↑ Up

iProver---3.9.4.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC092-1 : 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 : n016.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 03:07:51 PM UTC 2026

% Result   : Unsatisfiable 1.98s 1.74s
% Output   : CNFRefutation 1.98s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f244ERROR: Could not build tree for root c_19082ERROR: MakeTreeStats fails)

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

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(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(f186,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ segmentP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause172) ).

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,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f210,plain,
    sk4 = app(sk3,sk5),
    inference(reorient_equations,[],[f209]) ).

fof(f214,negated_conjecture,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

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

fof(f218,plain,
    ! [X0] :
      ( ~ segmentP(sk3,X0)
      | ~ segmentP(sk4,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f207,f204,f205]) ).

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

tcf(c_303,plain,
    ! [X0: $i] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_320,plain,
    ! [X0: $i] :
      ( ( app(nil,X0) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f74]) ).

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_418,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f186]) ).

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,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0)
      | ~ neq(X0,nil) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_438,negated_conjecture,
    ssList(sk5),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_439,negated_conjecture,
    app(sk3,sk5) = sk4,
    inference(cnf_transformation,[],[f210]) ).

tcf(c_442,negated_conjecture,
    ( ( sk4 = nil )
    | ( sk3 != nil ) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_3017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0)
      | ( X2 != nil )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_437,c_346]) ).

tcf(c_3018,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(unflattening,[status(thm)],[c_3017]) ).

tcf(c_3020,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ~ segmentP(sk3,X0)
      | ~ segmentP(sk4,X0)
      | ~ ssList(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_3018,c_254,c_3018]) ).

tcf(c_3021,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(renaming,[status(thm)],[c_3020]) ).

tcf(c_3060,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ( X0 != nil )
      | ( X0 != sk4 ) ),
    inference(resolution_lifted,[status(thm)],[c_361,c_436]) ).

tcf(c_3061,plain,
    ( ~ ssList(sk4)
    | ( sk4 != nil ) ),
    inference(unflattening,[status(thm)],[c_3060]) ).

tcf(c_3062,plain,
    sk4 != nil,
    inference(global_subsumption_just,[status(thm)],[c_3061,c_435,c_3061]) ).

tcf(c_3074,plain,
    sk3 != nil,
    inference(backward_subsumption_resolution,[status(thm)],[c_442,c_3062]) ).

tcf(c_6612,definition,
    iPr_def_12 = app(sk3,sk5),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_6613,plain,
    sk3 != nil,
    inference(demodulation,[status(thm)],[c_3074]) ).

tcf(c_6616,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(demodulation,[status(thm)],[c_3021]) ).

tcf(c_6619,negated_conjecture,
    iPr_def_12 = sk4,
    inference(demodulation,[status(thm)],[c_439,c_6612]) ).

tcf(c_6620,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_438]) ).

tcf(c_6622,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_434]) ).

tcf(c_9187,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ~ ssList(X0)
      | ~ segmentP(iPr_def_12,X0)
      | ~ segmentP(sk3,X0) ),
    inference(light_normalisation,[status(thm)],[c_6616,c_6619]) ).

tcf(c_9221,plain,
    ( ( sk3 = nil )
    | ~ ssList(sk3)
    | ~ segmentP(iPr_def_12,sk3) ),
    inference(superposition,[status(thm)],[c_303,c_9187]) ).

tcf(c_9222,plain,
    ~ segmentP(iPr_def_12,sk3),
    inference(forward_subsumption_resolution,[status(thm)],[c_9221,c_6613,c_6622]) ).

tcf(c_9481,plain,
    app(nil,sk3) = sk3,
    inference(superposition,[status(thm)],[c_6622,c_320]) ).

tcf(c_18565,plain,
    ! [X0: $i,X1: $i] :
      ( segmentP(app(sk3,X1),X0)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(sk3,X0) ),
    inference(superposition,[status(thm)],[c_9481,c_418]) ).

tcf(c_18594,plain,
    ! [X0: $i,X1: $i] :
      ( segmentP(app(sk3,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(sk3,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18565,c_254,c_6622]) ).

tcf(c_19005,plain,
    ! [X0: $i] :
      ( segmentP(iPr_def_12,X0)
      | ~ ssList(sk5)
      | ~ ssList(X0)
      | ~ segmentP(sk3,X0) ),
    inference(superposition,[status(thm)],[c_6612,c_18594]) ).

tcf(c_19010,plain,
    ! [X0: $i] :
      ( segmentP(iPr_def_12,X0)
      | ~ ssList(X0)
      | ~ segmentP(sk3,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_19005,c_6620]) ).

tcf(c_19081,plain,
    ( segmentP(iPr_def_12,sk3)
    | ~ ssList(sk3) ),
    inference(superposition,[status(thm)],[c_303,c_19010]) ).

tcf(c_19082,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_19081,c_9222,c_6622]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC092-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n016.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 16:25:58 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 1.98/1.74  % SZS status Started for theBenchmark.p
% 1.98/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.74  
% 1.98/1.74  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.98/1.74  
% 1.98/1.74  % ------  iProver source info
% 1.98/1.74  
% 1.98/1.74  % git: date: 2026-07-19 20:42:38 +0200
% 1.98/1.74  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.98/1.74  % git: non_committed_changes: false
% 1.98/1.74  
% 1.98/1.74  % ------ Parsing...% successful
% 1.98/1.74  
% 1.98/1.74  
% 1.98/1.74  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.98/1.74  
% 1.98/1.74  % ------ 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 % 
% 1.98/1.74  
% 1.98/1.74  % ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.98/1.74  
% 1.98/1.74  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.98/1.74  % ------ Proving...
% 1.98/1.74  % ------ Problem Properties 
% 1.98/1.74  
% 1.98/1.74  % 
% 1.98/1.74  % clauses                               188
% 1.98/1.74  % conjectures                           6
% 1.98/1.74  % EPR                                   61
% 1.98/1.74  % Horn                                  160
% 1.98/1.74  % unary                                 66
% 1.98/1.74  % binary                                22
% 1.98/1.74  % lits                                  562
% 1.98/1.74  % lits eq                               76
% 1.98/1.74  % fd_pure                               0
% 1.98/1.74  % fd_pseudo                             0
% 1.98/1.74  % fd_cond                               16
% 1.98/1.74  % fd_pseudo_cond                        14
% 1.98/1.74  % AC symbols                            0
% 1.98/1.74  
% 1.98/1.74  % ------ Schedule dynamic 5 is on 
% 1.98/1.74  
% 1.98/1.74  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.98/1.74  
% 1.98/1.74  
% 1.98/1.74  % ------ 
% 1.98/1.74  % Current options:
% 1.98/1.74  % ------ 
% 1.98/1.74  
% 1.98/1.74  
% 1.98/1.74  % 
% 1.98/1.74  
% 1.98/1.74  % ------ Proving...
% 1.98/1.74  % 
% 1.98/1.74  
% 1.98/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.74  
% 1.98/1.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.98/1.74  
% 1.98/1.74  
%------------------------------------------------------------------------------