TSTP Solution File: SET910+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET910+1 : 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 : n013.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 15:13:57 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 21 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 2 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 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(f29,plain,
$false,
inference(unit_resulting_resolution,[],[f20,f19,f24]) ).
fof(f24,plain,
! [X0,X1] :
( singleton(X1) != set_intersection2(X0,singleton(X1))
| in(X1,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( in(X1,X0)
| singleton(X1) != set_intersection2(X0,singleton(X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( singleton(X1) = set_intersection2(X0,singleton(X1))
=> in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l30_zfmisc_1) ).
fof(f19,plain,
singleton(sK1) = set_intersection2(sK0,singleton(sK1)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ~ in(sK1,sK0)
& singleton(sK1) = set_intersection2(sK0,singleton(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f13]) ).
fof(f13,plain,
( ? [X0,X1] :
( ~ in(X1,X0)
& singleton(X1) = set_intersection2(X0,singleton(X1)) )
=> ( ~ in(sK1,sK0)
& singleton(sK1) = set_intersection2(sK0,singleton(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1] :
( ~ in(X1,X0)
& singleton(X1) = set_intersection2(X0,singleton(X1)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] :
( singleton(X1) = set_intersection2(X0,singleton(X1))
=> in(X1,X0) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X0,X1] :
( singleton(X1) = set_intersection2(X0,singleton(X1))
=> in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_zfmisc_1) ).
fof(f20,plain,
~ in(sK1,sK0),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 01:30:19 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (4191)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (4195)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (4194)WARNING: value z3 for option sas not known
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (4192)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (4193)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (4194)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (4196)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 % (4198)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (4197)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 TRYING [1]
% 0.14/0.38 % (4198)First to succeed.
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (4197)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (4198)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 % (4198)------------------------------
% 0.14/0.38 % (4198)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4198)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (4198)Memory used [KB]: 755
% 0.14/0.38 % (4198)Time elapsed: 0.003 s
% 0.14/0.38 % (4198)Instructions burned: 3 (million)
% 0.14/0.38 % (4198)------------------------------
% 0.14/0.38 % (4198)------------------------------
% 0.14/0.38 % (4191)Success in time 0.02 s
%------------------------------------------------------------------------------