TSTP Solution File: SCT020-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SCT020-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 : Wed Aug 31 18:16:19 EDT 2022
% Result : Unsatisfiable 1.58s 0.60s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 29
% Syntax : Number of formulae : 78 ( 14 unt; 0 def)
% Number of atoms : 185 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 193 ( 86 ~; 92 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f951,plain,
$false,
inference(avatar_sat_refutation,[],[f725,f739,f751,f753,f755,f763,f803,f818,f820,f822,f843,f860,f872,f875,f922,f950]) ).
fof(f950,plain,
( ~ spl0_10
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f949,plain,
( $false
| ~ spl0_10
| spl0_22 ),
inference(resolution,[],[f921,f908]) ).
fof(f908,plain,
( hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ spl0_10 ),
inference(resolution,[],[f790,f678]) ).
fof(f678,axiom,
! [X0,X1,X13] :
( ~ hBOOL(c_in(X1,X13,X0))
| hBOOL(hAPP(X13,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f790,plain,
( hBOOL(c_in(c_Pair(v_b,v_a,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)))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f788,plain,
( spl0_10
<=> hBOOL(c_in(c_Pair(v_b,v_a,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))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f921,plain,
( ~ hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| spl0_22 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f919,plain,
( spl0_22
<=> hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f922,plain,
( ~ spl0_8
| ~ spl0_22
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f914,f722,f919,f760]) ).
fof(f760,plain,
( spl0_8
<=> c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f722,plain,
( spl0_2
<=> ! [X1] :
( ~ hBOOL(c_in(c_Pair(X1,v_a,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(X1,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))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f914,plain,
( ~ hBOOL(hAPP(v_F(v_P),c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
| ~ spl0_2 ),
inference(resolution,[],[f814,f672]) ).
fof(f672,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Pair(X1,X1,X0,X0),X2,tc_prod(X0,X0)))
| ~ c_Relation_Oirrefl(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__def_0) ).
fof(f814,plain,
( ! [X2] :
( hBOOL(c_in(c_Pair(X2,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)))
| ~ hBOOL(hAPP(v_F(v_P),c_Pair(X2,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) )
| ~ spl0_2 ),
inference(resolution,[],[f723,f677]) ).
fof(f677,axiom,
! [X0,X1,X13] :
( hBOOL(c_in(X1,X13,X0))
| ~ hBOOL(hAPP(X13,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f723,plain,
( ! [X1] :
( ~ hBOOL(c_in(c_Pair(X1,v_a,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(X1,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))) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f875,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f873]) ).
fof(f873,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f859,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/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
fof(f859,plain,
( ~ hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
| spl0_18 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f857,plain,
( spl0_18
<=> hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f872,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f870,plain,
( $false
| spl0_17 ),
inference(resolution,[],[f855,f675]) ).
fof(f855,plain,
( ~ hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
| spl0_17 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f853,plain,
( spl0_17
<=> hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f860,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f851,f733,f857,f853]) ).
fof(f733,plain,
( spl0_4
<=> ! [X0] :
( ~ hBOOL(c_in(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_Relation_Ototal__on(X0,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)
| ~ hBOOL(c_in(v_a,X0,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f851,plain,
( ~ hBOOL(c_in(v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
| ~ hBOOL(c_in(v_b,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_4 ),
inference(resolution,[],[f734,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/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f734,plain,
( ! [X0] :
( ~ c_Relation_Ototal__on(X0,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)
| ~ hBOOL(c_in(v_a,X0,tc_Arrow__Order__Mirabelle_Oalt))
| ~ hBOOL(c_in(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f843,plain,
( ~ spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f839,f736,f760]) ).
fof(f736,plain,
( spl0_5
<=> v_a = v_b ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f839,plain,
( ~ c_Relation_Oirrefl(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
| ~ spl0_5 ),
inference(resolution,[],[f823,f672]) ).
fof(f823,plain,
( hBOOL(c_in(c_Pair(v_a,v_a,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)))
| ~ spl0_5 ),
inference(superposition,[],[f682,f738]) ).
fof(f738,plain,
( v_a = v_b
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f736]) ).
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/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f822,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f821]) ).
fof(f821,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f802,f680]) ).
fof(f680,axiom,
! [X1] : c_Relation_Oirrefl(hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f802,plain,
( ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| spl0_13 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f800,plain,
( spl0_13
<=> c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f820,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| spl0_11 ),
inference(resolution,[],[f794,f681]) ).
fof(f794,plain,
( ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| spl0_11 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl0_11
<=> c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f818,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f798,f679]) ).
fof(f679,axiom,
! [X1] : c_Relation_Otrans(hAPP(v_P,X1),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f798,plain,
( ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| spl0_12 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl0_12
<=> c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f803,plain,
( spl0_10
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f783,f729,f800,f796,f792,f736,f788]) ).
fof(f729,plain,
( spl0_3
<=> hBOOL(c_in(c_Pair(v_b,v_a,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))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f783,plain,
( ~ 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_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| v_a = v_b
| hBOOL(c_in(c_Pair(v_b,v_a,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)))
| ~ spl0_3 ),
inference(resolution,[],[f731,f687]) ).
fof(f687,axiom,
! [X9,X15,X5] :
( ~ 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)))
| 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)))
| ~ c_Relation_Otrans(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(X15,v_Pa(X15)),tc_Arrow__Order__Mirabelle_Oalt)
| X5 = X9
| ~ 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f731,plain,
( hBOOL(c_in(c_Pair(v_b,v_a,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)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f763,plain,
( ~ spl0_6
| spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f756,f748,f760,f744]) ).
fof(f744,plain,
( spl0_6
<=> c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f748,plain,
( spl0_7
<=> c_Relation_Oirrefl(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f756,plain,
( ~ c_Relation_Oirrefl(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)
| ~ c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(resolution,[],[f685,f681]) ).
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(v_F(X23),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f755,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f754,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f750,f680]) ).
fof(f750,plain,
( ~ c_Relation_Oirrefl(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| spl0_7 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f753,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f752,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f746,f679]) ).
fof(f746,plain,
( ~ c_Relation_Otrans(hAPP(v_P,hAPP(v_x,v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| spl0_6 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f751,plain,
( ~ spl0_6
| spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f740,f748,f718,f744]) ).
fof(f718,plain,
( spl0_1
<=> c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f740,plain,
( ~ c_Relation_Oirrefl(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)
| ~ c_Relation_Otrans(hAPP(v_P,hAPP(v_x,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(v_F(X23),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(X23,hAPP(v_x,X23)),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f739,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f726,f736,f733,f729]) ).
fof(f726,plain,
! [X0] :
( v_a = v_b
| ~ hBOOL(c_in(v_b,X0,tc_Arrow__Order__Mirabelle_Oalt))
| ~ hBOOL(c_in(v_a,X0,tc_Arrow__Order__Mirabelle_Oalt))
| hBOOL(c_in(c_Pair(v_b,v_a,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)))
| ~ c_Relation_Ototal__on(X0,hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(resolution,[],[f683,f676]) ).
fof(f676,axiom,
! [X2,X0,X1,X4,X23] :
( hBOOL(c_in(c_Pair(X23,X1,X0,X0),X2,tc_prod(X0,X0)))
| ~ hBOOL(c_in(X1,X4,X0))
| ~ hBOOL(c_in(X23,X4,X0))
| X1 = X23
| ~ c_Relation_Ototal__on(X4,X2,X0)
| hBOOL(c_in(c_Pair(X1,X23,X0,X0),X2,tc_prod(X0,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__def_0) ).
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/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f725,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f714,f722,f718]) ).
fof(f714,plain,
! [X0] :
( hBOOL(c_in(c_Pair(X0,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)))
| ~ c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)
| ~ hBOOL(c_in(c_Pair(X0,v_a,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,[],[f682,f671]) ).
fof(f671,axiom,
! [X2,X28,X0,X9,X5] :
( ~ hBOOL(c_in(c_Pair(X9,X28,X0,X0),X2,tc_prod(X0,X0)))
| ~ c_Relation_Otrans(X2,X0)
| ~ hBOOL(c_in(c_Pair(X5,X9,X0,X0),X2,tc_prod(X0,X0)))
| hBOOL(c_in(c_Pair(X5,X28,X0,X0),X2,tc_prod(X0,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_transD_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SCT020-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 11:49:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (3602)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54 % (3586)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (3594)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.55 % (3586)Instruction limit reached!
% 0.19/0.55 % (3586)------------------------------
% 0.19/0.55 % (3586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (3586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (3586)Termination reason: Unknown
% 0.19/0.55 % (3586)Termination phase: Function definition elimination
% 0.19/0.55
% 0.19/0.55 % (3586)Memory used [KB]: 2046
% 0.19/0.55 % (3586)Time elapsed: 0.006 s
% 0.19/0.55 % (3586)Instructions burned: 3 (million)
% 0.19/0.55 % (3586)------------------------------
% 0.19/0.55 % (3586)------------------------------
% 0.19/0.55 % (3594)Instruction limit reached!
% 0.19/0.55 % (3594)------------------------------
% 0.19/0.55 % (3594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (3594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (3594)Termination reason: Unknown
% 0.19/0.55 % (3594)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (3594)Memory used [KB]: 2046
% 0.19/0.55 % (3594)Time elapsed: 0.008 s
% 0.19/0.55 % (3594)Instructions burned: 7 (million)
% 0.19/0.55 % (3594)------------------------------
% 0.19/0.55 % (3594)------------------------------
% 0.19/0.55 % (3583)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.56 % (3608)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.57 % (3584)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.57 % (3600)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.57 % (3592)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.58 % (3592)Instruction limit reached!
% 0.19/0.58 % (3592)------------------------------
% 0.19/0.58 % (3592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (3592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (3592)Termination reason: Unknown
% 0.19/0.58 % (3592)Termination phase: SInE selection
% 0.19/0.58
% 0.19/0.58 % (3592)Memory used [KB]: 1918
% 0.19/0.58 % (3592)Time elapsed: 0.003 s
% 0.19/0.58 % (3592)Instructions burned: 4 (million)
% 0.19/0.58 % (3592)------------------------------
% 0.19/0.58 % (3592)------------------------------
% 0.19/0.58 % (3593)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.58 % (3601)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.58 % (3582)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.45/0.58 % (3604)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.45/0.58 % (3602)Instruction limit reached!
% 1.45/0.58 % (3602)------------------------------
% 1.45/0.58 % (3602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (3607)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.45/0.58 % (3579)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.45/0.59 % (3602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.59 % (3602)Termination reason: Unknown
% 1.45/0.59 % (3602)Termination phase: Saturation
% 1.45/0.59
% 1.45/0.59 % (3602)Memory used [KB]: 2558
% 1.45/0.59 % (3602)Time elapsed: 0.026 s
% 1.45/0.59 % (3602)Instructions burned: 38 (million)
% 1.45/0.59 % (3602)------------------------------
% 1.45/0.59 % (3602)------------------------------
% 1.45/0.59 % (3580)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.45/0.59 % (3583)Instruction limit reached!
% 1.45/0.59 % (3583)------------------------------
% 1.45/0.59 % (3583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59 % (3580)Instruction limit reached!
% 1.45/0.59 % (3580)------------------------------
% 1.45/0.59 % (3580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59 % (3580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.59 % (3580)Termination reason: Unknown
% 1.45/0.59 % (3580)Termination phase: Function definition elimination
% 1.45/0.59
% 1.45/0.59 % (3580)Memory used [KB]: 2046
% 1.45/0.59 % (3580)Time elapsed: 0.003 s
% 1.45/0.59 % (3580)Instructions burned: 4 (million)
% 1.45/0.59 % (3580)------------------------------
% 1.45/0.59 % (3580)------------------------------
% 1.45/0.59 % (3599)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.45/0.59 % (3596)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.45/0.59 % (3578)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.45/0.60 % (3591)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.45/0.60 % (3581)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.45/0.60 % (3583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.60 % (3583)Termination reason: Unknown
% 1.45/0.60 % (3583)Termination phase: Saturation
% 1.45/0.60
% 1.45/0.60 % (3583)Memory used [KB]: 6652
% 1.45/0.60 % (3583)Time elapsed: 0.138 s
% 1.45/0.60 % (3583)Instructions burned: 25 (million)
% 1.45/0.60 % (3583)------------------------------
% 1.45/0.60 % (3583)------------------------------
% 1.58/0.60 % (3591)Instruction limit reached!
% 1.58/0.60 % (3591)------------------------------
% 1.58/0.60 % (3591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60 % (3591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60 % (3591)Termination reason: Unknown
% 1.58/0.60 % (3591)Termination phase: Property scanning
% 1.58/0.60
% 1.58/0.60 % (3591)Memory used [KB]: 2046
% 1.58/0.60 % (3591)Time elapsed: 0.004 s
% 1.58/0.60 % (3591)Instructions burned: 5 (million)
% 1.58/0.60 % (3591)------------------------------
% 1.58/0.60 % (3591)------------------------------
% 1.58/0.60 % (3600)First to succeed.
% 1.58/0.60 % (3588)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.60 % (3589)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.58/0.60 % (3600)Refutation found. Thanks to Tanya!
% 1.58/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.58/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.60 % (3600)------------------------------
% 1.58/0.60 % (3600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60 % (3600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60 % (3600)Termination reason: Refutation
% 1.58/0.60
% 1.58/0.60 % (3600)Memory used [KB]: 6780
% 1.58/0.60 % (3600)Time elapsed: 0.142 s
% 1.58/0.60 % (3600)Instructions burned: 17 (million)
% 1.58/0.60 % (3600)------------------------------
% 1.58/0.60 % (3600)------------------------------
% 1.58/0.60 % (3566)Success in time 0.245 s
%------------------------------------------------------------------------------