TSTP Solution File: SET009-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET009-1 : 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 : n027.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 15:03:56 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,plain,
$false,
inference(subsumption_resolution,[],[f39,f30]) ).
fof(f30,plain,
~ member(member_of_1_not_of_2(bDa,bDd),a),
inference(resolution,[],[f28,f17]) ).
fof(f17,plain,
member(member_of_1_not_of_2(bDa,bDd),bDa),
inference(resolution,[],[f2,f16]) ).
fof(f16,axiom,
~ subset(bDa,bDd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bDa_is_a_subset_of_bDd) ).
fof(f2,axiom,
! [X2,X1] :
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f28,plain,
! [X0] :
( ~ member(X0,bDa)
| ~ member(X0,a) ),
inference(resolution,[],[f8,f14]) ).
fof(f14,axiom,
difference(b,a,bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).
fof(f8,axiom,
! [X3,X0,X6,X4] :
( ~ difference(X6,X3,X4)
| ~ member(X0,X4)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_member_of_difference) ).
fof(f39,plain,
member(member_of_1_not_of_2(bDa,bDd),a),
inference(resolution,[],[f38,f18]) ).
fof(f18,plain,
! [X0] :
( ~ member(X0,d)
| member(X0,a) ),
inference(resolution,[],[f1,f13]) ).
fof(f13,axiom,
subset(d,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_a_subset_of_a) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ member(X0,X1)
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',membership_in_subsets) ).
fof(f38,plain,
member(member_of_1_not_of_2(bDa,bDd),d),
inference(subsumption_resolution,[],[f35,f16]) ).
fof(f35,plain,
( member(member_of_1_not_of_2(bDa,bDd),d)
| subset(bDa,bDd) ),
inference(resolution,[],[f34,f3]) ).
fof(f3,axiom,
! [X2,X1] :
( ~ member(member_of_1_not_of_2(X1,X2),X2)
| subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f34,plain,
( member(member_of_1_not_of_2(bDa,bDd),bDd)
| member(member_of_1_not_of_2(bDa,bDd),d) ),
inference(resolution,[],[f32,f27]) ).
fof(f27,plain,
member(member_of_1_not_of_2(bDa,bDd),b),
inference(resolution,[],[f25,f17]) ).
fof(f25,plain,
! [X0] :
( ~ member(X0,bDa)
| member(X0,b) ),
inference(resolution,[],[f7,f14]) ).
fof(f7,axiom,
! [X3,X0,X4,X5] :
( ~ difference(X3,X4,X5)
| member(X0,X3)
| ~ member(X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference) ).
fof(f32,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,bDd)
| member(X0,d) ),
inference(resolution,[],[f9,f15]) ).
fof(f15,axiom,
difference(b,d,bDd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_d) ).
fof(f9,axiom,
! [X3,X0,X4,X5] :
( ~ difference(X3,X4,X5)
| member(X0,X4)
| member(X0,X5)
| ~ member(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_difference_or_set2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n027.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 01:47:02 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (10948)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (10952)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (10954)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (10953)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (10955)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)
% 0.14/0.39 % (10951)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)
% 0.14/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.39 Detected maximum model sizes of [max,5,max,max]
% 0.14/0.39 TRYING [1,1,1,1]
% 0.14/0.39 TRYING [2,2,1,1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 % (10953)First to succeed.
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3,2,1,1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (10953)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (10953)------------------------------
% 0.14/0.39 % (10953)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (10953)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (10953)Memory used [KB]: 782
% 0.14/0.39 % (10953)Time elapsed: 0.003 s
% 0.14/0.39 % (10953)Instructions burned: 3 (million)
% 0.14/0.39 % (10953)------------------------------
% 0.14/0.39 % (10953)------------------------------
% 0.14/0.39 % (10948)Success in time 0.017 s
%------------------------------------------------------------------------------