TSTP Solution File: SET011-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET011-1 : 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 : 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 : Sun May 5 09:09:23 EDT 2024
% Result : Unsatisfiable 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 25 ~; 29 |; 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 : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f983,plain,
$false,
inference(subsumption_resolution,[],[f980,f115]) ).
fof(f115,plain,
member(h(a,b,aD_aDb),b),
inference(subsumption_resolution,[],[f112,f36]) ).
fof(f36,plain,
( member(h(a,b,aD_aDb),aDb)
| member(h(a,b,aD_aDb),b) ),
inference(resolution,[],[f35,f29]) ).
fof(f29,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,aDb)
| member(X0,b) ),
inference(resolution,[],[f15,f19]) ).
fof(f19,axiom,
difference(a,b,aDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_minus_b) ).
fof(f15,axiom,
! [X3,X0,X6,X4] :
( ~ difference(X3,X4,X6)
| member(X0,X4)
| member(X0,X6)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference_or_set2) ).
fof(f35,plain,
member(h(a,b,aD_aDb),a),
inference(subsumption_resolution,[],[f31,f25]) ).
fof(f25,plain,
! [X0] :
( ~ member(X0,aD_aDb)
| member(X0,a) ),
inference(resolution,[],[f13,f20]) ).
fof(f20,axiom,
difference(a,aDb,aD_aDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_minus_aDb) ).
fof(f13,axiom,
! [X3,X0,X6,X4] :
( ~ difference(X3,X4,X6)
| member(X0,X3)
| ~ member(X0,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference) ).
fof(f31,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),a) ),
inference(resolution,[],[f10,f21]) ).
fof(f21,axiom,
~ intersection(a,b,aD_aDb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_intersection_b_is_aD_aDb) ).
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/sandbox/benchmark/theBenchmark.p',intersection_axiom1) ).
fof(f112,plain,
( member(h(a,b,aD_aDb),b)
| ~ member(h(a,b,aD_aDb),aDb) ),
inference(resolution,[],[f108,f27]) ).
fof(f27,plain,
! [X0] :
( ~ member(X0,aD_aDb)
| ~ member(X0,aDb) ),
inference(resolution,[],[f14,f20]) ).
fof(f14,axiom,
! [X3,X0,X7,X4] :
( ~ difference(X7,X3,X4)
| ~ member(X0,X4)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_member_of_difference) ).
fof(f108,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),b) ),
inference(resolution,[],[f11,f21]) ).
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/sandbox/benchmark/theBenchmark.p',intersection_axiom2) ).
fof(f980,plain,
~ member(h(a,b,aD_aDb),b),
inference(resolution,[],[f975,f26]) ).
fof(f26,plain,
! [X0] :
( ~ member(X0,aDb)
| ~ member(X0,b) ),
inference(resolution,[],[f14,f19]) ).
fof(f975,plain,
member(h(a,b,aD_aDb),aDb),
inference(subsumption_resolution,[],[f905,f465]) ).
fof(f465,plain,
~ member(h(a,b,aD_aDb),aD_aDb),
inference(subsumption_resolution,[],[f464,f115]) ).
fof(f464,plain,
( ~ member(h(a,b,aD_aDb),b)
| ~ member(h(a,b,aD_aDb),aD_aDb) ),
inference(subsumption_resolution,[],[f461,f21]) ).
fof(f461,plain,
( intersection(a,b,aD_aDb)
| ~ member(h(a,b,aD_aDb),b)
| ~ member(h(a,b,aD_aDb),aD_aDb) ),
inference(resolution,[],[f12,f35]) ).
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/sandbox/benchmark/theBenchmark.p',intersection_axiom3) ).
fof(f905,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),aDb) ),
inference(resolution,[],[f30,f35]) ).
fof(f30,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,aD_aDb)
| member(X0,aDb) ),
inference(resolution,[],[f15,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:26:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (23086)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (23087)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (23089)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)
% 0.15/0.38 % (23090)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (23091)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (23088)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (23092)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (23093)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.39 Detected maximum model sizes of [max,4,max,max]
% 0.15/0.39 Detected maximum model sizes of [max,4,max,max]
% 0.15/0.39 TRYING [1,1,1,1]
% 0.15/0.39 TRYING [1,1,1,1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2,1,1,1]
% 0.15/0.39 TRYING [2,1,1,1]
% 0.15/0.39 TRYING [3,1,1,1]
% 0.15/0.39 TRYING [3,1,1,1]
% 0.15/0.39 TRYING [2,2,1,1]
% 0.15/0.39 TRYING [2,2,1,1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4,1,1,1]
% 0.15/0.39 TRYING [4,1,1,1]
% 0.15/0.39 TRYING [3,2,1,1]
% 0.15/0.39 TRYING [3,2,1,1]
% 0.22/0.39 TRYING [5,1,1,1]
% 0.22/0.39 TRYING [5,1,1,1]
% 0.22/0.39 TRYING [4,2,1,1]
% 0.22/0.39 TRYING [4,2,1,1]
% 0.22/0.40 TRYING [6,1,1,1]
% 0.22/0.40 TRYING [6,1,1,1]
% 0.22/0.40 TRYING [5,2,1,1]
% 0.22/0.40 TRYING [5,2,1,1]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [7,1,1,1]
% 0.22/0.40 TRYING [7,1,1,1]
% 0.22/0.40 TRYING [6,2,1,1]
% 0.22/0.40 TRYING [6,2,1,1]
% 0.22/0.40 TRYING [8,1,1,1]
% 0.22/0.40 TRYING [8,1,1,1]
% 0.22/0.40 TRYING [7,2,1,1]
% 0.22/0.41 TRYING [7,2,1,1]
% 0.22/0.41 % (23091)First to succeed.
% 0.22/0.41 % (23091)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23086"
% 0.22/0.41 % (23091)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (23091)------------------------------
% 0.22/0.41 % (23091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41 % (23091)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (23091)Memory used [KB]: 934
% 0.22/0.41 % (23091)Time elapsed: 0.023 s
% 0.22/0.41 % (23091)Instructions burned: 44 (million)
% 0.22/0.41 % (23086)Success in time 0.04 s
%------------------------------------------------------------------------------