TSTP Solution File: SCT016-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT016-1 : 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 : n002.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 14:22:38 EDT 2023
% Result : Unsatisfiable 44.55s 6.93s
% Output : Refutation 44.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 90 ( 24 unt; 0 def)
% Number of atoms : 177 ( 59 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 162 ( 75 ~; 87 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 210 (; 210 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48284,plain,
$false,
inference(subsumption_resolution,[],[f48150,f45659]) ).
fof(f45659,plain,
! [X0] : hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
inference(subsumption_resolution,[],[f34504,f45342]) ).
fof(f45342,plain,
! [X87] :
( ~ hBOOL(c_Not)
| hBOOL(X87) ),
inference(subsumption_resolution,[],[f44292,f45341]) ).
fof(f45341,plain,
! [X0] :
( ~ hBOOL(c_Not)
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) ),
inference(condensation,[],[f45340]) ).
fof(f45340,plain,
! [X461,X460] :
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X460,tc_bool)))
| ~ hBOOL(c_Not)
| ~ hBOOL(X461) ),
inference(forward_literal_rewriting,[],[f44494,f33621]) ).
fof(f33621,plain,
! [X8,X6,X7] :
( hBOOL(hAPP(hAPP(c_Set_Oinsert(X6),X7),X8))
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool))) ),
inference(extensionality_resolution,[],[f33565,f892]) ).
fof(f892,axiom,
! [X0,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != hAPP(hAPP(c_Set_Oinsert(X0),X6),X5),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_empty__not__insert_0) ).
fof(f33565,plain,
! [X2,X3] :
( X2 = X3
| hBOOL(X3)
| hBOOL(X2) ),
inference(superposition,[],[f33476,f33476]) ).
fof(f33476,plain,
! [X2,X0,X1] :
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2) = X0
| hBOOL(X0) ),
inference(superposition,[],[f153,f33249]) ).
fof(f33249,plain,
! [X10,X11] :
( c_Orderings_Obot__class_Obot(tc_fun(X11,tc_bool)) = c_COMBK(X10,tc_bool,X11)
| hBOOL(X10) ),
inference(forward_literal_rewriting,[],[f33248,f2283]) ).
fof(f2283,plain,
! [X10] :
( hBOOL(hAPP(c_Not,X10))
| hBOOL(X10) ),
inference(forward_demodulation,[],[f2281,f944]) ).
fof(f944,axiom,
! [X0,X37] : hAPP(c_COMBI(X0),X37) = X37,
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_COMBI__def_0) ).
fof(f2281,plain,
! [X10] :
( hBOOL(hAPP(c_COMBI(tc_bool),X10))
| hBOOL(hAPP(c_Not,X10)) ),
inference(superposition,[],[f1448,f2225]) ).
fof(f2225,plain,
c_COMBI(tc_bool) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_bool,tc_bool)),c_Not),
inference(superposition,[],[f367,f2219]) ).
fof(f2219,plain,
c_Not = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_bool,tc_bool)),c_COMBI(tc_bool)),
inference(superposition,[],[f1081,f769]) ).
fof(f769,axiom,
! [X0,X52] : hAPP(c_Set_Ovimage(c_COMBI(X0),X0,X0),X52) = X52,
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_vimage__ident_0) ).
fof(f1081,plain,
! [X0,X37] : hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X37) = hAPP(c_Set_Ovimage(X37,X0,tc_bool),c_Not),
inference(forward_demodulation,[],[f1080,f1059]) ).
fof(f1059,plain,
! [X2,X0,X1,X37] : hAPP(hAPP(c_COMBB(X1,tc_bool,X0),X37),X2) = hAPP(c_Set_Ovimage(X2,X0,X1),X37),
inference(forward_demodulation,[],[f1058,f927]) ).
fof(f927,axiom,
! [X0,X37] : hAPP(c_Collect(X0),X37) = X37,
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_Collect__def_0) ).
fof(f1058,plain,
! [X2,X0,X1,X37] : hAPP(c_Set_Ovimage(X2,X0,X1),hAPP(c_Collect(X1),X37)) = hAPP(hAPP(c_COMBB(X1,tc_bool,X0),X37),X2),
inference(forward_demodulation,[],[f591,f927]) ).
fof(f591,axiom,
! [X2,X0,X1,X37] : hAPP(c_Set_Ovimage(X2,X0,X1),hAPP(c_Collect(X1),X37)) = hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(X1,tc_bool,X0),X37),X2)),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_vimage__Collect__eq_0) ).
fof(f1080,plain,
! [X0,X37] : hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X0),c_Not),X37) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X37),
inference(forward_demodulation,[],[f1079,f927]) ).
fof(f1079,plain,
! [X0,X37] : hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X0),c_Not),X37)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X37),
inference(forward_demodulation,[],[f602,f927]) ).
fof(f602,axiom,
! [X0,X37] : hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X0),c_Not),X37)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),hAPP(c_Collect(X0),X37)),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_Collect__neg__eq_0) ).
fof(f367,axiom,
! [X0,X5] : hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X5)) = X5,
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_double__complement_0) ).
fof(f1448,plain,
! [X0,X9,X5] :
( hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X5),X9))
| hBOOL(hAPP(X5,X9)) ),
inference(forward_literal_rewriting,[],[f1447,f941]) ).
fof(f941,axiom,
! [X3,X0,X24] :
( ~ hBOOL(hAPP(hAPP(c_in(X0),X3),X24))
| hBOOL(hAPP(X24,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_mem__def_0) ).
fof(f1447,plain,
! [X0,X9,X5] :
( hBOOL(hAPP(X5,X9))
| hBOOL(hAPP(hAPP(c_in(X0),X9),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X5))) ),
inference(forward_literal_rewriting,[],[f502,f941]) ).
fof(f502,axiom,
! [X0,X9,X5] :
( hBOOL(hAPP(hAPP(c_in(X0),X9),X5))
| hBOOL(hAPP(hAPP(c_in(X0),X9),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X5))) ),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_ComplI_0) ).
fof(f33248,plain,
! [X10,X11] :
( c_Orderings_Obot__class_Obot(tc_fun(X11,tc_bool)) = c_COMBK(X10,tc_bool,X11)
| ~ hBOOL(hAPP(c_Not,X10)) ),
inference(forward_demodulation,[],[f33247,f582]) ).
fof(f582,axiom,
! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_Compl__UNIV__eq_0) ).
fof(f33247,plain,
! [X10,X11] :
( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X11,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X11,tc_bool))) = c_COMBK(X10,tc_bool,X11)
| ~ hBOOL(hAPP(c_Not,X10)) ),
inference(forward_literal_rewriting,[],[f33205,f8089]) ).
fof(f8089,plain,
! [X14,X15,X13] :
( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X13,tc_bool)),X15) != X14
| hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X13,tc_bool)),X14) = X15 ),
inference(superposition,[],[f70,f367]) ).
fof(f70,axiom,
! [X0,X7,X5] :
( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X5) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X7)
| X5 = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_Compl__eq__Compl__iff_0) ).
fof(f33205,plain,
! [X10,X11] :
( c_Orderings_Otop__class_Otop(tc_fun(X11,tc_bool)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X11,tc_bool)),c_COMBK(X10,tc_bool,X11))
| ~ hBOOL(hAPP(c_Not,X10)) ),
inference(superposition,[],[f1420,f1081]) ).
fof(f1420,plain,
! [X0,X1,X9,X5] :
( c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)) = hAPP(c_Set_Ovimage(c_COMBK(X9,X1,X0),X0,X1),X5)
| ~ hBOOL(hAPP(X5,X9)) ),
inference(forward_literal_rewriting,[],[f574,f940]) ).
fof(f940,axiom,
! [X3,X0,X24] :
( hBOOL(hAPP(hAPP(c_in(X0),X3),X24))
| ~ hBOOL(hAPP(X24,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_mem__def_1) ).
fof(f574,axiom,
! [X0,X1,X9,X5] :
( ~ hBOOL(hAPP(hAPP(c_in(X1),X9),X5))
| c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)) = hAPP(c_Set_Ovimage(c_COMBK(X9,X1,X0),X0,X1),X5) ),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_vimage__const_0) ).
fof(f153,axiom,
! [X0,X1,X37,X43] : hAPP(c_COMBK(X37,X0,X1),X43) = X37,
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_COMBK__def_0) ).
fof(f44494,plain,
! [X462,X461,X460] :
( ~ hBOOL(hAPP(hAPP(c_Set_Oinsert(X460),X461),X462))
| ~ hBOOL(c_Not)
| ~ hBOOL(X461) ),
inference(extensionality_resolution,[],[f44190,f13238]) ).
fof(f13238,plain,
! [X21,X19,X20] :
( c_Not != hAPP(hAPP(c_Set_Oinsert(X20),X19),X21)
| ~ hBOOL(X19) ),
inference(resolution,[],[f8245,f884]) ).
fof(f884,axiom,
! [X3,X0,X5] : hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X3),X5),X3)),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_insert__code_1) ).
fof(f8245,plain,
! [X8,X9] :
( ~ hBOOL(hAPP(X8,X9))
| ~ hBOOL(X9)
| c_Not != X8 ),
inference(forward_demodulation,[],[f8203,f944]) ).
fof(f8203,plain,
! [X8,X9] :
( ~ hBOOL(hAPP(c_COMBI(tc_bool),X9))
| ~ hBOOL(hAPP(X8,X9))
| c_Not != X8 ),
inference(superposition,[],[f1413,f8142]) ).
fof(f8142,plain,
! [X5] :
( c_COMBI(tc_bool) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_bool,tc_bool)),X5)
| c_Not != X5 ),
inference(superposition,[],[f8097,f367]) ).
fof(f8097,plain,
! [X31] :
( c_Not != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_bool,tc_bool)),X31)
| c_COMBI(tc_bool) = X31 ),
inference(superposition,[],[f70,f2219]) ).
fof(f1413,plain,
! [X0,X9,X5] :
( ~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X5),X9))
| ~ hBOOL(hAPP(X5,X9)) ),
inference(forward_literal_rewriting,[],[f1412,f940]) ).
fof(f1412,plain,
! [X0,X9,X5] :
( ~ hBOOL(hAPP(X5,X9))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X9),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X5))) ),
inference(forward_literal_rewriting,[],[f503,f940]) ).
fof(f503,axiom,
! [X0,X9,X5] :
( ~ hBOOL(hAPP(hAPP(c_in(X0),X9),X5))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X9),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X5))) ),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_ComplD_0) ).
fof(f44190,plain,
! [X2,X3] :
( X2 = X3
| ~ hBOOL(X3)
| ~ hBOOL(X2) ),
inference(superposition,[],[f44149,f44149]) ).
fof(f44149,plain,
! [X6,X7,X5] :
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)),X7) = X5
| ~ hBOOL(X5) ),
inference(superposition,[],[f153,f34634]) ).
fof(f34634,plain,
! [X14,X15] :
( c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)) = c_COMBK(X14,tc_bool,X15)
| ~ hBOOL(X14) ),
inference(forward_literal_rewriting,[],[f34633,f2272]) ).
fof(f2272,plain,
! [X10] :
( ~ hBOOL(hAPP(c_Not,X10))
| ~ hBOOL(X10) ),
inference(forward_demodulation,[],[f2269,f944]) ).
fof(f2269,plain,
! [X10] :
( ~ hBOOL(hAPP(c_COMBI(tc_bool),X10))
| ~ hBOOL(hAPP(c_Not,X10)) ),
inference(superposition,[],[f1413,f2225]) ).
fof(f34633,plain,
! [X14,X15] :
( c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)) = c_COMBK(X14,tc_bool,X15)
| hBOOL(hAPP(c_Not,X14)) ),
inference(forward_demodulation,[],[f34632,f585]) ).
fof(f585,axiom,
! [X0] : c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_Compl__empty__eq_0) ).
fof(f34632,plain,
! [X14,X15] :
( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X15,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool))) = c_COMBK(X14,tc_bool,X15)
| hBOOL(hAPP(c_Not,X14)) ),
inference(forward_literal_rewriting,[],[f34589,f8089]) ).
fof(f34589,plain,
! [X14,X15] :
( c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X15,tc_bool)),c_COMBK(X14,tc_bool,X15))
| hBOOL(hAPP(c_Not,X14)) ),
inference(superposition,[],[f1455,f1081]) ).
fof(f1455,plain,
! [X0,X1,X9,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = hAPP(c_Set_Ovimage(c_COMBK(X9,X1,X0),X0,X1),X5)
| hBOOL(hAPP(X5,X9)) ),
inference(forward_literal_rewriting,[],[f532,f941]) ).
fof(f532,axiom,
! [X0,X1,X9,X5] :
( hBOOL(hAPP(hAPP(c_in(X1),X9),X5))
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = hAPP(c_Set_Ovimage(c_COMBK(X9,X1,X0),X0,X1),X5) ),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_vimage__const_1) ).
fof(f44292,plain,
! [X86,X87] :
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X86,tc_bool)))
| ~ hBOOL(c_Not)
| hBOOL(X87) ),
inference(extensionality_resolution,[],[f44190,f12889]) ).
fof(f12889,plain,
! [X2,X1] :
( c_Not != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| hBOOL(X1) ),
inference(resolution,[],[f8244,f904]) ).
fof(f904,axiom,
! [X3,X0] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X3)),
file('/export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119',cls_bot1E_0) ).
fof(f8244,plain,
! [X6,X7] :
( hBOOL(hAPP(X6,X7))
| hBOOL(X7)
| c_Not != X6 ),
inference(forward_demodulation,[],[f8202,f944]) ).
fof(f8202,plain,
! [X6,X7] :
( hBOOL(hAPP(c_COMBI(tc_bool),X7))
| hBOOL(hAPP(X6,X7))
| c_Not != X6 ),
inference(superposition,[],[f1448,f8142]) ).
fof(f34504,plain,
! [X0] :
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))
| hBOOL(c_Not) ),
inference(condensation,[],[f33653]) ).
fof(f33653,plain,
! [X76,X77] :
( hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X76,tc_bool)))
| hBOOL(c_Not)
| hBOOL(X77) ),
inference(extensionality_resolution,[],[f33565,f12889]) ).
fof(f48150,plain,
! [X8] : ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool))),
inference(subsumption_resolution,[],[f44254,f47973]) ).
fof(f47973,plain,
! [X8,X6,X7] : hBOOL(hAPP(hAPP(c_Set_Oinsert(X6),X7),X8)),
inference(subsumption_resolution,[],[f33621,f47968]) ).
fof(f47968,plain,
! [X905,X904] :
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X904,tc_bool)))
| hBOOL(X905) ),
inference(forward_literal_rewriting,[],[f47559,f44254]) ).
fof(f47559,plain,
! [X906,X905,X904] :
( hBOOL(hAPP(hAPP(c_Set_Oinsert(X904),X905),X906))
| hBOOL(X905) ),
inference(subsumption_resolution,[],[f34095,f47523]) ).
fof(f47523,plain,
! [X0] :
( ~ hBOOL(c_COMBI(tc_bool))
| hBOOL(X0) ),
inference(condensation,[],[f47522]) ).
fof(f47522,plain,
! [X371,X368] :
( ~ hBOOL(c_COMBI(tc_bool))
| hBOOL(X371)
| ~ hBOOL(X368) ),
inference(subsumption_resolution,[],[f44440,f45661]) ).
fof(f45661,plain,
! [X942,X941,X940] : hBOOL(c_COMBK(X940,X941,X942)),
inference(subsumption_resolution,[],[f34533,f45342]) ).
fof(f34533,plain,
! [X942,X941,X940] :
( hBOOL(c_COMBK(X940,X941,X942))
| hBOOL(c_Not) ),
inference(subsumption_resolution,[],[f34113,f34425]) ).
fof(f34425,plain,
! [X1563,X1562,X1564] :
( hBOOL(c_COMBK(X1562,X1563,X1564))
| hBOOL(c_Not)
| hBOOL(X1562) ),
inference(extensionality_resolution,[],[f33565,f13040]) ).
fof(f13040,plain,
! [X2,X0,X1] :
( c_Not != c_COMBK(X0,X1,X2)
| hBOOL(X0) ),
inference(condensation,[],[f12991]) ).
fof(f12991,plain,
! [X90,X88,X89,X87] :
( hBOOL(X87)
| hBOOL(X90)
| c_Not != c_COMBK(X87,X88,X89) ),
inference(superposition,[],[f8244,f153]) ).
fof(f34113,plain,
! [X942,X941,X940] :
( hBOOL(c_COMBK(X940,X941,X942))
| hBOOL(c_Not)
| ~ hBOOL(X940) ),
inference(extensionality_resolution,[],[f33565,f13376]) ).
fof(f13376,plain,
! [X2,X0,X1] :
( c_Not != c_COMBK(X0,X1,X2)
| ~ hBOOL(X0) ),
inference(condensation,[],[f13327]) ).
fof(f13327,plain,
! [X90,X88,X89,X87] :
( ~ hBOOL(X87)
| ~ hBOOL(X90)
| c_Not != c_COMBK(X87,X88,X89) ),
inference(superposition,[],[f8245,f153]) ).
fof(f44440,plain,
! [X371,X370,X369,X368] :
( ~ hBOOL(c_COMBK(X368,X369,X370))
| ~ hBOOL(c_COMBI(tc_bool))
| hBOOL(X371)
| ~ hBOOL(X368) ),
inference(extensionality_resolution,[],[f44190,f24125]) ).
fof(f24125,plain,
! [X118,X116,X117,X115] :
( c_COMBI(tc_bool) != c_COMBK(X115,X116,X117)
| hBOOL(X118)
| ~ hBOOL(X115) ),
inference(superposition,[],[f23531,f153]) ).
fof(f23531,plain,
! [X10,X11] :
( ~ hBOOL(hAPP(X10,X11))
| hBOOL(X11)
| c_COMBI(tc_bool) != X10 ),
inference(forward_literal_rewriting,[],[f23470,f2283]) ).
fof(f23470,plain,
! [X10,X11] :
( ~ hBOOL(hAPP(c_Not,X11))
| ~ hBOOL(hAPP(X10,X11))
| c_COMBI(tc_bool) != X10 ),
inference(superposition,[],[f1413,f8169]) ).
fof(f8169,plain,
! [X5] :
( c_Not = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_bool,tc_bool)),X5)
| c_COMBI(tc_bool) != X5 ),
inference(superposition,[],[f8096,f367]) ).
fof(f8096,plain,
! [X30] :
( c_COMBI(tc_bool) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(tc_bool,tc_bool)),X30)
| c_Not = X30 ),
inference(superposition,[],[f70,f2225]) ).
fof(f34095,plain,
! [X906,X905,X904] :
( hBOOL(hAPP(hAPP(c_Set_Oinsert(X904),X905),X906))
| hBOOL(c_COMBI(tc_bool))
| hBOOL(X905) ),
inference(extensionality_resolution,[],[f33565,f24018]) ).
fof(f24018,plain,
! [X21,X22,X23] :
( c_COMBI(tc_bool) != hAPP(hAPP(c_Set_Oinsert(X22),X21),X23)
| hBOOL(X21) ),
inference(resolution,[],[f23531,f884]) ).
fof(f44254,plain,
! [X10,X8,X9] :
( ~ hBOOL(hAPP(hAPP(c_Set_Oinsert(X8),X9),X10))
| ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool))) ),
inference(extensionality_resolution,[],[f44190,f892]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.27 % Problem : SCT016-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.29 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.29/0.50 % Computer : n002.cluster.edu
% 0.29/0.50 % Model : x86_64 x86_64
% 0.29/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.29/0.50 % Memory : 8042.1875MB
% 0.29/0.50 % OS : Linux 3.10.0-693.el7.x86_64
% 0.29/0.50 % CPULimit : 300
% 0.29/0.50 % WCLimit : 300
% 0.29/0.50 % DateTime : Thu Aug 24 15:46:31 EDT 2023
% 0.29/0.50 % CPUTime :
% 0.29/0.50 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.29/0.50 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.E2ybpKPPAE/Vampire---4.8_24119
% 0.29/0.50 % (24311)Running in auto input_syntax mode. Trying TPTP
% 0.36/0.63 % (24317)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)
% 0.36/0.65 % (24318)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)
% 0.36/0.66 % (24313)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)
% 0.36/0.66 % (24315)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)
% 0.36/0.66 % (24314)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)
% 0.36/0.66 % (24316)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)
% 0.36/0.66 % (24312)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)
% 44.55/6.92 % (24316)First to succeed.
% 44.55/6.93 % (24316)Refutation found. Thanks to Tanya!
% 44.55/6.93 % SZS status Unsatisfiable for Vampire---4
% 44.55/6.93 % SZS output start Proof for Vampire---4
% See solution above
% 44.55/6.93 % (24316)------------------------------
% 44.55/6.93 % (24316)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 44.55/6.93 % (24316)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 44.55/6.93 % (24316)Termination reason: Refutation
% 44.55/6.93
% 44.55/6.93 % (24316)Memory used [KB]: 64348
% 44.55/6.93 % (24316)Time elapsed: 6.270 s
% 44.55/6.93 % (24316)------------------------------
% 44.55/6.93 % (24316)------------------------------
% 44.55/6.93 % (24311)Success in time 6.398 s
% 44.55/6.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------