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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC096-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n002.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 03:07:52 PM UTC 2026

% Result   : Unsatisfiable 3.54s 11.52s
% Output   : CNFRefutation 3.54s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f264ERROR: Could not build tree for root c_9069ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

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

fof(f216,negated_conjecture,
    ! [X0,X1] :
      ( ~ neq(sk4,nil)
      | app(X1,cons(X0,nil)) != sk2
      | cons(X0,nil) != sk1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f217,plain,
    ! [X0,X1] :
      ( ~ neq(sk4,nil)
      | sk2 != app(X1,cons(X0,nil))
      | cons(X0,nil) != sk1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(reorient_equations,[],[f216]) ).

fof(f218,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f219,negated_conjecture,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f220,negated_conjecture,
    ( ~ neq(sk4,nil)
    | cons(sk5,nil) = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f221,plain,
    ( ~ neq(sk4,nil)
    | sk3 = cons(sk5,nil) ),
    inference(reorient_equations,[],[f220]) ).

fof(f222,negated_conjecture,
    ( ~ neq(sk4,nil)
    | app(sk6,cons(sk5,nil)) = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

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

fof(f233,plain,
    ! [X0,X1] :
      ( ~ neq(sk4,nil)
      | sk4 != app(X1,cons(X0,nil))
      | cons(X0,nil) != sk3
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(definition_unfolding,[],[f217,f205,f204]) ).

tcf(c_441,negated_conjecture,
    neq(sk4,nil),
    inference(cnf_transformation,[],[f264]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ neq(sk4,nil)
      | ( cons(X0,nil) != sk3 )
      | ( app(X1,cons(X0,nil)) != sk4 ) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_448,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_449,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_450,negated_conjecture,
    ( ( cons(sk5,nil) = sk3 )
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_451,negated_conjecture,
    ( ( app(sk6,cons(sk5,nil)) = sk4 )
    | ~ neq(sk4,nil) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_564,negated_conjecture,
    ssList(sk6),
    inference(global_subsumption_just,[status(thm)],[c_449,c_441,c_449]) ).

tcf(c_566,negated_conjecture,
    ssItem(sk5),
    inference(global_subsumption_just,[status(thm)],[c_448,c_441,c_448]) ).

tcf(c_578,negated_conjecture,
    cons(sk5,nil) = sk3,
    inference(global_subsumption_just,[status(thm)],[c_450,c_441,c_450]) ).

tcf(c_586,negated_conjecture,
    app(sk6,cons(sk5,nil)) = sk4,
    inference(global_subsumption_just,[status(thm)],[c_451,c_441,c_451]) ).

tcf(c_590,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ( app(X1,cons(X0,nil)) != sk4 )
      | ( cons(X0,nil) != sk3 ) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_441,c_447]) ).

tcf(c_591,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | ( cons(X1,nil) != sk3 )
      | ( app(X0,cons(X1,nil)) != sk4 ) ),
    inference(renaming,[status(thm)],[c_590]) ).

tcf(c_1797,plain,
    app(sk6,sk3) = sk4,
    inference(light_normalisation,[status(thm)],[c_586,c_578]) ).

tcf(c_6519,definition,
    iPr_def_12 = app(sk6,sk3),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_6520,definition,
    iPr_def_13 = cons(sk5,nil),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_6522,plain,
    iPr_def_12 = sk4,
    inference(demodulation,[status(thm)],[c_1797,c_6519]) ).

tcf(c_6523,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | ( cons(X1,nil) != sk3 )
      | ( app(X0,cons(X1,nil)) != sk4 ) ),
    inference(demodulation,[status(thm)],[c_591]) ).

tcf(c_6524,negated_conjecture,
    iPr_def_13 = sk3,
    inference(demodulation,[status(thm)],[c_578,c_6520]) ).

tcf(c_6525,negated_conjecture,
    ssItem(sk5),
    inference(demodulation,[status(thm)],[c_566]) ).

tcf(c_6526,negated_conjecture,
    ssList(sk6),
    inference(demodulation,[status(thm)],[c_564]) ).

tcf(c_9047,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | ( cons(X1,nil) != iPr_def_13 )
      | ( app(X0,cons(X1,nil)) != iPr_def_12 ) ),
    inference(light_normalisation,[status(thm)],[c_6523,c_6522,c_6524]) ).

tcf(c_9057,plain,
    app(sk6,iPr_def_13) = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_6519,c_6524]) ).

tcf(c_9058,plain,
    ! [X0: $i] :
      ( ~ ssItem(sk5)
      | ~ ssList(X0)
      | ( cons(sk5,nil) != iPr_def_13 )
      | ( app(X0,iPr_def_13) != iPr_def_12 ) ),
    inference(superposition,[status(thm)],[c_6520,c_9047]) ).

tcf(c_9059,plain,
    ! [X0: $i] :
      ( ~ ssItem(sk5)
      | ~ ssList(X0)
      | ( app(X0,iPr_def_13) != iPr_def_12 ) ),
    inference(ground_joinability,[status(thm)],[c_9058,c_6520]) ).

tcf(c_9060,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ( app(X0,iPr_def_13) != iPr_def_12 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9059,c_6525]) ).

tcf(c_9068,plain,
    ~ ssList(sk6),
    inference(superposition,[status(thm)],[c_9057,c_9060]) ).

tcf(c_9069,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9068,c_6526]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC096-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/10.60  % Computer : n002.cluster.edu
% 0.12/10.60  % Model    : x86_64 x86_64
% 0.12/10.60  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.60  % Memory   : 8046.5625MB
% 0.12/10.60  % OS       : Linux 6.8.0-71-generic
% 0.12/10.60  % CPULimit : 300
% 0.12/10.60  % WCLimit  : 300
% 0.12/10.60  % DateTime : Thu Sep 24 16:25:02 UTC 2026
% 0.12/10.60  % CPUTime  : 
% 0.12/10.60  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/10.64  Running first-order theorem proving
% 0.12/10.64  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/10.65  
% 0.12/10.65  % ======== iProver multi-core TPTP/SMT =========
% 0.12/10.65  
% 0.12/10.65  % Detected problem language: tptp
% 0.12/10.67  % Proving...
% 3.54/11.52  % SZS status Started for theBenchmark.p
% 3.54/11.52  % SZS status Unsatisfiable for theBenchmark.p
% 3.54/11.52  
% 3.54/11.52  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.54/11.52  
% 3.54/11.52  % ------  iProver source info
% 3.54/11.52  
% 3.54/11.52  % git: date: 2026-07-19 20:42:38 +0200
% 3.54/11.52  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.54/11.52  % git: non_committed_changes: false
% 3.54/11.52  
% 3.54/11.52  % ------ Parsing...% successful
% 3.54/11.52  
% 3.54/11.52  
% 3.54/11.52  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.54/11.52  
% 3.54/11.52  % ------ Preprocessing... sup_sim: 1  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 % 
% 3.54/11.52  
% 3.54/11.52  % ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.54/11.52  
% 3.54/11.52  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.54/11.52  % ------ Proving...
% 3.54/11.52  % ------ Problem Properties 
% 3.54/11.52  
% 3.54/11.52  % 
% 3.54/11.52  % clauses                               187
% 3.54/11.52  % conjectures                           6
% 3.54/11.52  % EPR                                   59
% 3.54/11.52  % Horn                                  159
% 3.54/11.52  % unary                                 67
% 3.54/11.52  % binary                                21
% 3.54/11.52  % lits                                  554
% 3.54/11.52  % lits eq                               76
% 3.54/11.52  % fd_pure                               0
% 3.54/11.52  % fd_pseudo                             0
% 3.54/11.52  % fd_cond                               15
% 3.54/11.52  % fd_pseudo_cond                        14
% 3.54/11.52  % AC symbols                            0
% 3.54/11.52  
% 3.54/11.52  % ------ Schedule dynamic 5 is on 
% 3.54/11.52  
% 3.54/11.52  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.54/11.52  
% 3.54/11.52  
% 3.54/11.52  % ------ 
% 3.54/11.52  % Current options:
% 3.54/11.52  % ------ 
% 3.54/11.52  
% 3.54/11.52  
% 3.54/11.52  % 
% 3.54/11.52  
% 3.54/11.52  % ------ Proving...
% 3.54/11.52  % 
% 3.54/11.52  
% 3.54/11.52  % SZS status Unsatisfiable for theBenchmark.p
% 3.54/11.52  
% 3.54/11.52  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/11.52  
% 3.54/11.52  
%------------------------------------------------------------------------------