TSTP Solution File: SCT020-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT020-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:22:39 EDT 2023
% Result : Unsatisfiable 36.25s 5.64s
% Output : Refutation 36.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 56 ( 15 unt; 0 def)
% Number of atoms : 141 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 152 ( 67 ~; 82 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-5 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 75 (; 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114020,plain,
$false,
inference(avatar_sat_refutation,[],[f4436,f4440,f4451,f114017]) ).
fof(f114017,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f114016]) ).
fof(f114016,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f114013,f1276]) ).
fof(f1276,plain,
! [X1] : ~ c_FunDef_Oin__rel(v_F(v_P),X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
inference(forward_literal_rewriting,[],[f1274,f591]) ).
fof(f591,axiom,
! [X10,X0,X1,X6,X12] :
( ~ c_FunDef_Oin__rel(X12,X1,X10,X0,X6)
| hBOOL(c_in(c_Pair(X1,X10,X0,X6),X12,tc_prod(X0,X6))) ),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_in__rel__def_0) ).
fof(f1274,plain,
! [X1] : ~ hBOOL(c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(resolution,[],[f1198,f672]) ).
fof(f672,axiom,
! [X2,X0,X1] :
( ~ c_Relation_Oirrefl(X2,X0)
| ~ hBOOL(c_in(c_Pair(X1,X1,X0,X0),X2,tc_prod(X0,X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_irrefl__def_0) ).
fof(f1198,plain,
c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt),
inference(subsumption_resolution,[],[f1197,f679]) ).
fof(f679,axiom,
! [X1] : c_Relation_Otrans(hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_conjecture_0) ).
fof(f1197,plain,
( ~ c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(subsumption_resolution,[],[f1133,f680]) ).
fof(f680,axiom,
! [X1] : c_Relation_Oirrefl(hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_conjecture_1) ).
fof(f1133,plain,
( ~ c_Relation_Oirrefl(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(resolution,[],[f685,f681]) ).
fof(f681,axiom,
! [X1] : c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_conjecture_2) ).
fof(f685,axiom,
! [X23] :
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X23,hAPP(v_x,X23)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(X23,hAPP(v_x,X23)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(X23,hAPP(v_x,X23)),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Oirrefl(v_F(X23),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_conjecture_6) ).
fof(f114013,plain,
( c_FunDef_Oin__rel(v_F(v_P),v_b,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| ~ spl0_8 ),
inference(resolution,[],[f105255,f4450]) ).
fof(f4450,plain,
( c_FunDef_Oin__rel(v_F(v_P),v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f4449]) ).
fof(f4449,plain,
( spl0_8
<=> c_FunDef_Oin__rel(v_F(v_P),v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f105255,plain,
! [X0] :
( ~ c_FunDef_Oin__rel(v_F(v_P),X0,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| c_FunDef_Oin__rel(v_F(v_P),X0,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(resolution,[],[f974,f722]) ).
fof(f722,plain,
c_FunDef_Oin__rel(v_F(v_P),v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
inference(forward_literal_rewriting,[],[f682,f590]) ).
fof(f590,axiom,
! [X10,X0,X1,X6,X12] :
( c_FunDef_Oin__rel(X12,X1,X10,X0,X6)
| ~ hBOOL(c_in(c_Pair(X1,X10,X0,X6),X12,tc_prod(X0,X6))) ),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_in__rel__def_1) ).
fof(f682,axiom,
hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_conjecture_3) ).
fof(f974,plain,
! [X3,X4,X5] :
( ~ c_FunDef_Oin__rel(v_F(v_P),X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| c_FunDef_Oin__rel(v_F(v_P),X3,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_FunDef_Oin__rel(v_F(v_P),X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(forward_literal_rewriting,[],[f973,f590]) ).
fof(f973,plain,
! [X3,X4,X5] :
( ~ c_FunDef_Oin__rel(v_F(v_P),X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_FunDef_Oin__rel(v_F(v_P),X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| hBOOL(c_in(c_Pair(X3,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(forward_literal_rewriting,[],[f972,f591]) ).
fof(f972,plain,
! [X3,X4,X5] :
( ~ c_FunDef_Oin__rel(v_F(v_P),X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| ~ hBOOL(c_in(c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(X3,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(forward_literal_rewriting,[],[f963,f591]) ).
fof(f963,plain,
! [X3,X4,X5] :
( ~ hBOOL(c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ hBOOL(c_in(c_Pair(X4,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(X3,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(resolution,[],[f880,f670]) ).
fof(f670,axiom,
! [X2,X10,X0,X1,X18] :
( ~ c_Relation_Otrans(X2,X0)
| ~ hBOOL(c_in(c_Pair(X1,X10,X0,X0),X2,tc_prod(X0,X0)))
| ~ hBOOL(c_in(c_Pair(X10,X18,X0,X0),X2,tc_prod(X0,X0)))
| hBOOL(c_in(c_Pair(X1,X18,X0,X0),X2,tc_prod(X0,X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_trans__def_0) ).
fof(f880,plain,
c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt),
inference(subsumption_resolution,[],[f879,f679]) ).
fof(f879,plain,
( ~ c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(subsumption_resolution,[],[f815,f680]) ).
fof(f815,plain,
( ~ c_Relation_Oirrefl(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(resolution,[],[f684,f681]) ).
fof(f684,axiom,
! [X23] :
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X23,hAPP(v_x,X23)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(X23,hAPP(v_x,X23)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(X23,hAPP(v_x,X23)),tc_Arrow__Order__Mirabelle_Oalt)
| c_Relation_Otrans(v_F(X23),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_conjecture_5) ).
fof(f4451,plain,
( spl0_8
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f4441,f4434,f4431,f4449]) ).
fof(f4431,plain,
( spl0_6
<=> v_a = v_b ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f4434,plain,
( spl0_7
<=> c_FunDef_Oin__rel(hAPP(v_P,v_i),v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f4441,plain,
( v_a = v_b
| c_FunDef_Oin__rel(v_F(v_P),v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| ~ spl0_7 ),
inference(resolution,[],[f4435,f1680]) ).
fof(f1680,plain,
! [X0,X1] :
( ~ c_FunDef_Oin__rel(hAPP(v_P,v_i),X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X0 = X1
| c_FunDef_Oin__rel(v_F(v_P),X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(subsumption_resolution,[],[f1679,f679]) ).
fof(f1679,plain,
! [X0,X1] :
( c_FunDef_Oin__rel(v_F(v_P),X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X0 = X1
| ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_FunDef_Oin__rel(hAPP(v_P,v_i),X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(subsumption_resolution,[],[f1619,f680]) ).
fof(f1619,plain,
! [X0,X1] :
( c_FunDef_Oin__rel(v_F(v_P),X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X0 = X1
| ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_FunDef_Oin__rel(hAPP(v_P,v_i),X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(resolution,[],[f725,f681]) ).
fof(f725,plain,
! [X9,X15,X5] :
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| c_FunDef_Oin__rel(v_F(X15),X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X5 = X9
| ~ c_Relation_Oirrefl(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_FunDef_Oin__rel(hAPP(X15,v_i),X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) ),
inference(forward_literal_rewriting,[],[f724,f591]) ).
fof(f724,plain,
! [X9,X15,X5] :
( c_FunDef_Oin__rel(v_F(X15),X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X5 = X9
| ~ c_Relation_Oirrefl(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X15,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(forward_literal_rewriting,[],[f687,f590]) ).
fof(f687,axiom,
! [X9,X15,X5] :
( X5 = X9
| ~ c_Relation_Oirrefl(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X15),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ hBOOL(c_in(c_Pair(X5,X9,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X15,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_conjecture_8) ).
fof(f4435,plain,
( c_FunDef_Oin__rel(hAPP(v_P,v_i),v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f4434]) ).
fof(f4440,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f4439]) ).
fof(f4439,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f4438,f1276]) ).
fof(f4438,plain,
( c_FunDef_Oin__rel(v_F(v_P),v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| ~ spl0_6 ),
inference(superposition,[],[f722,f4432]) ).
fof(f4432,plain,
( v_a = v_b
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f4431]) ).
fof(f4436,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f4415,f4434,f4431]) ).
fof(f4415,plain,
( c_FunDef_Oin__rel(hAPP(v_P,v_i),v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| v_a = v_b ),
inference(resolution,[],[f803,f723]) ).
fof(f723,plain,
~ c_FunDef_Oin__rel(hAPP(v_P,v_i),v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
inference(forward_literal_rewriting,[],[f683,f591]) ).
fof(f683,axiom,
~ hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_conjecture_4) ).
fof(f803,plain,
! [X2,X0,X1] :
( c_FunDef_Oin__rel(hAPP(v_P,X2),X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| c_FunDef_Oin__rel(hAPP(v_P,X2),X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X0 = X1 ),
inference(forward_literal_rewriting,[],[f802,f590]) ).
fof(f802,plain,
! [X2,X0,X1] :
( c_FunDef_Oin__rel(hAPP(v_P,X2),X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X0 = X1
| hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(forward_literal_rewriting,[],[f801,f590]) ).
fof(f801,plain,
! [X2,X0,X1] :
( X0 = X1
| hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(subsumption_resolution,[],[f800,f675]) ).
fof(f675,axiom,
! [X0,X1] : hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_UNIV__I_0) ).
fof(f800,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
| hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(subsumption_resolution,[],[f787,f675]) ).
fof(f787,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ hBOOL(c_in(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
| ~ hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
| hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(resolution,[],[f681,f676]) ).
fof(f676,axiom,
! [X2,X0,X1,X4,X23] :
( X1 = X23
| ~ c_Relation_Ototal__on(X4,X2,X0)
| ~ hBOOL(c_in(X1,X4,X0))
| ~ hBOOL(c_in(X23,X4,X0))
| hBOOL(c_in(c_Pair(X1,X23,X0,X0),X2,tc_prod(X0,X0)))
| hBOOL(c_in(c_Pair(X23,X1,X0,X0),X2,tc_prod(X0,X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165',cls_total__on__def_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.16/0.20 % Problem : SCT020-1 : TPTP v8.1.2. Released v4.1.0.
% 0.16/0.21 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.21/0.43 % Computer : n019.cluster.edu
% 0.21/0.43 % Model : x86_64 x86_64
% 0.21/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.43 % Memory : 8042.1875MB
% 0.21/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.43 % CPULimit : 300
% 0.21/0.43 % WCLimit : 300
% 0.21/0.43 % DateTime : Thu Aug 24 16:18:59 EDT 2023
% 0.21/0.43 % CPUTime :
% 0.21/0.43 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.21/0.43 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.Km5A11evr8/Vampire---4.8_26165
% 0.21/0.44 % (26286)Running in auto input_syntax mode. Trying TPTP
% 0.30/0.51 % (26291)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.30/0.53 % (26288)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.30/0.53 % (26289)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.30/0.54 % (26290)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.30/0.54 % (26293)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.30/0.54 % (26292)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.30/0.54 % (26294)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 34.81/5.63 % (26290)First to succeed.
% 36.25/5.64 % (26290)Refutation found. Thanks to Tanya!
% 36.25/5.64 % SZS status Unsatisfiable for Vampire---4
% 36.25/5.64 % SZS output start Proof for Vampire---4
% See solution above
% 36.25/5.65 % (26290)------------------------------
% 36.25/5.65 % (26290)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 36.25/5.65 % (26290)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 36.25/5.65 % (26290)Termination reason: Refutation
% 36.25/5.65
% 36.25/5.65 % (26290)Memory used [KB]: 88399
% 36.25/5.65 % (26290)Time elapsed: 5.094 s
% 36.25/5.65 % (26290)------------------------------
% 36.25/5.65 % (26290)------------------------------
% 36.25/5.65 % (26286)Success in time 5.191 s
% 36.25/5.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------