TSTP Solution File: SEU161+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 15:22:42 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 23 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 2 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(trivial_inequality_removal,[],[f47]) ).
fof(f47,plain,
sK1 != sK1,
inference(superposition,[],[f24,f44]) ).
fof(f44,plain,
sK1 = set_union2(singleton(sK0),sK1),
inference(resolution,[],[f30,f23]) ).
fof(f23,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( sK1 != set_union2(singleton(sK0),sK1)
& in(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) )
=> ( sK1 != set_union2(singleton(sK0),sK1)
& in(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).
fof(f30,plain,
! [X0,X1] :
( ~ in(X0,X1)
| set_union2(singleton(X0),X1) = X1 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(f24,plain,
sK1 != set_union2(singleton(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:13:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (27938)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (27940)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [5]
% 0.14/0.38 TRYING [6]
% 0.14/0.38 % (27943)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (27944)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (27945)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (27939)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (27945)First to succeed.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (27944)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [7]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (27945)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (27945)------------------------------
% 0.14/0.38 % (27945)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (27945)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (27945)Memory used [KB]: 758
% 0.14/0.38 % (27945)Time elapsed: 0.006 s
% 0.14/0.38 % (27945)Instructions burned: 3 (million)
% 0.14/0.38 % (27945)------------------------------
% 0.14/0.38 % (27945)------------------------------
% 0.14/0.38 % (27938)Success in time 0.033 s
%------------------------------------------------------------------------------