i,X1: $i] :
      ( neq(X1,X0)
      | ( X0 = X1 )
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_361,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ neq(X0,X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_390,plain,
    ! [X0: $i,X1: $i] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_434,negated_conjecture,
    ssList(sk3),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_435,negated_conjecture,
    ssList(sk4),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_436,negated_conjecture,
    neq(sk4,nil),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_437,negated_conjecture,
    ssList(sk5),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_438,negated_conjecture,
    app(sk3,sk5) = sk4,
    inference(cnf_transformation,[],[f209]) ).

tcf(c_441,negated_conjecture,
    ( ( sk4 = nil )
    | ( sk3 != nil ) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_442,negated_conjecture,
    ( ~ frontsegP(sk4,sk3)
    | ~ neq(sk3,nil) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_808,plain,
    ! [X0: $i,X1: $i] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_390,c_331]) ).

tcf(c_2885,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(sk4,sk3)
      | ( X1 != sk3 )
      | ( X0 != nil ) ),
    inference(resolution_lifted,[status(thm)],[c_346,c_442]) ).

tcf(c_2886,plain,
    ( ( nil = sk3 )
    | ~ ssList(nil)
    | ~ ssList(sk3)
    | ~ frontsegP(sk4,sk3) ),
    inference(unflattening,[status(thm)],[c_2885]) ).

tcf(c_2887,plain,
    ( ( nil = sk3 )
    | ~ frontsegP(sk4,sk3) ),
    inference(global_subsumption_just,[status(thm)],[c_2886,c_434,c_254,c_2886]) ).

tcf(c_2903,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ( X0 != nil )
      | ( X0 != sk4 ) ),
    inference(resolution_lifted,[status(thm)],[c_361,c_436]) ).

tcf(c_2904,plain,
    ( ~ ssList(sk4)
    | ( sk4 != nil ) ),
    inference(unflattening,[status(thm)],[c_2903]) ).

tcf(c_2905,plain,
    sk4 != nil,
    inference(global_subsumption_just,[status(thm)],[c_2904,c_435,c_2904]) ).

tcf(c_2922,plain,
    sk3 != nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_441,c_2905]) ).

tcf(c_6580,definition,
    iPr_def_12 = app(sk3,sk5),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_6581,plain,
    sk3 != nil,
    inference(demodulation,[status(thm)],[c_2922]) ).

tcf(c_6584,plain,
    ( ( nil = sk3 )
    | ~ frontsegP(sk4,sk3) ),
    inference(demodulation,[status(thm)],[c_2887]) ).

tcf(c_6587,negated_conjecture,
    iPr_def_12 = sk4,
    inference(demodulation,[status(thm)],[c_438,c_6580]) ).

tcf(c_6588,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_437]) ).

tcf(c_6590,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_434]) ).

tcf(c_9140,plain,
    ( ( sk3 = nil )
    | ~ frontsegP(iPr_def_12,sk3) ),
    inference(light_normalisation,[status(thm)],[c_6584,c_6587]) ).

tcf(c_9141,plain,
    ~ frontsegP(iPr_def_12,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_9140,c_6581]) ).

tcf(c_9153,plain,
    ( frontsegP(iPr_def_12,sk3)
    | ~ ssList(sk5)
    | ~ ssList(sk3) ),
    inference(superposition,[status(thm)],[c_6580,c_808]) ).

tcf(c_9155,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9153,c_9141,c_6588,c_6590]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC104-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n010.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 16:24:58 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.41  % Detected problem language: tptp
% 0.09/0.42  % Proving...
% 2.82/1.17  % SZS status Started for theBenchmark.p
% 2.82/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.82/1.17  
% 2.82/1.17  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.82/1.17  
% 2.82/1.17  % ------  iProver source info
% 2.82/1.17  
% 2.82/1.17  % git: date: 2026-07-19 20:42:38 +0200
% 2.82/1.17  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.82/1.17  % git: non_committed_changes: false
% 2.82/1.17  
% 2.82/1.17  % ------ Parsing...% successful
% 2.82/1.17  
% 2.82/1.17  
% 2.82/1.17  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.82/1.17  
% 2.82/1.17  % ------ Preprocessing... sup_sim: 0  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 % 
% 2.82/1.17  
% 2.82/1.17  % ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.82/1.17  
% 2.82/1.17  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.82/1.17  % ------ Proving...
% 2.82/1.17  % ------ Problem Properties 
% 2.82/1.17  
% 2.82/1.17  % 
% 2.82/1.17  % clauses                               188
% 2.82/1.17  % conjectures                           6
% 2.82/1.17  % EPR                                   61
% 2.82/1.17  % Horn                                  160
% 2.82/1.17  % unary                                 66
% 2.82/1.17  % binary                                23
% 2.82/1.17  % lits                                  560
% 2.82/1.17  % lits eq                               77
% 2.82/1.17  % fd_pure                               0
% 2.82/1.17  % fd_pseudo                             0
% 2.82/1.17  % fd_cond                               15
% 2.82/1.17  % fd_pseudo_cond                        14
% 2.82/1.17  % AC symbols                            0
% 2.82/1.17  
% 2.82/1.17  % ------ Schedule dynamic 5 is on 
% 2.82/1.17  
% 2.82/1.17  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.82/1.17  
% 2.82/1.17  
% 2.82/1.17  % ------ 
% 2.82/1.17  % Current options:
% 2.82/1.17  % ------ 
% 2.82/1.17  
% 2.82/1.17  
% 2.82/1.17  % 
% 2.82/1.17  
% 2.82/1.17  % ------ Proving...
% 2.82/1.17  % 
% 2.82/1.17  
% 2.82/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 2.82/1.17  
% 2.82/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.82/1.18  
% 2.82/1.18  
%------------------------------------------------------------------------------