TSTP Solution File: SET005-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET005-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 May 21 03:14:16 EDT 2024
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 12 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 32 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f577,plain,
$false,
inference(subsumption_resolution,[],[f576,f36]) ).
fof(f36,plain,
member(h(aIb,c,aIbIc),a),
inference(subsumption_resolution,[],[f34,f19]) ).
fof(f19,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,a) ),
inference(resolution,[],[f7,f13]) ).
fof(f13,axiom,
intersection(a,b,aIb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_b) ).
fof(f7,axiom,
! [X3,X0,X4,X5] :
( ~ intersection(X3,X4,X5)
| member(X0,X3)
| ~ member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f34,plain,
( member(h(aIb,c,aIbIc),aIb)
| member(h(aIb,c,aIbIc),a) ),
inference(resolution,[],[f29,f20]) ).
fof(f20,plain,
! [X0] :
( ~ member(X0,aIbIc)
| member(X0,a) ),
inference(resolution,[],[f7,f15]) ).
fof(f15,axiom,
intersection(a,bIc,aIbIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bIc) ).
fof(f29,plain,
( member(h(aIb,c,aIbIc),aIbIc)
| member(h(aIb,c,aIbIc),aIb) ),
inference(resolution,[],[f10,f16]) ).
fof(f16,axiom,
~ intersection(aIb,c,aIbIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aIb_intersection_c_is_aIbIc) ).
fof(f10,axiom,
! [X3,X4,X5] :
( intersection(X3,X4,X5)
| member(h(X3,X4,X5),X5)
| member(h(X3,X4,X5),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_axiom1) ).
fof(f576,plain,
~ member(h(aIb,c,aIbIc),a),
inference(subsumption_resolution,[],[f572,f248]) ).
fof(f248,plain,
~ member(h(aIb,c,aIbIc),aIbIc),
inference(subsumption_resolution,[],[f247,f112]) ).
fof(f112,plain,
member(h(aIb,c,aIbIc),c),
inference(subsumption_resolution,[],[f109,f24]) ).
fof(f24,plain,
! [X0] :
( ~ member(X0,bIc)
| member(X0,c) ),
inference(resolution,[],[f8,f14]) ).
fof(f14,axiom,
intersection(b,c,bIc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_intersection_c) ).
fof(f8,axiom,
! [X3,X0,X4,X5] :
( ~ intersection(X3,X4,X5)
| member(X0,X4)
| ~ member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f109,plain,
( member(h(aIb,c,aIbIc),c)
| member(h(aIb,c,aIbIc),bIc) ),
inference(resolution,[],[f100,f23]) ).
fof(f23,plain,
! [X0] :
( ~ member(X0,aIbIc)
| member(X0,bIc) ),
inference(resolution,[],[f8,f15]) ).
fof(f100,plain,
( member(h(aIb,c,aIbIc),aIbIc)
| member(h(aIb,c,aIbIc),c) ),
inference(resolution,[],[f11,f16]) ).
fof(f11,axiom,
! [X3,X4,X5] :
( intersection(X3,X4,X5)
| member(h(X3,X4,X5),X5)
| member(h(X3,X4,X5),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_axiom2) ).
fof(f247,plain,
( ~ member(h(aIb,c,aIbIc),c)
| ~ member(h(aIb,c,aIbIc),aIbIc) ),
inference(subsumption_resolution,[],[f232,f16]) ).
fof(f232,plain,
( intersection(aIb,c,aIbIc)
| ~ member(h(aIb,c,aIbIc),c)
| ~ member(h(aIb,c,aIbIc),aIbIc) ),
inference(resolution,[],[f12,f75]) ).
fof(f75,plain,
member(h(aIb,c,aIbIc),aIb),
inference(subsumption_resolution,[],[f73,f36]) ).
fof(f73,plain,
( member(h(aIb,c,aIbIc),aIb)
| ~ member(h(aIb,c,aIbIc),a) ),
inference(resolution,[],[f72,f26]) ).
fof(f26,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,aIb)
| ~ member(X0,a) ),
inference(resolution,[],[f9,f13]) ).
fof(f9,axiom,
! [X3,X0,X4,X5] :
( ~ intersection(X3,X4,X5)
| ~ member(X0,X3)
| member(X0,X5)
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f72,plain,
member(h(aIb,c,aIbIc),b),
inference(subsumption_resolution,[],[f70,f22]) ).
fof(f22,plain,
! [X0] :
( ~ member(X0,aIb)
| member(X0,b) ),
inference(resolution,[],[f8,f13]) ).
fof(f70,plain,
( member(h(aIb,c,aIbIc),aIb)
| member(h(aIb,c,aIbIc),b) ),
inference(resolution,[],[f33,f21]) ).
fof(f21,plain,
! [X0] :
( ~ member(X0,bIc)
| member(X0,b) ),
inference(resolution,[],[f7,f14]) ).
fof(f33,plain,
( member(h(aIb,c,aIbIc),bIc)
| member(h(aIb,c,aIbIc),aIb) ),
inference(resolution,[],[f29,f23]) ).
fof(f12,axiom,
! [X3,X4,X5] :
( ~ member(h(X3,X4,X5),X3)
| intersection(X3,X4,X5)
| ~ member(h(X3,X4,X5),X4)
| ~ member(h(X3,X4,X5),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_axiom3) ).
fof(f572,plain,
( member(h(aIb,c,aIbIc),aIbIc)
| ~ member(h(aIb,c,aIbIc),a) ),
inference(resolution,[],[f559,f27]) ).
fof(f27,plain,
! [X0] :
( ~ member(X0,bIc)
| member(X0,aIbIc)
| ~ member(X0,a) ),
inference(resolution,[],[f9,f15]) ).
fof(f559,plain,
member(h(aIb,c,aIbIc),bIc),
inference(subsumption_resolution,[],[f523,f72]) ).
fof(f523,plain,
( member(h(aIb,c,aIbIc),bIc)
| ~ member(h(aIb,c,aIbIc),b) ),
inference(resolution,[],[f28,f112]) ).
fof(f28,plain,
! [X0] :
( ~ member(X0,c)
| member(X0,bIc)
| ~ member(X0,b) ),
inference(resolution,[],[f9,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET005-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 12:19:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (11810)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (11817)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)
% 0.14/0.36 % (11816)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.36 % (11814)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 % (11811)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.36 Detected maximum model sizes of [max,6,max,max]
% 0.14/0.36 TRYING [1,1,1,1]
% 0.14/0.36 TRYING [2,2,1,1]
% 0.14/0.36 % (11812)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.36 Detected maximum model sizes of [max,6,max,max]
% 0.14/0.36 TRYING [1,1,1,1]
% 0.14/0.36 TRYING [3,2,1,1]
% 0.14/0.36 TRYING [2,2,1,1]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 TRYING [3,2,1,1]
% 0.14/0.36 TRYING [4,2,1,1]
% 0.14/0.36 TRYING [4,2,1,1]
% 0.14/0.37 TRYING [3,3,1,1]
% 0.14/0.37 TRYING [3,3,1,1]
% 0.14/0.37 TRYING [4]
% 0.14/0.38 % (11815)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (11813)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)
% 0.14/0.38 TRYING [5,2,1,1]
% 0.14/0.38 TRYING [5,2,1,1]
% 0.14/0.38 TRYING [4,3,1,1]
% 0.14/0.38 TRYING [4,3,1,1]
% 0.14/0.38 TRYING [4]
% 0.20/0.40 % (11815)First to succeed.
% 0.20/0.40 % (11815)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11810"
% 0.20/0.41 % (11815)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (11815)------------------------------
% 0.20/0.41 % (11815)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41 % (11815)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (11815)Memory used [KB]: 911
% 0.20/0.41 % (11815)Time elapsed: 0.019 s
% 0.20/0.41 % (11815)Instructions burned: 27 (million)
% 0.20/0.41 % (11810)Success in time 0.062 s
%------------------------------------------------------------------------------