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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC011-1 : 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 : n014.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 03:07:30 PM UTC 2026

% Result   : Unsatisfiable 3.65s 6.50s
% Output   : CNFRefutation 3.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f267ERROR: Could not build tree for root c_9125ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
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(f217,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ neq(sk4,nil)
      | app(X1,X2) != sk1
      | app(app(X1,cons(X0,nil)),X2) != sk2
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( ~ neq(sk4,nil)
      | app(X1,X2) != sk1
      | sk2 != app(app(X1,cons(X0,nil)),X2)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(reorient_equations,[],[f217]) ).

fof(f219,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f220,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

fof(f221,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

fof(f222,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(app(sk6,cons(sk5,nil)),sk7) = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).

fof(f223,plain,
    ( ~ neq(sk4,nil)
    | sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
    inference(reorient_equations,[],[f222]) ).

fof(f224,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk6,sk7) = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).

fof(f225,plain,
    ( ~ neq(sk4,nil)
    | sk3 = app(sk6,sk7) ),
    inference(reorient_equations,[],[f224]) ).

fof(f236,plain,
    ! [X2,X0,X1] :
      ( ~ neq(sk4,nil)
      | app(X1,X2) != sk3
      | sk4 != app(app(X1,cons(X0,nil)),X2)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(definition_unfolding,[],[f218,f204,f205]) ).

tcf(c_443,negated_conjecture,
    neq(sk4,nil),
    inference(cnf_transformation,[],[f267]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ neq(sk4,nil)
      | ( app(X0,X1) != sk3 )
      | ( app(app(X0,cons(X2,nil)),X1) != sk4 ) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_451,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_452,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_453,negated_conjecture,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_454,negated_conjecture,
    ( ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 )
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_455,negated_conjecture,
    ( ( app(sk6,sk7) = sk3 )
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_570,negated_conjecture,
    ssList(sk7),
    inference(global_subsumption_just,[status(thm)],[c_453,c_443,c_453]) ).

tcf(c_572,negated_conjecture,
    ssList(sk6),
    inference(global_subsumption_just,[status(thm)],[c_452,c_443,c_452]) ).

tcf(c_574,negated_conjecture,
    ssItem(sk5),
    inference(global_subsumption_just,[status(thm)],[c_451,c_443,c_451]) ).

tcf(c_586,negated_conjecture,
    app(sk6,sk7) = sk3,
    inference(global_subsumption_just,[status(thm)],[c_455,c_443,c_455]) ).

tcf(c_594,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk4,
    inference(global_subsumption_just,[status(thm)],[c_454,c_443,c_454]) ).

tcf(c_598,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ( app(app(X0,cons(X2,nil)),X1) != sk4 )
      | ( app(X0,X1) != sk3 ) ),
    inference(global_subsumption_just,[status(thm)],[c_450,c_443,c_450]) ).

tcf(c_599,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ( app(X0,X2) != sk3 )
      | ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
    inference(renaming,[status(thm)],[c_598]) ).

tcf(c_6538,definition,
    iPr_def_12 = cons(sk5,nil),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_6539,definition,
    iPr_def_13 = app(sk6,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_6540,definition,
    iPr_def_14 = app(iPr_def_13,sk7),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_6541,definition,
    iPr_def_15 = app(sk6,sk7),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_6543,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ( app(X0,X2) != sk3 )
      | ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
    inference(demodulation,[status(thm)],[c_599]) ).

tcf(c_6544,negated_conjecture,
    iPr_def_14 = sk4,
    inference(demodulation,[status(thm)],[c_594,c_6538,c_6539,c_6540]) ).

tcf(c_6545,negated_conjecture,
    iPr_def_15 = sk3,
    inference(demodulation,[status(thm)],[c_586,c_6541]) ).

tcf(c_6546,negated_conjecture,
    ssItem(sk5),
    inference(demodulation,[status(thm)],[c_574]) ).

tcf(c_6547,negated_conjecture,
    ssList(sk6),
    inference(demodulation,[status(thm)],[c_572]) ).

tcf(c_6548,negated_conjecture,
    ssList(sk7),
    inference(demodulation,[status(thm)],[c_570]) ).

tcf(c_9085,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ( app(X0,X2) != iPr_def_15 )
      | ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_6543,c_6544,c_6545]) ).

tcf(c_9096,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssItem(sk5)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ( app(X0,X1) != iPr_def_15 )
      | ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_6538,c_9085]) ).

tcf(c_9097,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ( app(X0,X1) != iPr_def_15 )
      | ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9096,c_6546]) ).

tcf(c_9111,plain,
    ! [X0: $i] :
      ( ~ ssList(sk6)
      | ~ ssList(X0)
      | ( app(iPr_def_13,X0) != iPr_def_14 )
      | ( app(sk6,X0) != iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_6539,c_9097]) ).

tcf(c_9112,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ( app(iPr_def_13,X0) != iPr_def_14 )
      | ( app(sk6,X0) != iPr_def_15 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9111,c_6547]) ).

tcf(c_9123,plain,
    ( ~ ssList(sk7)
    | ( app(sk6,sk7) != iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_6540,c_9112]) ).

tcf(c_9124,plain,
    ~ ssList(sk7),
    inference(ground_joinability,[status(thm)],[c_9123,c_6541]) ).

tcf(c_9125,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9124,c_6548]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC011-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.59  % Computer : n014.cluster.edu
% 0.11/5.59  % Model    : x86_64 x86_64
% 0.11/5.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59  % Memory   : 8046.5625MB
% 0.11/5.59  % OS       : Linux 6.8.0-71-generic
% 0.11/5.59  % CPULimit : 300
% 0.11/5.59  % WCLimit  : 300
% 0.11/5.59  % DateTime : Thu Sep 24 15:53:54 UTC 2026
% 0.11/5.59  % CPUTime  : 
% 0.11/5.59  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.63  Running first-order theorem proving
% 0.16/5.63  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
% 0.16/5.64  
% 0.16/5.64  % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.64  
% 0.16/5.65  % Detected problem language: tptp
% 0.16/5.66  % Proving...
% 3.65/6.50  % SZS status Started for theBenchmark.p
% 3.65/6.50  % SZS status Unsatisfiable for theBenchmark.p
% 3.65/6.50  
% 3.65/6.50  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.65/6.50  
% 3.65/6.50  % ------  iProver source info
% 3.65/6.50  
% 3.65/6.50  % git: date: 2026-07-19 20:42:38 +0200
% 3.65/6.50  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.65/6.50  % git: non_committed_changes: false
% 3.65/6.50  
% 3.65/6.50  % ------ Parsing...% successful
% 3.65/6.50  
% 3.65/6.50  
% 3.65/6.50  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.65/6.50  
% 3.65/6.50  % ------ 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 % 
% 3.65/6.50  
% 3.65/6.50  % ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.65/6.50  
% 3.65/6.50  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.65/6.50  % ------ Proving...
% 3.65/6.50  % ------ Problem Properties 
% 3.65/6.50  
% 3.65/6.50  % 
% 3.65/6.50  % clauses                               190
% 3.65/6.50  % conjectures                           8
% 3.65/6.50  % EPR                                   60
% 3.65/6.50  % Horn                                  162
% 3.65/6.50  % unary                                 70
% 3.65/6.50  % binary                                21
% 3.65/6.50  % lits                                  558
% 3.65/6.50  % lits eq                               78
% 3.65/6.50  % fd_pure                               0
% 3.65/6.50  % fd_pseudo                             0
% 3.65/6.50  % fd_cond                               15
% 3.65/6.50  % fd_pseudo_cond                        14
% 3.65/6.50  % AC symbols                            0
% 3.65/6.50  
% 3.65/6.50  % ------ Schedule dynamic 5 is on 
% 3.65/6.50  
% 3.65/6.50  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.65/6.50  
% 3.65/6.50  
% 3.65/6.50  % ------ 
% 3.65/6.50  % Current options:
% 3.65/6.50  % ------ 
% 3.65/6.50  
% 3.65/6.50  
% 3.65/6.50  % 
% 3.65/6.50  
% 3.65/6.50  % ------ Proving...
% 3.65/6.50  % 
% 3.65/6.50  
% 3.65/6.50  % SZS status Unsatisfiable for theBenchmark.p
% 3.65/6.50  
% 3.65/6.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/6.50  
% 3.65/6.50  
%------------------------------------------------------------------------------