TSTP Solution File: SCT030-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT030-1 : 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 : 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 : Thu Aug 31 14:22:41 EDT 2023
% Result : Unsatisfiable 34.87s 5.46s
% Output : Refutation 34.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 30
% Syntax : Number of formulae : 111 ( 35 unt; 0 def)
% Number of atoms : 220 ( 55 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 209 ( 100 ~; 109 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 2 con; 0-5 aty)
% Number of variables : 327 (; 327 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84672,plain,
$false,
inference(subsumption_resolution,[],[f529,f82805]) ).
fof(f82805,plain,
! [X0] : ~ hBOOL(X0),
inference(forward_literal_rewriting,[],[f82804,f81736]) ).
fof(f81736,plain,
! [X354,X352] :
( hBOOL(hAPP(X352,X354))
| ~ hBOOL(X352) ),
inference(subsumption_resolution,[],[f73115,f81735]) ).
fof(f81735,plain,
! [X2,X0,X1] :
( hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))
| hBOOL(hAPP(X0,X1))
| ~ hBOOL(X0) ),
inference(forward_literal_rewriting,[],[f81734,f72441]) ).
fof(f72441,plain,
! [X222] :
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X222,tc_bool)))
| hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X222,tc_bool))) ),
inference(extensionality_resolution,[],[f72257,f485]) ).
fof(f485,axiom,
! [X2] : c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_UNIV__not__empty_0) ).
fof(f72257,plain,
! [X2,X3] :
( X2 = X3
| hBOOL(X3)
| hBOOL(X2) ),
inference(superposition,[],[f72231,f72231]) ).
fof(f72231,plain,
! [X3,X4,X5] :
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5) = X3
| hBOOL(X3) ),
inference(superposition,[],[f390,f72219]) ).
fof(f72219,plain,
! [X4,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_COMBK(X4,tc_bool,X5)
| hBOOL(X4) ),
inference(forward_literal_rewriting,[],[f72218,f11923]) ).
fof(f11923,plain,
! [X6] :
( hBOOL(hAPP(c_Not,X6))
| hBOOL(X6) ),
inference(forward_demodulation,[],[f11835,f93]) ).
fof(f93,axiom,
! [X2,X3] : hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_fun(X2,tc_bool)),X3) = X3,
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_Un__absorb_0) ).
fof(f11835,plain,
! [X6,X7] :
( hBOOL(hAPP(c_Not,X6))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X6,tc_fun(X7,tc_bool)),X6)) ),
inference(superposition,[],[f11702,f93]) ).
fof(f11702,plain,
! [X3,X17] :
( hBOOL(hAPP(c_Not,hAPP(X3,X17)))
| hBOOL(hAPP(X3,X17)) ),
inference(backward_demodulation,[],[f852,f11685]) ).
fof(f11685,plain,
! [X2,X0,X1] : hAPP(c_Not,hAPP(X0,X2)) = hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X0),X2),
inference(superposition,[],[f4987,f716]) ).
fof(f716,plain,
! [X2,X19] : hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X19) = hAPP(c_Set_Ovimage(X19,X2,tc_bool),c_Not),
inference(backward_demodulation,[],[f713,f715]) ).
fof(f715,plain,
! [X2,X10,X19,X9] : c_COMBB(X19,X9,X10,tc_bool,X2) = hAPP(c_Set_Ovimage(X9,X2,X10),X19),
inference(forward_demodulation,[],[f714,f308]) ).
fof(f308,axiom,
! [X2,X19] : c_Collect(X19,X2) = X19,
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_Collect__def_0) ).
fof(f714,plain,
! [X2,X10,X19,X9] : hAPP(c_Set_Ovimage(X9,X2,X10),c_Collect(X19,X10)) = c_COMBB(X19,X9,X10,tc_bool,X2),
inference(forward_demodulation,[],[f194,f308]) ).
fof(f194,axiom,
! [X2,X10,X19,X9] : hAPP(c_Set_Ovimage(X9,X2,X10),c_Collect(X19,X10)) = c_Collect(c_COMBB(X19,X9,X10,tc_bool,X2),X2),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_vimage__Collect__eq_0) ).
fof(f713,plain,
! [X2,X19] : c_COMBB(c_Not,X19,tc_bool,tc_bool,X2) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X19),
inference(forward_demodulation,[],[f712,f308]) ).
fof(f712,plain,
! [X2,X19] : c_Collect(c_COMBB(c_Not,X19,tc_bool,tc_bool,X2),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X19),
inference(forward_demodulation,[],[f193,f308]) ).
fof(f193,axiom,
! [X2,X19] : c_Collect(c_COMBB(c_Not,X19,tc_bool,tc_bool,X2),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),c_Collect(X19,X2)),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_Collect__neg__eq_0) ).
fof(f4987,plain,
! [X2,X3,X0,X1,X4] : hAPP(X0,hAPP(X1,X4)) = hAPP(hAPP(c_Set_Ovimage(X1,X3,X2),X0),X4),
inference(superposition,[],[f96,f715]) ).
fof(f96,axiom,
! [X2,X21,X10,X19,X12,X20] : hAPP(c_COMBB(X19,X20,X10,X2,X12),X21) = hAPP(X19,hAPP(X20,X21)),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_COMBB__def_0) ).
fof(f852,plain,
! [X2,X3,X17] :
( hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X17))
| hBOOL(hAPP(X3,X17)) ),
inference(forward_literal_rewriting,[],[f851,f664]) ).
fof(f664,axiom,
! [X2,X27,X5] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X27))
| hBOOL(hAPP(X27,X5)) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_mem__def_0) ).
fof(f851,plain,
! [X2,X3,X17] :
( hBOOL(hAPP(X3,X17))
| hBOOL(hAPP(hAPP(c_in(X2),X17),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3))) ),
inference(forward_literal_rewriting,[],[f579,f664]) ).
fof(f579,axiom,
! [X2,X3,X17] :
( hBOOL(hAPP(hAPP(c_in(X2),X17),X3))
| hBOOL(hAPP(hAPP(c_in(X2),X17),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3))) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_ComplI_0) ).
fof(f72218,plain,
! [X4,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) = c_COMBK(X4,tc_bool,X5)
| ~ hBOOL(hAPP(c_Not,X4)) ),
inference(forward_demodulation,[],[f72217,f478]) ).
fof(f478,axiom,
! [X2] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_Compl__UNIV__eq_0) ).
fof(f72217,plain,
! [X4,X5] :
( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X5,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool))) = c_COMBK(X4,tc_bool,X5)
| ~ hBOOL(hAPP(c_Not,X4)) ),
inference(forward_literal_rewriting,[],[f72162,f36672]) ).
fof(f36672,plain,
! [X2,X0,X1] :
( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2) != X1
| hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1) = X2 ),
inference(superposition,[],[f501,f429]) ).
fof(f429,axiom,
! [X2,X3] : hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3)) = X3,
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_double__complement_0) ).
fof(f501,axiom,
! [X2,X3,X0] :
( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X0)
| X0 = X3 ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_Compl__eq__Compl__iff_0) ).
fof(f72162,plain,
! [X4,X5] :
( c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X5,tc_bool)),c_COMBK(X4,tc_bool,X5))
| ~ hBOOL(hAPP(c_Not,X4)) ),
inference(superposition,[],[f820,f716]) ).
fof(f820,plain,
! [X2,X3,X10,X17] :
( c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) = hAPP(c_Set_Ovimage(c_COMBK(X17,X10,X2),X2,X10),X3)
| ~ hBOOL(hAPP(X3,X17)) ),
inference(forward_literal_rewriting,[],[f554,f663]) ).
fof(f663,axiom,
! [X2,X27,X5] :
( hBOOL(hAPP(hAPP(c_in(X2),X5),X27))
| ~ hBOOL(hAPP(X27,X5)) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_mem__def_1) ).
fof(f554,axiom,
! [X2,X3,X10,X17] :
( ~ hBOOL(hAPP(hAPP(c_in(X10),X17),X3))
| c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) = hAPP(c_Set_Ovimage(c_COMBK(X17,X10,X2),X2,X10),X3) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_vimage__const_0) ).
fof(f390,axiom,
! [X2,X10,X19,X20] : hAPP(c_COMBK(X19,X2,X10),X20) = X19,
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_COMBK__def_0) ).
fof(f81734,plain,
! [X2,X0,X1] :
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| hBOOL(hAPP(X0,X1))
| ~ hBOOL(X0) ),
inference(forward_literal_rewriting,[],[f81680,f73031]) ).
fof(f73031,plain,
! [X145,X144] :
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X144,tc_bool)))
| ~ hBOOL(hAPP(c_fequal(X144),X145)) ),
inference(extensionality_resolution,[],[f72911,f2303]) ).
fof(f2303,plain,
! [X11,X12] : c_Orderings_Obot__class_Obot(tc_fun(X12,tc_bool)) != hAPP(c_fequal(X12),X11),
inference(superposition,[],[f519,f709]) ).
fof(f709,plain,
! [X2,X7] : hAPP(c_Set_Oinsert(X7,X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = hAPP(c_fequal(X2),X7),
inference(forward_demodulation,[],[f557,f308]) ).
fof(f557,axiom,
! [X2,X7] : hAPP(c_Set_Oinsert(X7,X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = c_Collect(hAPP(c_fequal(X2),X7),X2),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_singleton__conv2_0) ).
fof(f519,axiom,
! [X2,X3,X7] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != hAPP(c_Set_Oinsert(X7,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_empty__not__insert_0) ).
fof(f72911,plain,
! [X2,X3] :
( X2 = X3
| ~ hBOOL(X3)
| ~ hBOOL(X2) ),
inference(superposition,[],[f72818,f72818]) ).
fof(f72818,plain,
! [X18,X16,X17] :
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X17,tc_bool)),X18) = X16
| ~ hBOOL(X16) ),
inference(forward_literal_rewriting,[],[f72691,f11802]) ).
fof(f11802,plain,
! [X6] :
( ~ hBOOL(hAPP(c_Not,X6))
| ~ hBOOL(X6) ),
inference(forward_demodulation,[],[f11712,f93]) ).
fof(f11712,plain,
! [X6,X7] :
( ~ hBOOL(hAPP(c_Not,X6))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X6,tc_fun(X7,tc_bool)),X6)) ),
inference(superposition,[],[f11701,f93]) ).
fof(f11701,plain,
! [X3,X17] :
( ~ hBOOL(hAPP(c_Not,hAPP(X3,X17)))
| ~ hBOOL(hAPP(X3,X17)) ),
inference(backward_demodulation,[],[f812,f11685]) ).
fof(f812,plain,
! [X2,X3,X17] :
( ~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X17))
| ~ hBOOL(hAPP(X3,X17)) ),
inference(forward_literal_rewriting,[],[f811,f663]) ).
fof(f811,plain,
! [X2,X3,X17] :
( ~ hBOOL(hAPP(X3,X17))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X17),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3))) ),
inference(forward_literal_rewriting,[],[f580,f663]) ).
fof(f580,axiom,
! [X2,X3,X17] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X17),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X17),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3))) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_ComplD_0) ).
fof(f72691,plain,
! [X18,X16,X17] :
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X17,tc_bool)),X18) = X16
| hBOOL(hAPP(c_Not,X16)) ),
inference(superposition,[],[f72264,f20576]) ).
fof(f20576,plain,
! [X6] : hAPP(c_Not,hAPP(c_Not,X6)) = X6,
inference(superposition,[],[f20562,f93]) ).
fof(f20562,plain,
! [X2,X1] : hAPP(X1,X2) = hAPP(c_Not,hAPP(c_Not,hAPP(X1,X2))),
inference(forward_demodulation,[],[f20530,f11685]) ).
fof(f20530,plain,
! [X2,X0,X1] : hAPP(X1,X2) = hAPP(c_Not,hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X2)),
inference(superposition,[],[f11685,f429]) ).
fof(f72264,plain,
! [X2,X0,X1] :
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1) = hAPP(c_Not,X2)
| hBOOL(X2) ),
inference(superposition,[],[f20532,f72231]) ).
fof(f20532,plain,
! [X6,X5] : hAPP(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X6) = hAPP(c_Not,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6)),
inference(superposition,[],[f11685,f531]) ).
fof(f531,axiom,
! [X2] : c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_Compl__empty__eq_0) ).
fof(f81680,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X1))
| hBOOL(hAPP(c_fequal(X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))))
| ~ hBOOL(X0) ),
inference(condensation,[],[f81320]) ).
fof(f81320,plain,
! [X273,X271,X272,X276,X275,X274] :
( hBOOL(hAPP(X271,X272))
| hBOOL(hAPP(c_fequal(X273),c_Orderings_Otop__class_Otop(tc_fun(X274,tc_bool))))
| ~ hBOOL(X271)
| hBOOL(hAPP(X275,X276)) ),
inference(resolution,[],[f74030,f55619]) ).
fof(f55619,plain,
! [X106,X107,X104,X105] :
( ~ hBOOL(hAPP(hAPP(c_fequal(X104),c_Orderings_Otop__class_Otop(tc_fun(X105,tc_bool))),X106))
| hBOOL(hAPP(X106,X107)) ),
inference(extensionality_resolution,[],[f701,f55580]) ).
fof(f55580,plain,
! [X14,X12,X13] :
( c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)) != X13
| hBOOL(hAPP(X13,X14)) ),
inference(forward_demodulation,[],[f55515,f37078]) ).
fof(f37078,plain,
! [X50,X51] : c_Orderings_Otop__class_Otop(tc_fun(X50,tc_bool)) = hAPP(c_Set_Oinsert(X51,X50),c_Orderings_Otop__class_Otop(tc_fun(X50,tc_bool))),
inference(superposition,[],[f721,f74]) ).
fof(f74,axiom,
! [X2,X3] : c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_Un__UNIV__right_0) ).
fof(f721,plain,
! [X2,X3,X7] : hAPP(c_Set_Oinsert(X7,X2),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_fequal(X2),X7),tc_fun(X2,tc_bool)),X3),
inference(forward_demodulation,[],[f157,f709]) ).
fof(f157,axiom,
! [X2,X3,X7] : hAPP(c_Set_Oinsert(X7,X2),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Set_Oinsert(X7,X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),tc_fun(X2,tc_bool)),X3),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_insert__is__Un_0) ).
fof(f55515,plain,
! [X14,X12,X13] :
( hAPP(c_Set_Oinsert(X14,X12),c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool))) != X13
| hBOOL(hAPP(X13,X14)) ),
inference(superposition,[],[f849,f75]) ).
fof(f75,axiom,
! [X2,X0] : c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X0),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_Un__UNIV__left_0) ).
fof(f849,plain,
! [X2,X3,X0,X5] :
( hAPP(c_Set_Oinsert(X5,X2),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_fun(X2,tc_bool)),X0)) != X0
| hBOOL(hAPP(X0,X5)) ),
inference(forward_demodulation,[],[f848,f86]) ).
fof(f86,axiom,
! [X2,X0,X1,X7] : hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Set_Oinsert(X7,X2),X0),tc_fun(X2,tc_bool)),X1) = hAPP(c_Set_Oinsert(X7,X2),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,tc_fun(X2,tc_bool)),X1)),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_Un__insert__left_0) ).
fof(f848,plain,
! [X2,X3,X0,X5] :
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_Set_Oinsert(X5,X2),X3),tc_fun(X2,tc_bool)),X0) != X0
| hBOOL(hAPP(X0,X5)) ),
inference(forward_literal_rewriting,[],[f847,f40]) ).
fof(f40,axiom,
! [X2,X3,X0] :
( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,tc_fun(X2,tc_bool)),X0) != X0
| c_lessequals(X3,X0,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_subset__Un__eq_1) ).
fof(f847,plain,
! [X2,X3,X0,X5] :
( hBOOL(hAPP(X0,X5))
| ~ c_lessequals(hAPP(c_Set_Oinsert(X5,X2),X3),X0,tc_fun(X2,tc_bool)) ),
inference(forward_literal_rewriting,[],[f147,f664]) ).
fof(f147,axiom,
! [X2,X3,X0,X5] :
( hBOOL(hAPP(hAPP(c_in(X2),X5),X0))
| ~ c_lessequals(hAPP(c_Set_Oinsert(X5,X2),X3),X0,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_insert__subset_0) ).
fof(f701,axiom,
! [X2,X51,X52] :
( ~ hBOOL(hAPP(hAPP(c_fequal(X2),X51),X52))
| X51 = X52 ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(f74030,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X2,X3))
| hBOOL(hAPP(X0,X1))
| hBOOL(X2)
| ~ hBOOL(X0) ),
inference(resolution,[],[f73115,f72495]) ).
fof(f72495,plain,
! [X354,X353,X352] :
( hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X353,tc_bool)))
| hBOOL(X352)
| hBOOL(hAPP(X352,X354)) ),
inference(extensionality_resolution,[],[f72257,f55580]) ).
fof(f73115,plain,
! [X354,X353,X352] :
( ~ hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X353,tc_bool)))
| ~ hBOOL(X352)
| hBOOL(hAPP(X352,X354)) ),
inference(extensionality_resolution,[],[f72911,f55580]) ).
fof(f82804,plain,
! [X0,X1] : ~ hBOOL(hAPP(X0,X1)),
inference(condensation,[],[f82803]) ).
fof(f82803,plain,
! [X106,X107,X104] :
( ~ hBOOL(X104)
| ~ hBOOL(hAPP(X106,X107)) ),
inference(forward_literal_rewriting,[],[f82802,f82213]) ).
fof(f82213,plain,
! [X0,X1] :
( ~ hBOOL(X0)
| hBOOL(c_HOL_Ominus__class_Ominus(X0,tc_fun(X1,tc_bool))) ),
inference(condensation,[],[f82212]) ).
fof(f82212,plain,
! [X2,X0,X1] :
( ~ hBOOL(X2)
| hBOOL(c_HOL_Ominus__class_Ominus(X0,tc_fun(X1,tc_bool)))
| ~ hBOOL(X0) ),
inference(forward_literal_rewriting,[],[f82211,f81736]) ).
fof(f82211,plain,
! [X2,X3,X0,X1] :
( hBOOL(c_HOL_Ominus__class_Ominus(X0,tc_fun(X1,tc_bool)))
| ~ hBOOL(X0)
| ~ hBOOL(hAPP(X2,X3)) ),
inference(condensation,[],[f82210]) ).
fof(f82210,plain,
! [X11,X8,X6,X9,X7] :
( hBOOL(c_HOL_Ominus__class_Ominus(X8,tc_fun(X9,tc_bool)))
| ~ hBOOL(X8)
| hBOOL(X6)
| ~ hBOOL(hAPP(X7,X11)) ),
inference(forward_literal_rewriting,[],[f82209,f81798]) ).
fof(f81798,plain,
! [X2,X1] :
( hBOOL(X1)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(subsumption_resolution,[],[f73534,f81761]) ).
fof(f81761,plain,
! [X443,X442] :
( hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X443,tc_bool)))
| ~ hBOOL(X442) ),
inference(subsumption_resolution,[],[f73285,f81736]) ).
fof(f73285,plain,
! [X443,X442,X444] :
( hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X443,tc_bool)))
| ~ hBOOL(X442)
| ~ hBOOL(hAPP(X442,X444)) ),
inference(forward_literal_rewriting,[],[f73151,f72441]) ).
fof(f73151,plain,
! [X443,X442,X444] :
( ~ hBOOL(X442)
| ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X443,tc_bool)))
| ~ hBOOL(hAPP(X442,X444)) ),
inference(extensionality_resolution,[],[f72911,f757]) ).
fof(f757,plain,
! [X2,X19,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != X19
| ~ hBOOL(hAPP(X19,X5)) ),
inference(forward_demodulation,[],[f528,f308]) ).
fof(f528,axiom,
! [X2,X19,X5] :
( ~ hBOOL(hAPP(X19,X5))
| c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Collect(X19,X2) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_empty__Collect__eq_0) ).
fof(f73534,plain,
! [X2,X0,X1] :
( ~ hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)))
| hBOOL(X1)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(resolution,[],[f73061,f72531]) ).
fof(f72531,plain,
! [X443,X442,X444] :
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X443,tc_bool)))
| hBOOL(X442)
| ~ hBOOL(hAPP(X442,X444)) ),
inference(extensionality_resolution,[],[f72257,f757]) ).
fof(f73061,plain,
! [X222] :
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X222,tc_bool)))
| ~ hBOOL(c_Orderings_Otop__class_Otop(tc_fun(X222,tc_bool))) ),
inference(extensionality_resolution,[],[f72911,f485]) ).
fof(f82209,plain,
! [X11,X8,X6,X9,X7] :
( hBOOL(hAPP(c_HOL_Ominus__class_Ominus(X8,tc_fun(X9,tc_bool)),X6))
| ~ hBOOL(X8)
| hBOOL(X6)
| ~ hBOOL(hAPP(X7,X11)) ),
inference(forward_literal_rewriting,[],[f82208,f81798]) ).
fof(f82208,plain,
! [X11,X8,X6,X9,X7] :
( ~ hBOOL(X8)
| hBOOL(X6)
| hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X8,tc_fun(X9,tc_bool)),X6),X11))
| ~ hBOOL(hAPP(X7,X11)) ),
inference(forward_literal_rewriting,[],[f82207,f81736]) ).
fof(f82207,plain,
! [X10,X11,X8,X6,X9,X7] :
( hBOOL(X6)
| ~ hBOOL(hAPP(X8,c_ATP__Linkup_Osko__Set__Xbspec__1__1(X7,hAPP(c_HOL_Ominus__class_Ominus(X8,tc_fun(X9,tc_bool)),X6),X10)))
| hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X8,tc_fun(X9,tc_bool)),X6),X11))
| ~ hBOOL(hAPP(X7,X11)) ),
inference(forward_literal_rewriting,[],[f82175,f81798]) ).
fof(f82175,plain,
! [X10,X11,X8,X6,X9,X7] :
( hBOOL(hAPP(X6,c_ATP__Linkup_Osko__Set__Xbspec__1__1(X7,hAPP(c_HOL_Ominus__class_Ominus(X8,tc_fun(X9,tc_bool)),X6),X10)))
| ~ hBOOL(hAPP(X8,c_ATP__Linkup_Osko__Set__Xbspec__1__1(X7,hAPP(c_HOL_Ominus__class_Ominus(X8,tc_fun(X9,tc_bool)),X6),X10)))
| hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X8,tc_fun(X9,tc_bool)),X6),X11))
| ~ hBOOL(hAPP(X7,X11)) ),
inference(resolution,[],[f1046,f946]) ).
fof(f946,plain,
! [X2,X3,X19,X5] :
( ~ hBOOL(hAPP(X19,c_ATP__Linkup_Osko__Set__Xbspec__1__1(X3,X19,X2)))
| hBOOL(hAPP(X19,X5))
| ~ hBOOL(hAPP(X3,X5)) ),
inference(forward_literal_rewriting,[],[f441,f663]) ).
fof(f441,axiom,
! [X2,X3,X19,X5] :
( hBOOL(hAPP(X19,X5))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X3))
| ~ hBOOL(hAPP(X19,c_ATP__Linkup_Osko__Set__Xbspec__1__1(X3,X19,X2))) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_bspec_1) ).
fof(f1046,plain,
! [X2,X3,X0,X17] :
( hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3,tc_fun(X2,tc_bool)),X0),X17))
| hBOOL(hAPP(X0,X17))
| ~ hBOOL(hAPP(X3,X17)) ),
inference(forward_literal_rewriting,[],[f1045,f664]) ).
fof(f1045,plain,
! [X2,X3,X0,X17] :
( hBOOL(hAPP(X0,X17))
| ~ hBOOL(hAPP(X3,X17))
| hBOOL(hAPP(hAPP(c_in(X2),X17),hAPP(c_HOL_Ominus__class_Ominus(X3,tc_fun(X2,tc_bool)),X0))) ),
inference(forward_literal_rewriting,[],[f1044,f664]) ).
fof(f1044,plain,
! [X2,X3,X0,X17] :
( ~ hBOOL(hAPP(X3,X17))
| hBOOL(hAPP(hAPP(c_in(X2),X17),X0))
| hBOOL(hAPP(hAPP(c_in(X2),X17),hAPP(c_HOL_Ominus__class_Ominus(X3,tc_fun(X2,tc_bool)),X0))) ),
inference(forward_literal_rewriting,[],[f611,f663]) ).
fof(f611,axiom,
! [X2,X3,X0,X17] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X17),X3))
| hBOOL(hAPP(hAPP(c_in(X2),X17),X0))
| hBOOL(hAPP(hAPP(c_in(X2),X17),hAPP(c_HOL_Ominus__class_Ominus(X3,tc_fun(X2,tc_bool)),X0))) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_DiffI_0) ).
fof(f82802,plain,
! [X106,X107,X104,X105] :
( ~ hBOOL(c_HOL_Ominus__class_Ominus(X104,tc_fun(X105,tc_bool)))
| ~ hBOOL(hAPP(X106,X107)) ),
inference(forward_literal_rewriting,[],[f82359,f81736]) ).
fof(f82359,plain,
! [X106,X107,X104,X105] :
( ~ hBOOL(hAPP(c_HOL_Ominus__class_Ominus(X104,tc_fun(X105,tc_bool)),X106))
| ~ hBOOL(hAPP(X106,X107)) ),
inference(resolution,[],[f81736,f815]) ).
fof(f815,plain,
! [X2,X3,X0,X17] :
( ~ hBOOL(hAPP(hAPP(c_HOL_Ominus__class_Ominus(X3,tc_fun(X2,tc_bool)),X0),X17))
| ~ hBOOL(hAPP(X0,X17)) ),
inference(forward_literal_rewriting,[],[f814,f663]) ).
fof(f814,plain,
! [X2,X3,X0,X17] :
( ~ hBOOL(hAPP(X0,X17))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X17),hAPP(c_HOL_Ominus__class_Ominus(X3,tc_fun(X2,tc_bool)),X0))) ),
inference(forward_literal_rewriting,[],[f572,f663]) ).
fof(f572,axiom,
! [X2,X3,X0,X17] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X17),X0))
| ~ hBOOL(hAPP(hAPP(c_in(X2),X17),hAPP(c_HOL_Ominus__class_Ominus(X3,tc_fun(X2,tc_bool)),X0))) ),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_DiffE_1) ).
fof(f529,axiom,
! [X2,X3,X5] : hBOOL(hAPP(hAPP(c_Set_Oinsert(X5,X2),X3),X5)),
file('/export/starexec/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529',cls_insert__code_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.19/0.20 % Problem : SCT030-1 : TPTP v8.1.2. Released v4.1.0.
% 0.19/0.22 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.21/0.43 % Computer : n017.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 14:58:39 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/sandbox/tmp/tmp.CfA09PtBHC/Vampire---4.8_27529
% 0.21/0.44 % (27639)Running in auto input_syntax mode. Trying TPTP
% 0.30/0.53 % (27646)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)
% 0.30/0.53 % (27640)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 % (27643)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 % (27645)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)
% 0.30/0.53 % (27644)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)
% 0.30/0.53 % (27642)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)
% 0.30/0.53 % (27641)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 % (27646)Refutation not found, incomplete strategy% (27646)------------------------------
% 0.30/0.54 % (27646)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.30/0.54 % (27646)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.30/0.54 % (27646)Termination reason: Refutation not found, incomplete strategy
% 0.30/0.54
% 0.30/0.54 % (27646)Memory used [KB]: 2174
% 0.30/0.54 % (27646)Time elapsed: 0.014 s
% 0.30/0.54 % (27646)------------------------------
% 0.30/0.54 % (27646)------------------------------
% 0.30/0.58 % (27647)dis-1002_6_acc=on:anc=none:bce=on:cond=fast:drc=off:fsd=off:fde=none:gsp=on:irw=on:sac=on:sp=scramble:tgt=ground:urr=ec_only_401 on Vampire---4 for (401ds/0Mi)
% 34.87/5.46 % (27644)First to succeed.
% 34.87/5.46 % (27644)Refutation found. Thanks to Tanya!
% 34.87/5.46 % SZS status Unsatisfiable for Vampire---4
% 34.87/5.46 % SZS output start Proof for Vampire---4
% See solution above
% 34.87/5.46 % (27644)------------------------------
% 34.87/5.46 % (27644)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 34.87/5.46 % (27644)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 34.87/5.46 % (27644)Termination reason: Refutation
% 34.87/5.46
% 34.87/5.46 % (27644)Memory used [KB]: 59231
% 34.87/5.46 % (27644)Time elapsed: 4.920 s
% 34.87/5.46 % (27644)------------------------------
% 34.87/5.46 % (27644)------------------------------
% 34.87/5.46 % (27639)Success in time 4.982 s
% 34.87/5.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------