TSTP Solution File: SET575+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 09:14:12 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 64 ( 25 ~; 18 |; 15 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 32 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
$false,
inference(subsumption_resolution,[],[f25,f23]) ).
fof(f23,plain,
~ member(sK2(sK1,sK0),sK0),
inference(resolution,[],[f22,f14]) ).
fof(f14,plain,
! [X2] :
( ~ member(X2,sK1)
| ~ member(X2,sK0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X2] :
( ~ member(X2,sK1)
| ~ member(X2,sK0) )
& intersect(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7]) ).
fof(f7,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ member(X2,X1)
| ~ member(X2,X0) )
& intersect(X0,X1) )
=> ( ! [X2] :
( ~ member(X2,sK1)
| ~ member(X2,sK0) )
& intersect(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0,X1] :
( ! [X2] :
( ~ member(X2,X1)
| ~ member(X2,X0) )
& intersect(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ! [X0,X1] :
( intersect(X0,X1)
=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
! [X0,X1] :
( intersect(X0,X1)
=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th15) ).
fof(f22,plain,
member(sK2(sK1,sK0),sK1),
inference(resolution,[],[f16,f19]) ).
fof(f19,plain,
intersect(sK1,sK0),
inference(resolution,[],[f15,f13]) ).
fof(f13,plain,
intersect(sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0,X1] :
( ~ intersect(X0,X1)
| intersect(X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( intersect(X1,X0)
| ~ intersect(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( intersect(X0,X1)
=> intersect(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_intersect) ).
fof(f16,plain,
! [X0,X1] :
( ~ intersect(X0,X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( intersect(X0,X1)
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X2,X0) ) )
& ( ( member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) )
| ~ intersect(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f10,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X1)
& member(X3,X0) )
=> ( member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X0,X1] :
( ( intersect(X0,X1)
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X2,X0) ) )
& ( ? [X3] :
( member(X3,X1)
& member(X3,X0) )
| ~ intersect(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ( intersect(X0,X1)
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X2,X0) ) )
& ( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
| ~ intersect(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( intersect(X0,X1)
<=> ? [X2] :
( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
fof(f25,plain,
member(sK2(sK1,sK0),sK0),
inference(resolution,[],[f17,f19]) ).
fof(f17,plain,
! [X0,X1] :
( ~ intersect(X0,X1)
| member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET575+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:43:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (4369)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (4374)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (4372)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)
% 0.14/0.37 % (4375)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (4373)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (4370)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (4371)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (4376)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 % (4374)First to succeed.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (4375)Also succeeded, but the first one will report.
% 0.14/0.38 % (4372)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2,2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2,2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3,3]
% 0.14/0.38 TRYING [3,3]
% 0.14/0.38 % (4374)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4369"
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4,4]
% 0.14/0.38 TRYING [4,4]
% 0.14/0.38 TRYING [5]
% 0.21/0.38 % (4374)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (4374)------------------------------
% 0.21/0.38 % (4374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (4374)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (4374)Memory used [KB]: 745
% 0.21/0.38 % (4374)Time elapsed: 0.004 s
% 0.21/0.38 % (4374)Instructions burned: 3 (million)
% 0.21/0.38 % (4369)Success in time 0.018 s
%------------------------------------------------------------------------------