TSTP Solution File: SET863-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Tue Apr 30 15:13:50 EDT 2024
% Result : Unsatisfiable 0.10s 0.34s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 42 ( 8 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 124 ( 57 ~; 65 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,plain,
$false,
inference(avatar_sat_refutation,[],[f42,f101,f142]) ).
fof(f142,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f140,f12]) ).
fof(f12,axiom,
c_in(v_xa,v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f140,plain,
( ~ c_in(v_xa,v_x,t_a)
| ~ spl0_1 ),
inference(resolution,[],[f130,f13]) ).
fof(f13,axiom,
~ c_in(v_xa,v_y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f130,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f108,f107]) ).
fof(f107,plain,
( ! [X0,X1] :
( ~ c_in(X0,v_x,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X0,X1,t_a) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f103,f8]) ).
fof(f8,axiom,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f103,plain,
( ! [X0,X1] :
( c_in(X0,X1,t_a)
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| ~ c_in(X0,v_x,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f37,f6]) ).
fof(f6,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(X4,X7,X2)
| ~ c_in(X0,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X7,X2),X0,tc_set(X2))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
fof(f37,plain,
( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_1
<=> c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f108,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f106,f14]) ).
fof(f14,axiom,
! [X8] :
( c_lessequals(X8,v_y,tc_set(t_a))
| ~ c_in(X8,v_c,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f106,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),X1,tc_set(t_a))
| c_in(X0,X1,t_a)
| ~ c_in(X0,v_x,t_a) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f102,f8]) ).
fof(f102,plain,
( ! [X0,X1] :
( c_in(X0,X1,t_a)
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),X1,tc_set(t_a))
| ~ c_in(X0,v_x,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f37,f7]) ).
fof(f7,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_in(c_union(c_insert(X6,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| c_in(X4,X7,X2)
| ~ c_in(X0,c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X7,X2),X7,tc_set(X2))
| ~ c_in(X4,X6,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
fof(f101,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f100,f39,f35]) ).
fof(f39,plain,
( spl0_2
<=> c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f100,plain,
( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f99,f10]) ).
fof(f10,axiom,
c_in(v_x,v_S,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f99,plain,
( ~ c_in(v_x,v_S,tc_set(t_a))
| c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_2 ),
inference(resolution,[],[f67,f9]) ).
fof(f9,axiom,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f67,plain,
( ! [X0] :
( ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,X0,tc_set(t_a))
| c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_2 ),
inference(resolution,[],[f61,f5]) ).
fof(f5,axiom,
! [X2,X0,X4,X5] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X4,X2),X4,tc_set(X2))
| ~ c_in(X0,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X5,tc_set(X2))
| c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
fof(f61,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f60]) ).
fof(f60,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f51,f3]) ).
fof(f3,axiom,
! [X2,X3,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,X3,X2),X3,X2)
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f51,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_x,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f44,f17]) ).
fof(f17,plain,
! [X0] :
( ~ c_in(X0,v_y,t_a)
| c_in(X0,v_x,t_a) ),
inference(resolution,[],[f1,f11]) ).
fof(f11,axiom,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f44,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f43,f2]) ).
fof(f2,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OsubsetI__1(X1,X3,X2),X1,X2)
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f43,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_in(X0,v_y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f41,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ c_in(X1,v_c,tc_set(t_a))
| ~ c_in(X0,X1,t_a)
| c_in(X0,v_y,t_a) ),
inference(resolution,[],[f1,f14]) ).
fof(f41,plain,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f42,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f33,f39,f35]) ).
fof(f33,plain,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f22,f10]) ).
fof(f22,plain,
! [X0] :
( ~ c_in(X0,v_S,tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f4,f9]) ).
fof(f4,axiom,
! [X2,X0,X4,X5] :
( ~ c_in(X0,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
| ~ c_in(X4,X5,tc_set(X2))
| c_in(c_Zorn_Ochain__extend__1(X0,X4,X2),X0,tc_set(X2))
| c_in(c_union(c_insert(X4,c_emptyset,tc_set(X2)),X0,tc_set(X2)),c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n012.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 01:34:41 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (13990)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33 % (13993)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.10/0.33 % (13992)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.33 % (13997)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.33 % (13995)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.33 % (13991)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.33 % (13996)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.33 % (13994)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.34 TRYING [1]
% 0.10/0.34 Detected minimum model sizes of [1,1,1]
% 0.10/0.34 TRYING [1]
% 0.10/0.34 Detected maximum model sizes of [max,1,max]
% 0.10/0.34 TRYING [1,1,1]
% 0.10/0.34 Detected minimum model sizes of [1,1,1]
% 0.10/0.34 Detected maximum model sizes of [max,1,max]
% 0.10/0.34 TRYING [1,1,1]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [2]
% 0.10/0.34 TRYING [2,1,1]
% 0.10/0.34 TRYING [2,1,1]
% 0.10/0.34 % (13996)First to succeed.
% 0.10/0.34 % (13996)Refutation found. Thanks to Tanya!
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.34 % (13996)------------------------------
% 0.10/0.34 % (13996)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.34 % (13996)Termination reason: Refutation
% 0.10/0.34
% 0.10/0.34 % (13996)Memory used [KB]: 857
% 0.10/0.34 % (13996)Time elapsed: 0.007 s
% 0.10/0.34 % (13996)Instructions burned: 12 (million)
% 0.10/0.34 % (13996)------------------------------
% 0.10/0.34 % (13996)------------------------------
% 0.10/0.34 % (13990)Success in time 0.022 s
%------------------------------------------------------------------------------