TSTP Solution File: SET008-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET008-1 : 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 : 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 09:09:22 EDT 2024
% Result : Unsatisfiable 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f41,f34]) ).
fof(f34,plain,
member(h(a,bDa,aI_bDa),a),
inference(subsumption_resolution,[],[f30,f21]) ).
fof(f21,axiom,
! [X8] : ~ member(X8,aI_bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aI_bDa_is_empty) ).
fof(f30,plain,
( member(h(a,bDa,aI_bDa),aI_bDa)
| member(h(a,bDa,aI_bDa),a) ),
inference(resolution,[],[f10,f20]) ).
fof(f20,axiom,
~ intersection(a,bDa,aI_bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bDa) ).
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(f41,plain,
~ member(h(a,bDa,aI_bDa),a),
inference(resolution,[],[f39,f25]) ).
fof(f25,plain,
! [X0] :
( ~ member(X0,bDa)
| ~ member(X0,a) ),
inference(resolution,[],[f14,f19]) ).
fof(f19,axiom,
difference(b,a,bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_minus_a) ).
fof(f14,axiom,
! [X3,X0,X7,X4] :
( ~ difference(X7,X3,X4)
| ~ member(X0,X4)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_member_of_difference) ).
fof(f39,plain,
member(h(a,bDa,aI_bDa),bDa),
inference(subsumption_resolution,[],[f35,f21]) ).
fof(f35,plain,
( member(h(a,bDa,aI_bDa),aI_bDa)
| member(h(a,bDa,aI_bDa),bDa) ),
inference(resolution,[],[f11,f20]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11 % 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 16:50:53 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (25529)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (25531)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 % (25534)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 % (25536)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 % (25535)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 % (25532)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 % (25533)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 % (25530)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 % (25534)First to succeed.
% 0.15/0.33 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.33 Detected maximum model sizes of [max,4,max,max]
% 0.15/0.33 TRYING [1,1,1,1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 % (25534)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25529"
% 0.15/0.33 TRYING [2,1,1,1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [3,1,1,1]
% 0.15/0.33 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 Detected maximum model sizes of [max,4,max,max]
% 0.15/0.33 TRYING [1,1,1,1]
% 0.15/0.33 TRYING [2,1,1,1]
% 0.15/0.33 TRYING [2,2,1,1]
% 0.15/0.33 % (25534)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (25534)------------------------------
% 0.15/0.33 % (25534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.33 % (25534)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (25534)Memory used [KB]: 800
% 0.15/0.33 % (25534)Time elapsed: 0.003 s
% 0.15/0.33 % (25534)Instructions burned: 3 (million)
% 0.15/0.33 % (25529)Success in time 0.016 s
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