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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC324-1 : 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 03:09:18 PM UTC 2026

% Result   : Unsatisfiable 10.50s 5.34s
% Output   : CNFRefutation 10.50s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f241ERROR: Could not build tree for root c_35790ERROR: MakeTreeStats fails)

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

fof(f9,axiom,
    ssItem(skac3),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause9) ).

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

fof(f72,axiom,
    ! [X0,X1] :
      ( ssItem(X1)
      | duplicatefreeP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).

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

fof(f77,axiom,
    ! [X0] :
      ( nil = X0
      | ssList(tl(X0))
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).

fof(f78,axiom,
    ! [X0] :
      ( nil = X0
      | ssItem(hd(X0))
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).

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

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

fof(f107,axiom,
    ! [X0] :
      ( nil = X0
      | cons(hd(X0),tl(X0)) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).

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(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(f193,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(X4)
      | ~ duplicatefreeP(X4)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).

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,
    ! [X0,X1] :
      ( app(X1,X0) != sk1
      | app(X0,X1) != sk2
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ! [X0,X1] :
      ( app(cons(X0,nil),X1) != sk4
      | app(X1,cons(X0,nil)) = sk3
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,plain,
    ! [X0,X1] :
      ( app(cons(X0,nil),X1) != sk4
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(reorient_equations,[],[f207]) ).

fof(f209,negated_conjecture,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f212,plain,
    ! [X0,X1] :
      ( app(X1,X0) != sk3
      | app(X0,X1) != sk4
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f206,f204,f205]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f155]) ).

fof(f230,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(equality_resolution,[],[f193]) ).

tcf(c_250,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_251,plain,
    ssItem(skac3),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_293,plain,
    ! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_314,plain,
    ! [X0: $i,X1: $i] :
      ( duplicatefreeP(X0)
      | ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_316,plain,
    ! [X0: $i] :
      ( ( app(nil,X0) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_319,plain,
    ! [X0: $i] :
      ( ssList(tl(X0))
      | ( X0 = nil )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_320,plain,
    ! [X0: $i] :
      ( ssItem(hd(X0))
      | ( X0 = nil )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_327,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_328,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_346,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ( cons(hd(X0),tl(X0)) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_374,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(X1,skaf45(X0,X1)) = X0 )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_386,plain,
    ! [X0: $i,X1: $i] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_387,plain,
    ( ( app(nil,nil) = nil )
    | ~ ssList(nil) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( frontsegP(cons(X2,X0),cons(X2,X1))
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ssItem(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_430,negated_conjecture,
    ssList(sk3),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_431,negated_conjecture,
    ssList(sk4),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ( app(X1,X0) != sk3 )
      | ( app(X0,X1) != sk4 ) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ( app(X1,cons(X0,nil)) = sk3 )
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ( app(cons(X0,nil),X1) != sk4 ) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_434,negated_conjecture,
    ( ( sk3 = nil )
    | ( sk4 != nil ) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_550,plain,
    app(nil,nil) = nil,
    inference(global_subsumption_just,[status(thm)],[c_387,c_250,c_387]) ).

tcf(c_916,plain,
    ( ~ ssList(nil)
    | ( sk4 != nil )
    | ( app(nil,nil) != sk3 ) ),
    inference(superposition,[status(thm)],[c_550,c_432]) ).

tcf(c_917,plain,
    ( ( app(nil,nil) != sk3 )
    | ( sk4 != nil ) ),
    inference(global_subsumption_just,[status(thm)],[c_916,c_250,c_916]) ).

tcf(c_918,plain,
    ( ( sk4 != nil )
    | ( app(nil,nil) != sk3 ) ),
    inference(renaming,[status(thm)],[c_917]) ).

tcf(c_919,plain,
    ( ( sk4 != nil )
    | ( sk3 != nil ) ),
    inference(superposition,[status(thm)],[c_550,c_918]) ).

tcf(c_920,plain,
    sk4 != nil,
    inference(global_subsumption_just,[status(thm)],[c_919,c_434,c_919]) ).

tcf(c_1873,plain,
    ( ssList(tl(sk4))
    | ( sk4 = nil )
    | ~ ssList(sk4) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_1874,plain,
    ( ssItem(hd(sk4))
    | ( sk4 = nil )
    | ~ ssList(sk4) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_2450,plain,
    ( ( sk4 = nil )
    | ( cons(hd(sk4),tl(sk4)) = sk4 )
    | ~ ssList(sk4) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_3309,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ ssList(skaf45(sk4,X0))
      | ( app(X0,skaf45(sk4,X0)) != sk4 )
      | ( app(skaf45(sk4,X0),X0) != sk3 ) ),
    inference(instantiation,[status(thm)],[c_432]) ).

tcf(c_3310,plain,
    ! [X0: $i] :
      ( ( app(X0,skaf45(sk4,X0)) = sk4 )
      | ~ ssList(sk4)
      | ~ ssList(X0)
      | ~ frontsegP(sk4,X0) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_3352,plain,
    ! [X0: $i,X1: $i] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_386,c_327]) ).

tcf(c_3471,plain,
    ! [X0: $i] :
      ( ( app(X0,cons(hd(sk4),nil)) = sk3 )
      | ~ ssList(X0)
      | ~ ssItem(hd(sk4))
      | ( app(cons(hd(sk4),nil),X0) != sk4 ) ),
    inference(instantiation,[status(thm)],[c_433]) ).

tcf(c_3488,plain,
    ! [X0: $i] :
      ( ssList(cons(hd(sk4),X0))
      | ~ ssList(X0)
      | ~ ssItem(hd(sk4)) ),
    inference(instantiation,[status(thm)],[c_328]) ).

tcf(c_3495,plain,
    ( ssList(cons(hd(sk4),nil))
    | ~ ssList(nil)
    | ~ ssItem(hd(sk4)) ),
    inference(instantiation,[status(thm)],[c_3488]) ).

tcf(c_3515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssItem(X4)
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
    inference(resolution,[status(thm)],[c_421,c_314]) ).

tcf(c_3558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssItem(X4)
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(cons(X1,X3))
      | ~ ssList(app(X0,cons(X1,X2))) ),
    inference(resolution,[status(thm)],[c_3515,c_327]) ).

tcf(c_3572,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssItem(X4)
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(app(X0,cons(X1,X2))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3558,c_328]) ).

tcf(c_3591,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssItem(X4)
      | ~ ssItem(X0)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(cons(X0,X1)) ),
    inference(resolution,[status(thm)],[c_3572,c_327]) ).

tcf(c_3598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssItem(X4)
      | ~ ssItem(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3591,c_328]) ).

tcf(c_3620,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssItem(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[status(thm)],[c_3598,c_251]) ).

tcf(c_3698,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(resolution,[status(thm)],[c_3620,c_430]) ).

tcf(c_3991,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( frontsegP(cons(X2,X0),cons(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_420,c_3698]) ).

tcf(c_5528,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ( app(nil,tl(X0)) = tl(X0) )
      | ~ ssList(X0) ),
    inference(superposition,[status(thm)],[c_319,c_316]) ).

tcf(c_5813,plain,
    ( ( sk4 = nil )
    | ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
    inference(superposition,[status(thm)],[c_431,c_346]) ).

tcf(c_5880,plain,
    cons(hd(sk4),tl(sk4)) = sk4,
    inference(global_subsumption_just,[status(thm)],[c_5813,c_431,c_920,c_2450]) ).

tcf(c_6069,plain,
    ! [X0: $i,X1: $i] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_386,c_3352]) ).

tcf(c_7233,plain,
    ( ( sk4 = nil )
    | ( app(nil,tl(sk4)) = tl(sk4) ) ),
    inference(superposition,[status(thm)],[c_431,c_5528]) ).

tcf(c_7631,plain,
    app(nil,tl(sk4)) = tl(sk4),
    inference(global_subsumption_just,[status(thm)],[c_7233,c_434,c_919,c_7233]) ).

tcf(c_7635,plain,
    ( frontsegP(tl(sk4),nil)
    | ~ ssList(nil)
    | ~ ssList(tl(sk4)) ),
    inference(superposition,[status(thm)],[c_7631,c_6069]) ).

tcf(c_10196,plain,
    ( ( app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) = sk4 )
    | ~ ssList(sk4)
    | ~ ssList(cons(hd(sk4),nil))
    | ~ frontsegP(sk4,cons(hd(sk4),nil)) ),
    inference(instantiation,[status(thm)],[c_3310]) ).

tcf(c_10197,plain,
    ( ( app(skaf45(sk4,cons(hd(sk4),nil)),cons(hd(sk4),nil)) = sk3 )
    | ~ ssItem(hd(sk4))
    | ~ ssList(skaf45(sk4,cons(hd(sk4),nil)))
    | ( app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) != sk4 ) ),
    inference(instantiation,[status(thm)],[c_3471]) ).

tcf(c_10378,plain,
    ! [X0: $i] : ssList(skaf45(sk4,X0)),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_11367,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( frontsegP(cons(X2,X0),cons(X2,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_420,c_3991]) ).

tcf(c_11368,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( frontsegP(cons(X2,X0),cons(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(renaming,[status(thm)],[c_11367]) ).

tcf(c_11369,plain,
    ! [X0: $i] :
      ( frontsegP(sk4,cons(hd(sk4),X0))
      | ~ ssList(X0)
      | ~ ssList(tl(sk4))
      | ~ frontsegP(tl(sk4),X0) ),
    inference(superposition,[status(thm)],[c_5880,c_11368]) ).

tcf(c_11391,plain,
    ( frontsegP(sk4,cons(hd(sk4),nil))
    | ~ ssList(nil)
    | ~ ssList(tl(sk4))
    | ~ frontsegP(tl(sk4),nil) ),
    inference(instantiation,[status(thm)],[c_11369]) ).

tcf(c_18636,plain,
    ssList(skaf45(sk4,cons(hd(sk4),nil))),
    inference(instantiation,[status(thm)],[c_10378]) ).

tcf(c_18637,plain,
    ! [X0: $i] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssList(skaf45(sk4,cons(X0,nil)))
      | ( app(cons(X0,nil),skaf45(sk4,cons(X0,nil))) != sk4 )
      | ( app(skaf45(sk4,cons(X0,nil)),cons(X0,nil)) != sk3 ) ),
    inference(instantiation,[status(thm)],[c_3309]) ).

tcf(c_35789,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(skaf45(sk4,cons(hd(sk4),nil)))
    | ( app(cons(hd(sk4),nil),skaf45(sk4,cons(hd(sk4),nil))) != sk4 )
    | ( app(skaf45(sk4,cons(hd(sk4),nil)),cons(hd(sk4),nil)) != sk3 ) ),
    inference(instantiation,[status(thm)],[c_18637]) ).

tcf(c_35790,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_35789,c_18636,c_11391,c_10197,c_10196,c_7635,c_3495,c_1874,c_1873,c_920,c_250,c_431]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC324-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38  % Computer : n014.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Thu Sep 24 17:37:49 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 0.12/0.43  
% 0.12/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43  
% 0.12/0.43  % Detected problem language: tptp
% 0.12/0.44  % Proving...
% 10.50/5.34  % SZS status Started for theBenchmark.p
% 10.50/5.34  % SZS status Unsatisfiable for theBenchmark.p
% 10.50/5.34  
% 10.50/5.34  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.50/5.34  
% 10.50/5.34  % ------  iProver source info
% 10.50/5.34  
% 10.50/5.34  % git: date: 2026-07-19 20:42:38 +0200
% 10.50/5.34  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.50/5.34  % git: non_committed_changes: false
% 10.50/5.34  
% 10.50/5.34  % ------ Parsing...% successful
% 10.50/5.34  
% 10.50/5.34  
% 10.50/5.34  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.50/5.34  
% 10.50/5.34  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e % 
% 10.50/5.34  
% 10.50/5.34  % ------ Preprocessing...% 
% 10.50/5.34  
% 10.50/5.34  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.50/5.34  % ------ Proving...
% 10.50/5.34  % ------ Problem Properties 
% 10.50/5.34  
% 10.50/5.34  % 
% 10.50/5.34  % clauses                               184
% 10.50/5.34  % conjectures                           17
% 10.50/5.34  % EPR                                   57
% 10.50/5.34  % Horn                                  154
% 10.50/5.34  % unary                                 60
% 10.50/5.34  % binary                                22
% 10.50/5.34  % lits                                  563
% 10.50/5.34  % lits eq                               77
% 10.50/5.34  % fd_pure                               0
% 10.50/5.34  % fd_pseudo                             0
% 10.50/5.34  % fd_cond                               15
% 10.50/5.34  % fd_pseudo_cond                        16
% 10.50/5.34  % AC symbols                            0
% 10.50/5.34  
% 10.50/5.34  % ------ Input Options Time Limit: Unbounded
% 10.50/5.34  
% 10.50/5.34  
% 10.50/5.34  % ------ 
% 10.50/5.34  % Current options:
% 10.50/5.34  % ------ 
% 10.50/5.34  
% 10.50/5.34  
% 10.50/5.34  % 
% 10.50/5.34  
% 10.50/5.34  % ------ Proving...
% 10.50/5.34  % 
% 10.50/5.34  
% 10.50/5.34  % SZS status Unsatisfiable for theBenchmark.p
% 10.50/5.34  
% 10.50/5.34  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.50/5.34  
% 10.50/5.34  
%------------------------------------------------------------------------------