TSTP Solution File: SET007-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 15:03:55 EDT 2024
% Result : Unsatisfiable 0.16s 1.02s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 13 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 40 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13418,plain,
$false,
inference(subsumption_resolution,[],[f13404,f990]) ).
fof(f990,plain,
~ member(g(aIb,aIc,aI_bUc),aIb),
inference(subsumption_resolution,[],[f976,f23]) ).
fof(f23,axiom,
~ union(aIb,aIc,aI_bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aIb_union_aIc_is_aI_bUc) ).
fof(f976,plain,
( union(aIb,aIc,aI_bUc)
| ~ member(g(aIb,aIc,aI_bUc),aIb) ),
inference(resolution,[],[f963,f11]) ).
fof(f11,axiom,
! [X3,X4,X5] :
( ~ member(g(X3,X4,X5),X5)
| union(X3,X4,X5)
| ~ member(g(X3,X4,X5),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_axiom2) ).
fof(f963,plain,
member(g(aIb,aIc,aI_bUc),aI_bUc),
inference(resolution,[],[f962,f64]) ).
fof(f64,plain,
( ~ member(g(aIb,aIc,aI_bUc),bUc)
| member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference(resolution,[],[f63,f38]) ).
fof(f38,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,aI_bUc)
| ~ member(X0,bUc) ),
inference(resolution,[],[f15,f22]) ).
fof(f22,axiom,
intersection(a,bUc,aI_bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bUc) ).
fof(f15,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| ~ member(X0,X3)
| member(X0,X6)
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f63,plain,
member(g(aIb,aIc,aI_bUc),a),
inference(subsumption_resolution,[],[f62,f28]) ).
fof(f28,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,a) ),
inference(resolution,[],[f13,f20]) ).
fof(f20,axiom,
intersection(a,b,aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_b) ).
fof(f13,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| member(X0,X3)
| ~ member(X0,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f62,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),a) ),
inference(subsumption_resolution,[],[f54,f29]) ).
fof(f29,plain,
! [X0] :
( ~ member(X0,aIc)
| member(X0,a) ),
inference(resolution,[],[f13,f21]) ).
fof(f21,axiom,
intersection(a,c,aIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_c) ).
fof(f54,plain,
( member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),a) ),
inference(resolution,[],[f47,f30]) ).
fof(f30,plain,
! [X0] :
( ~ member(X0,aI_bUc)
| member(X0,a) ),
inference(resolution,[],[f13,f22]) ).
fof(f47,plain,
( member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),aIb) ),
inference(resolution,[],[f10,f23]) ).
fof(f10,axiom,
! [X3,X4,X5] :
( union(X3,X4,X5)
| member(g(X3,X4,X5),X5)
| member(g(X3,X4,X5),X4)
| member(g(X3,X4,X5),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_axiom1) ).
fof(f962,plain,
member(g(aIb,aIc,aI_bUc),bUc),
inference(subsumption_resolution,[],[f950,f26]) ).
fof(f26,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,bUc) ),
inference(resolution,[],[f8,f19]) ).
fof(f19,axiom,
union(b,c,bUc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_union_c) ).
fof(f8,axiom,
! [X3,X0,X4,X5] :
( ~ union(X3,X4,X5)
| member(X0,X5)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).
fof(f950,plain,
( member(g(aIb,aIc,aI_bUc),bUc)
| member(g(aIb,aIc,aI_bUc),b) ),
inference(resolution,[],[f867,f31]) ).
fof(f31,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,b) ),
inference(resolution,[],[f14,f20]) ).
fof(f14,axiom,
! [X3,X0,X6,X4] :
( ~ intersection(X3,X4,X6)
| member(X0,X4)
| ~ member(X0,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f867,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(subsumption_resolution,[],[f855,f27]) ).
fof(f27,plain,
! [X0] :
( ~ member(X0,c)
| member(X0,bUc) ),
inference(resolution,[],[f9,f19]) ).
fof(f9,axiom,
! [X3,X0,X4,X5] :
( ~ union(X3,X4,X5)
| member(X0,X5)
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set2_is_member_of_union) ).
fof(f855,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),bUc)
| member(g(aIb,aIc,aI_bUc),c) ),
inference(resolution,[],[f53,f32]) ).
fof(f32,plain,
! [X0] :
( ~ member(X0,aIc)
| member(X0,c) ),
inference(resolution,[],[f14,f21]) ).
fof(f53,plain,
( member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),bUc) ),
inference(resolution,[],[f47,f33]) ).
fof(f33,plain,
! [X0] :
( ~ member(X0,aI_bUc)
| member(X0,bUc) ),
inference(resolution,[],[f14,f22]) ).
fof(f13404,plain,
member(g(aIb,aIc,aI_bUc),aIb),
inference(resolution,[],[f13403,f66]) ).
fof(f66,plain,
( ~ member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),aIb) ),
inference(resolution,[],[f63,f36]) ).
fof(f36,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,aIb)
| ~ member(X0,b) ),
inference(resolution,[],[f15,f20]) ).
fof(f13403,plain,
member(g(aIb,aIc,aI_bUc),b),
inference(subsumption_resolution,[],[f13389,f989]) ).
fof(f989,plain,
~ member(g(aIb,aIc,aI_bUc),aIc),
inference(subsumption_resolution,[],[f975,f23]) ).
fof(f975,plain,
( union(aIb,aIc,aI_bUc)
| ~ member(g(aIb,aIc,aI_bUc),aIc) ),
inference(resolution,[],[f963,f12]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( ~ member(g(X3,X4,X5),X5)
| union(X3,X4,X5)
| ~ member(g(X3,X4,X5),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_axiom3) ).
fof(f13389,plain,
( member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),aIc) ),
inference(resolution,[],[f964,f65]) ).
fof(f65,plain,
( ~ member(g(aIb,aIc,aI_bUc),c)
| member(g(aIb,aIc,aI_bUc),aIc) ),
inference(resolution,[],[f63,f37]) ).
fof(f37,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,aIc)
| ~ member(X0,c) ),
inference(resolution,[],[f15,f21]) ).
fof(f964,plain,
( member(g(aIb,aIc,aI_bUc),c)
| member(g(aIb,aIc,aI_bUc),b) ),
inference(resolution,[],[f962,f34]) ).
fof(f34,plain,
! [X0] :
( ~ member(X0,bUc)
| member(X0,b)
| member(X0,c) ),
inference(resolution,[],[f7,f19]) ).
fof(f7,axiom,
! [X3,X0,X4,X5] :
( ~ union(X3,X4,X5)
| member(X0,X4)
| member(X0,X3)
| ~ member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.30 % Problem : SET007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.32 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.53 % Computer : n002.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8042.1875MB
% 0.10/0.53 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Tue Apr 30 01:29:26 EDT 2024
% 0.10/0.53 % CPUTime :
% 0.10/0.53 % (7572)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.55 % (7577)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.55 % (7575)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)
% 0.16/0.55 % (7578)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.56 % (7579)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)
% 0.16/0.56 % (7576)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.56 TRYING [1]
% 0.16/0.56 TRYING [2]
% 0.16/0.56 % (7574)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.56 Detected minimum model sizes of [1,1,1,1]
% 0.16/0.56 Detected maximum model sizes of [max,7,max,max]
% 0.16/0.56 TRYING [1,1,1,1]
% 0.16/0.56 TRYING [2,2,1,1]
% 0.16/0.56 TRYING [3]
% 0.16/0.57 TRYING [3,2,1,1]
% 0.16/0.57 TRYING [4,2,1,1]
% 0.16/0.57 % (7573)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.57 TRYING [1]
% 0.16/0.57 TRYING [2]
% 0.16/0.57 TRYING [3,3,1,1]
% 0.16/0.57 Detected minimum model sizes of [1,1,1,1]
% 0.16/0.57 Detected maximum model sizes of [max,7,max,max]
% 0.16/0.57 TRYING [1,1,1,1]
% 0.16/0.57 TRYING [2,2,1,1]
% 0.16/0.57 TRYING [3]
% 0.16/0.58 TRYING [3,2,1,1]
% 0.16/0.58 TRYING [4,2,1,1]
% 0.16/0.58 TRYING [3,3,1,1]
% 0.16/0.60 TRYING [4]
% 0.16/0.60 TRYING [4]
% 0.16/0.62 TRYING [5,2,1,1]
% 0.16/0.62 TRYING [4,3,1,1]
% 0.16/0.63 TRYING [5,2,1,1]
% 0.16/0.65 TRYING [4,3,1,1]
% 0.16/0.73 TRYING [6,2,1,1]
% 0.16/0.75 TRYING [5,3,1,1]
% 0.16/0.76 TRYING [6,2,1,1]
% 0.16/0.78 TRYING [5,3,1,1]
% 0.16/0.88 TRYING [7,2,1,1]
% 0.16/0.91 TRYING [6,3,1,1]
% 0.16/1.02 % (7577)First to succeed.
% 0.16/1.02 % (7577)Refutation found. Thanks to Tanya!
% 0.16/1.02 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.02 % (7577)------------------------------
% 0.16/1.02 % (7577)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/1.02 % (7577)Termination reason: Refutation
% 0.16/1.02
% 0.16/1.02 % (7577)Memory used [KB]: 3584
% 0.16/1.02 % (7577)Time elapsed: 0.475 s
% 0.16/1.02 % (7577)Instructions burned: 1235 (million)
% 0.16/1.02 % (7577)------------------------------
% 0.16/1.02 % (7577)------------------------------
% 0.16/1.02 % (7572)Success in time 0.491 s
%------------------------------------------------------------------------------