TSTP Solution File: SET861-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n026.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 15:46:05 EDT 2023
% Result : Unsatisfiable 2.62s 0.78s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 187 ( 3 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 255 ( 123 ~; 132 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 140 (; 140 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3274,plain,
$false,
inference(subsumption_resolution,[],[f3271,f3172]) ).
fof(f3172,plain,
~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f120,f121,f77,f7,f3132,f65]) ).
fof(f65,plain,
! [X10,X11,X8,X6,X9,X7] :
( c_in(c_Zorn_Ochain__extend__1(X9,X11,X8),X9,tc_set(X8))
| ~ c_in(X9,c_Zorn_Omaxchain(X10,X8),tc_set(tc_set(X8)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X9,X7,X8),X7,tc_set(X8))
| ~ c_in(X6,X11,X8)
| c_in(X6,X7,X8)
| ~ c_in(X11,X10,tc_set(X8)) ),
inference(subsumption_resolution,[],[f63,f34]) ).
fof(f34,plain,
! [X10,X8,X9] :
( c_in(X8,c_Zorn_Ochain(X9,X10),tc_set(tc_set(X10)))
| ~ c_in(X8,c_Zorn_Omaxchain(X9,X10),tc_set(tc_set(X10))) ),
inference(resolution,[],[f2,f8]) ).
fof(f8,axiom,
! [X2,X5] : c_lessequals(c_Zorn_Omaxchain(X5,X2),c_Zorn_Ochain(X5,X2),tc_set(tc_set(tc_set(X2)))),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Zorn_Omaxchain__subset__chain_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| c_in(X3,X0,X2)
| ~ c_in(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Set_OsubsetD_0) ).
fof(f63,plain,
! [X10,X11,X8,X6,X9,X7] :
( c_in(X6,X7,X8)
| ~ c_in(X9,c_Zorn_Omaxchain(X10,X8),tc_set(tc_set(X8)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X9,X7,X8),X7,tc_set(X8))
| ~ c_in(X6,X11,X8)
| ~ c_in(X9,c_Zorn_Ochain(X10,X8),tc_set(tc_set(X8)))
| c_in(c_Zorn_Ochain__extend__1(X9,X11,X8),X9,tc_set(X8))
| ~ c_in(X11,X10,tc_set(X8)) ),
inference(resolution,[],[f10,f5]) ).
fof(f5,axiom,
! [X2,X3,X4,X5] :
( c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X4,X2),X3,tc_set(X2))
| ~ c_in(X4,X5,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Zorn_Ochain__extend_0) ).
fof(f10,axiom,
! [X2,X3,X6,X7,X4,X5] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(X4,X7,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X7,X2),X7,tc_set(X2))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Zorn_Omaxchain__super__lemma_1) ).
fof(f3132,plain,
~ c_in(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f3074,f2163]) ).
fof(f2163,plain,
! [X45] :
( c_lessequals(X45,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| ~ c_in(X45,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f2162]) ).
fof(f2162,plain,
! [X45] :
( ~ c_in(X45,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(X45,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a))
| c_lessequals(X45,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
inference(resolution,[],[f362,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X1,X0,X2),X1,X2)
| c_lessequals(X1,X0,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Set_OsubsetI_0) ).
fof(f362,plain,
! [X2,X1] :
( ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,t_a)
| ~ c_in(X1,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| c_lessequals(X2,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
inference(subsumption_resolution,[],[f358,f73]) ).
fof(f73,plain,
c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a)),
inference(unit_resulting_resolution,[],[f29,f11]) ).
fof(f11,axiom,
! [X8] :
( ~ c_in(X8,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(v_x(X8),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_conjecture_0) ).
fof(f29,plain,
! [X0,X1] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
inference(unit_resulting_resolution,[],[f7,f8,f2]) ).
fof(f358,plain,
! [X2,X1] :
( ~ c_in(X1,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X2,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),X1,t_a)
| ~ c_in(v_x(c_Zorn_OHausdorff__1(v_S,t_a)),v_S,tc_set(t_a))
| c_lessequals(X2,v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)) ),
inference(resolution,[],[f210,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_xa(X1),t_a),X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| c_lessequals(X0,v_xa(X1),tc_set(t_a)) ),
inference(resolution,[],[f31,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,X0,X2),X0,X2)
| c_lessequals(X1,X0,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Set_OsubsetI_1) ).
fof(f31,plain,
! [X0,X1] :
( c_in(X0,v_xa(X1),t_a)
| ~ c_in(X0,X1,t_a)
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(resolution,[],[f2,f13]) ).
fof(f13,axiom,
! [X8] :
( c_lessequals(X8,v_xa(X8),tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_conjecture_2) ).
fof(f210,plain,
! [X0,X1] :
( c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X0,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X1,X0,t_a) ),
inference(resolution,[],[f75,f2]) ).
fof(f75,plain,
! [X0] :
( c_lessequals(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a))
| ~ c_in(X0,c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)) ),
inference(resolution,[],[f29,f15]) ).
fof(f15,axiom,
! [X8,X9] :
( ~ c_in(X8,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X9,v_x(X8),tc_set(t_a))
| ~ c_in(X9,X8,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_conjecture_4) ).
fof(f3074,plain,
~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f77,f121,f120,f3044]) ).
fof(f3044,plain,
! [X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))
| c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,X1,t_a) ),
inference(duplicate_literal_removal,[],[f3043]) ).
fof(f3043,plain,
! [X0,X1] :
( c_in(X0,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X1,t_a),X1,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X0,X1,t_a)
| ~ c_in(X0,X1,t_a) ),
inference(condensation,[],[f3042]) ).
fof(f3042,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,X0,t_a)
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X0,t_a) ),
inference(duplicate_literal_removal,[],[f3041]) ).
fof(f3041,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,X0,t_a)
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X0,t_a)
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(condensation,[],[f3040]) ).
fof(f3040,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X0,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| c_in(X1,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X1,X0,t_a)
| c_in(X2,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X2,X3,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X3,t_a),X3,tc_set(t_a))
| ~ c_in(X3,v_S,tc_set(t_a)) ),
inference(resolution,[],[f640,f7]) ).
fof(f640,plain,
! [X8,X6,X9,X7,X5] :
( ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(X7,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X6,t_a),X6,tc_set(t_a))
| ~ c_in(X6,v_S,tc_set(t_a))
| c_in(X5,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X5,X6,t_a)
| c_in(X8,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a)
| ~ c_in(X8,X9,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(v_S,t_a),X9,t_a),X9,tc_set(t_a))
| ~ c_in(X9,X7,tc_set(t_a)) ),
inference(resolution,[],[f479,f55]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X3,tc_set(X2))
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(X0,X1,X2)
| ~ c_in(X0,X5,X2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X5,X2),X5,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(subsumption_resolution,[],[f53,f34]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,X1,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X3,tc_set(X2))
| ~ c_in(X0,X5,X2)
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X5,X2),X5,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f9,f6]) ).
fof(f6,axiom,
! [X2,X3,X4,X5] :
( c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X4,X2),X4,tc_set(X2))
| ~ c_in(X4,X5,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Zorn_Ochain__extend_1) ).
fof(f9,axiom,
! [X2,X3,X6,X7,X4,X5] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(X4,X7,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X7,X2),X3,tc_set(X2))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Zorn_Omaxchain__super__lemma_0) ).
fof(f479,plain,
! [X21,X22,X23] :
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X23,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a))
| ~ c_in(X21,X22,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X23,t_a),X22,t_a),X22,tc_set(t_a))
| ~ c_in(X22,X23,tc_set(t_a))
| c_in(X21,v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a) ),
inference(resolution,[],[f189,f75]) ).
fof(f189,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(X3,X2),X1,X2),X1,tc_set(X2))
| c_in(X0,X1,X2)
| ~ c_in(X0,X4,X2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(c_Zorn_OHausdorff__1(X3,X2),X4,X2),X4,tc_set(X2))
| ~ c_in(X4,X3,tc_set(X2)) ),
inference(resolution,[],[f64,f7]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| c_in(X0,X1,X2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,X5,X2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X5,X2),X5,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(subsumption_resolution,[],[f62,f34]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,X1,X2)
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,X5,X2)
| ~ c_in(X3,c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X5,X2),X5,tc_set(X2))
| ~ c_in(X5,X4,tc_set(X2)) ),
inference(resolution,[],[f10,f6]) ).
fof(f7,axiom,
! [X2,X5] : c_in(c_Zorn_OHausdorff__1(X5,X2),c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Zorn_OHausdorff_0) ).
fof(f77,plain,
c_in(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_S,tc_set(t_a)),
inference(unit_resulting_resolution,[],[f73,f12]) ).
fof(f12,axiom,
! [X8] :
( c_in(v_xa(X8),v_S,tc_set(t_a))
| ~ c_in(X8,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_conjecture_1) ).
fof(f121,plain,
c_in(c_Main_OsubsetI__1(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),t_a),
inference(unit_resulting_resolution,[],[f80,f3]) ).
fof(f80,plain,
~ c_lessequals(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f73,f28]) ).
fof(f28,plain,
! [X0] :
( ~ c_lessequals(v_xa(X0),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f23,f14]) ).
fof(f14,axiom,
! [X8] :
( v_xa(X8) != X8
| ~ c_in(X8,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_conjecture_3) ).
fof(f23,plain,
! [X0] :
( v_xa(X0) = X0
| ~ c_lessequals(v_xa(X0),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(resolution,[],[f1,f13]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286',cls_Set_Osubset__antisym_0) ).
fof(f120,plain,
~ c_in(c_Main_OsubsetI__1(v_xa(v_x(c_Zorn_OHausdorff__1(v_S,t_a))),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),
inference(unit_resulting_resolution,[],[f80,f4]) ).
fof(f3271,plain,
c_lessequals(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f7,f3173,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(X1,v_x(X0),tc_set(t_a))
| ~ c_in(X1,X0,tc_set(t_a)) ),
inference(resolution,[],[f34,f15]) ).
fof(f3173,plain,
c_in(c_Zorn_Omaxchain__super__lemma__1(c_Zorn_OHausdorff__1(v_S,t_a),v_x(c_Zorn_OHausdorff__1(v_S,t_a)),t_a),c_Zorn_OHausdorff__1(v_S,t_a),tc_set(t_a)),
inference(unit_resulting_resolution,[],[f120,f121,f77,f7,f3132,f56]) ).
fof(f56,plain,
! [X10,X11,X8,X6,X9,X7] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(X9,X7,X8),X9,tc_set(X8))
| ~ c_in(X9,c_Zorn_Omaxchain(X10,X8),tc_set(tc_set(X8)))
| c_in(X6,X7,X8)
| ~ c_in(X6,X11,X8)
| c_in(c_Zorn_Ochain__extend__1(X9,X11,X8),X9,tc_set(X8))
| ~ c_in(X11,X10,tc_set(X8)) ),
inference(subsumption_resolution,[],[f54,f34]) ).
fof(f54,plain,
! [X10,X11,X8,X6,X9,X7] :
( c_in(X6,X7,X8)
| ~ c_in(X9,c_Zorn_Omaxchain(X10,X8),tc_set(tc_set(X8)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X9,X7,X8),X9,tc_set(X8))
| ~ c_in(X6,X11,X8)
| ~ c_in(X9,c_Zorn_Ochain(X10,X8),tc_set(tc_set(X8)))
| c_in(c_Zorn_Ochain__extend__1(X9,X11,X8),X9,tc_set(X8))
| ~ c_in(X11,X10,tc_set(X8)) ),
inference(resolution,[],[f9,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.38 % Computer : n026.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Sat Aug 26 09:37:33 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.0ywYrhaGMR/Vampire---4.8_20286
% 0.15/0.38 % (20434)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.44 % (20440)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.25/0.44 % (20438)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.25/0.44 % (20435)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.25/0.44 % (20439)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.25/0.44 % (20436)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.25/0.44 % (20441)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.25/0.44 % (20437)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.25/0.45 % (20438)Refutation not found, incomplete strategy% (20438)------------------------------
% 0.25/0.45 % (20438)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.45 % (20438)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.45 % (20438)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.45
% 0.25/0.45 % (20438)Memory used [KB]: 9978
% 0.25/0.45 % (20438)Time elapsed: 0.006 s
% 0.25/0.45 % (20438)------------------------------
% 0.25/0.45 % (20438)------------------------------
% 0.25/0.48 % (20437)Refutation not found, incomplete strategy% (20437)------------------------------
% 0.25/0.48 % (20437)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.48 % (20437)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.48 % (20437)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.48
% 0.25/0.48 % (20437)Memory used [KB]: 1023
% 0.25/0.48 % (20437)Time elapsed: 0.041 s
% 0.25/0.48 % (20437)------------------------------
% 0.25/0.48 % (20437)------------------------------
% 0.25/0.51 % (20442)ott+10_5_av=off:bsr=on:br=off:drc=off:fsd=off:fsr=off:fde=unused:gsp=on:lcm=predicate:lma=on:nwc=2.5:sos=all:sp=occurrence:tgt=full:urr=on_375 on Vampire---4 for (375ds/0Mi)
% 0.25/0.51 % (20442)Refutation not found, incomplete strategy% (20442)------------------------------
% 0.25/0.51 % (20442)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.51 % (20442)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.51 % (20442)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.51
% 0.25/0.51 % (20442)Memory used [KB]: 1023
% 0.25/0.51 % (20442)Time elapsed: 0.003 s
% 0.25/0.51 % (20442)------------------------------
% 0.25/0.51 % (20442)------------------------------
% 0.25/0.54 % (20443)lrs-1010_3_aac=none:anc=none:er=known:fsd=off:fde=unused:gs=on:lcm=predicate:sos=on:sp=weighted_frequency:tgt=ground:stl=62_365 on Vampire---4 for (365ds/0Mi)
% 0.25/0.54 % (20443)Refutation not found, incomplete strategy% (20443)------------------------------
% 0.25/0.54 % (20443)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.54 % (20443)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.54 % (20443)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.54
% 0.25/0.54 % (20443)Memory used [KB]: 9850
% 0.25/0.54 % (20443)Time elapsed: 0.002 s
% 0.25/0.54 % (20443)------------------------------
% 0.25/0.54 % (20443)------------------------------
% 0.25/0.55 % (20444)ott+10_128_aac=none:add=large:afr=on:anc=all_dependent:bsr=on:bce=on:fsd=off:irw=on:nm=2:nwc=1.5:sp=scramble:tgt=full_251 on Vampire---4 for (251ds/0Mi)
% 0.25/0.57 % (20445)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_224 on Vampire---4 for (224ds/0Mi)
% 2.62/0.78 % (20445)First to succeed.
% 2.62/0.78 % (20445)Refutation found. Thanks to Tanya!
% 2.62/0.78 % SZS status Unsatisfiable for Vampire---4
% 2.62/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 2.62/0.79 % (20445)------------------------------
% 2.62/0.79 % (20445)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.62/0.79 % (20445)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.62/0.79 % (20445)Termination reason: Refutation
% 2.62/0.79
% 2.62/0.79 % (20445)Memory used [KB]: 7675
% 2.62/0.79 % (20445)Time elapsed: 0.213 s
% 2.62/0.79 % (20445)------------------------------
% 2.62/0.79 % (20445)------------------------------
% 2.62/0.79 % (20434)Success in time 0.399 s
% 2.62/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------