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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC085-1 : 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 : n001.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 03:07:49 PM UTC 2026

% Result   : Unsatisfiable 8.65s 2.27s
% Output   : CNFRefutation 8.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f241ERROR: Could not build tree for root c_19448ERROR: MakeTreeStats fails)

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

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

fof(f143,axiom,
    ! [X0,X1] :
      ( app(X1,skaf45(X0,X1)) = X0
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).

fof(f187,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(X3,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

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,
    ! [X0] :
      ( ~ segmentP(sk1,X0)
      | ~ segmentP(sk2,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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

fof(f209,negated_conjecture,
    ( frontsegP(sk4,sk3)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f214,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f206,f204]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ segmentP(sk3,X0)
      | ~ segmentP(sk4,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f207,f204,f205]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f187]) ).

tcf(c_253,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_296,plain,
    ! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_302,plain,
    ! [X0: $i] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_319,plain,
    ! [X0: $i] :
      ( ( app(nil,X0) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_360,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ neq(X0,X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_377,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(X1,skaf45(X0,X1)) = X0 )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_418,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_433,negated_conjecture,
    ssList(sk3),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_434,negated_conjecture,
    ssList(sk4),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_435,negated_conjecture,
    neq(sk4,nil),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0)
      | ~ neq(X0,nil) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_437,negated_conjecture,
    ( neq(sk3,nil)
    | ( sk4 = nil ) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_438,negated_conjecture,
    ( frontsegP(sk4,sk3)
    | ( sk4 = nil ) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_3583,plain,
    ! [X0: $i] :
      ( ( sk4 = nil )
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0)
      | ( nil != nil )
      | ( X0 != sk3 ) ),
    inference(resolution_lifted,[status(thm)],[c_436,c_437]) ).

tcf(c_3584,plain,
    ( ( sk4 = nil )
    | ~ ssList(sk3)
    | ~ segmentP(sk4,sk3)
    | ~ segmentP(sk3,sk3) ),
    inference(unflattening,[status(thm)],[c_3583]) ).

tcf(c_3585,plain,
    ( ( sk4 = nil )
    | ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(global_subsumption_just,[status(thm)],[c_3584,c_433,c_3584]) ).

tcf(c_3586,plain,
    ( ( sk4 = nil )
    | ~ segmentP(sk4,sk3)
    | ~ segmentP(sk3,sk3) ),
    inference(renaming,[status(thm)],[c_3585]) ).

tcf(c_3685,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ( X0 != nil )
      | ( X0 != sk4 ) ),
    inference(resolution_lifted,[status(thm)],[c_360,c_435]) ).

tcf(c_3686,plain,
    ( ~ ssList(sk4)
    | ( sk4 != nil ) ),
    inference(unflattening,[status(thm)],[c_3685]) ).

tcf(c_3687,plain,
    sk4 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3686,c_434,c_3686]) ).

tcf(c_3692,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ segmentP(sk3,sk3) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3586,c_3687]) ).

tcf(c_3701,plain,
    frontsegP(sk4,sk3),
    inference(backward_subsumption_resolution,[status(thm)],[c_438,c_3687]) ).

tcf(c_6633,plain,
    frontsegP(sk4,sk3),
    inference(demodulation,[status(thm)],[c_3701]) ).

tcf(c_6635,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ segmentP(sk3,sk3) ),
    inference(demodulation,[status(thm)],[c_3692]) ).

tcf(c_6639,negated_conjecture,
    ssList(sk4),
    inference(demodulation,[status(thm)],[c_434]) ).

tcf(c_6640,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_433]) ).

tcf(c_9200,plain,
    ( ~ ssList(sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(superposition,[status(thm)],[c_302,c_6635]) ).

tcf(c_9201,plain,
    ~ segmentP(sk4,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_9200,c_6640]) ).

tcf(c_9461,plain,
    app(nil,sk3) = sk3,
    inference(superposition,[status(thm)],[c_6640,c_319]) ).

tcf(c_12456,plain,
    ( ( app(sk3,skaf45(sk4,sk3)) = sk4 )
    | ~ ssList(sk4)
    | ~ ssList(sk3) ),
    inference(superposition,[status(thm)],[c_6633,c_377]) ).

tcf(c_12493,plain,
    app(sk3,skaf45(sk4,sk3)) = sk4,
    inference(forward_subsumption_resolution,[status(thm)],[c_12456,c_6639,c_6640]) ).

tcf(c_18987,plain,
    ! [X0: $i] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0)
      | ~ ssList(app(app(nil,sk3),X0)) ),
    inference(superposition,[status(thm)],[c_9461,c_418]) ).

tcf(c_19007,plain,
    ! [X0: $i] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0)
      | ~ ssList(app(sk3,X0)) ),
    inference(light_normalisation,[status(thm)],[c_18987,c_9461]) ).

tcf(c_19008,plain,
    ! [X0: $i] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(X0)
      | ~ ssList(app(sk3,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_19007,c_253,c_6640]) ).

tcf(c_19441,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(skaf45(sk4,sk3))
    | ~ ssList(app(sk3,skaf45(sk4,sk3))) ),
    inference(superposition,[status(thm)],[c_12493,c_19008]) ).

tcf(c_19447,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(skaf45(sk4,sk3)) ),
    inference(light_normalisation,[status(thm)],[c_19441,c_12493]) ).

tcf(c_19448,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_19447,c_9201,c_6639,c_296]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n001.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 16:24:24 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  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
% 0.13/0.40  
% 0.13/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40  
% 0.13/0.40  % Detected problem language: tptp
% 0.13/0.41  % Proving...
% 8.65/2.27  % SZS status Started for theBenchmark.p
% 8.65/2.27  % SZS status Unsatisfiable for theBenchmark.p
% 8.65/2.27  
% 8.65/2.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.65/2.27  
% 8.65/2.27  % ------  iProver source info
% 8.65/2.27  
% 8.65/2.27  % git: date: 2026-07-19 20:42:38 +0200
% 8.65/2.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.65/2.27  % git: non_committed_changes: false
% 8.65/2.27  
% 8.65/2.27  % ------ Parsing...% successful
% 8.65/2.27  
% 8.65/2.27  
% 8.65/2.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 8.65/2.27  
% 8.65/2.27  % ------ 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 % 
% 8.65/2.27  
% 8.65/2.27  % ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 8.65/2.27  
% 8.65/2.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.65/2.27  % ------ Proving...
% 8.65/2.27  % ------ Problem Properties 
% 8.65/2.27  
% 8.65/2.27  % 
% 8.65/2.27  % clauses                               185
% 8.65/2.27  % conjectures                           2
% 8.65/2.27  % EPR                                   60
% 8.65/2.27  % Horn                                  157
% 8.65/2.27  % unary                                 63
% 8.65/2.27  % binary                                23
% 8.65/2.27  % lits                                  554
% 8.65/2.27  % lits eq                               72
% 8.65/2.27  % fd_pure                               0
% 8.65/2.27  % fd_pseudo                             0
% 8.65/2.27  % fd_cond                               16
% 8.65/2.27  % fd_pseudo_cond                        14
% 8.65/2.27  % AC symbols                            0
% 8.65/2.27  
% 8.65/2.27  % ------ Schedule dynamic 5 is on 
% 8.65/2.27  
% 8.65/2.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.65/2.27  
% 8.65/2.27  
% 8.65/2.27  % ------ 
% 8.65/2.27  % Current options:
% 8.65/2.27  % ------ 
% 8.65/2.27  
% 8.65/2.27  
% 8.65/2.27  % 
% 8.65/2.27  
% 8.65/2.27  % ------ Proving...
% 8.65/2.27  % 
% 8.65/2.27  
% 8.65/2.27  % SZS status Unsatisfiable for theBenchmark.p
% 8.65/2.27  
% 8.65/2.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.65/2.27  
% 8.65/2.27  
%------------------------------------------------------------------------------