TSTP Solution File: SET015-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET015-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Sun May 5 09:09:27 EDT 2024
% Result : Unsatisfiable 0.15s 0.36s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 27 ( 10 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2302,plain,
$false,
inference(resolution,[],[f2152,f22]) ).
fof(f22,axiom,
~ equal_sets(union(as,bs),union(bs,as)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f2152,plain,
! [X0,X1] : equal_sets(union(X1,X0),union(X0,X1)),
inference(subsumption_resolution,[],[f2150,f736]) ).
fof(f736,plain,
! [X0,X1] : subset(union(X0,X1),union(X1,X0)),
inference(duplicate_literal_removal,[],[f720]) ).
fof(f720,plain,
! [X0,X1] :
( subset(union(X0,X1),union(X1,X0))
| subset(union(X0,X1),union(X1,X0)) ),
inference(resolution,[],[f129,f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ member(member_of_1_not_of_2(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f8,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ member(member_of_1_not_of_2(X2,X3),X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f8,axiom,
! [X0,X4,X5] :
( member(X0,union(X4,X5))
| ~ member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set2_is_member_of_union) ).
fof(f129,plain,
! [X2,X0,X1] :
( member(member_of_1_not_of_2(union(X0,X1),union(X1,X2)),X0)
| subset(union(X0,X1),union(X1,X2)) ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( member(member_of_1_not_of_2(union(X0,X1),union(X1,X2)),X0)
| subset(union(X0,X1),union(X1,X2))
| subset(union(X0,X1),union(X1,X2)) ),
inference(resolution,[],[f47,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ member(member_of_1_not_of_2(X0,union(X1,X2)),X1)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f7,f4]) ).
fof(f7,axiom,
! [X0,X4,X5] :
( member(X0,union(X4,X5))
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).
fof(f47,plain,
! [X2,X0,X1] :
( member(member_of_1_not_of_2(union(X0,X1),X2),X0)
| member(member_of_1_not_of_2(union(X0,X1),X2),X1)
| subset(union(X0,X1),X2) ),
inference(resolution,[],[f9,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( member(member_of_1_not_of_2(X2,X3),X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f9,axiom,
! [X0,X4,X5] :
( ~ member(X0,union(X4,X5))
| member(X0,X4)
| member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).
fof(f2150,plain,
! [X0,X1] :
( ~ subset(union(X0,X1),union(X1,X0))
| equal_sets(union(X1,X0),union(X0,X1)) ),
inference(resolution,[],[f736,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( ~ subset(X7,X6)
| ~ subset(X6,X7)
| equal_sets(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET015-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 16:41:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (2477)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (2481)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)
% 0.15/0.33 % (2483)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 % (2482)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33 % (2485)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)
% 0.15/0.33 % (2479)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (2480)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 % (2484)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1,1,1]
% 0.15/0.33 TRYING [2,1,1]
% 0.15/0.33 TRYING [1,1,1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2,1,1]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3,1,1]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3,1,1]
% 0.15/0.33 TRYING [4,1,1]
% 0.15/0.33 TRYING [4,1,1]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [3,2,1]
% 0.15/0.33 TRYING [3,2,1]
% 0.15/0.33 TRYING [4,2,1]
% 0.15/0.33 TRYING [4,2,1]
% 0.15/0.33 TRYING [5]
% 0.15/0.34 TRYING [5]
% 0.15/0.34 TRYING [3,3,1]
% 0.15/0.34 TRYING [3,3,1]
% 0.15/0.34 TRYING [4,3,1]
% 0.15/0.34 TRYING [4,3,1]
% 0.15/0.34 TRYING [5,1,1]
% 0.15/0.34 TRYING [5,1,1]
% 0.15/0.35 TRYING [6]
% 0.15/0.35 TRYING [5,2,1]
% 0.15/0.35 TRYING [5,2,1]
% 0.15/0.35 TRYING [6]
% 0.15/0.35 TRYING [5,3,1]
% 0.15/0.35 TRYING [5,3,1]
% 0.15/0.36 TRYING [4,4,1]
% 0.15/0.36 % (2484)First to succeed.
% 0.15/0.36 % (2484)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2477"
% 0.15/0.36 TRYING [4,4,1]
% 0.15/0.36 % (2484)Refutation found. Thanks to Tanya!
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36 % (2484)------------------------------
% 0.15/0.36 % (2484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.36 % (2484)Termination reason: Refutation
% 0.15/0.36
% 0.15/0.36 % (2484)Memory used [KB]: 1485
% 0.15/0.36 % (2484)Time elapsed: 0.037 s
% 0.15/0.36 % (2484)Instructions burned: 73 (million)
% 0.15/0.36 % (2477)Success in time 0.053 s
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