TSTP Solution File: SET917+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.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 : Wed Aug 31 18:26:05 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 37 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 7 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,plain,
$false,
inference(trivial_inequality_removal,[],[f49]) ).
fof(f49,plain,
singleton(sK2) != singleton(sK2),
inference(superposition,[],[f47,f48]) ).
fof(f48,plain,
singleton(sK2) = set_intersection2(sK1,singleton(sK2)),
inference(resolution,[],[f32,f43]) ).
fof(f43,plain,
in(sK2,sK1),
inference(resolution,[],[f33,f37]) ).
fof(f37,plain,
~ disjoint(singleton(sK2),sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( ~ disjoint(singleton(sK2),sK1)
& set_intersection2(singleton(sK2),sK1) != singleton(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1] :
( ~ disjoint(singleton(X1),X0)
& set_intersection2(singleton(X1),X0) != singleton(X1) )
=> ( ~ disjoint(singleton(sK2),sK1)
& set_intersection2(singleton(sK2),sK1) != singleton(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1] :
( ~ disjoint(singleton(X1),X0)
& set_intersection2(singleton(X1),X0) != singleton(X1) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
? [X1,X0] :
( ~ disjoint(singleton(X0),X1)
& singleton(X0) != set_intersection2(singleton(X0),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),X1)
| disjoint(singleton(X0),X1) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),X1)
| disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_zfmisc_1) ).
fof(f33,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(f32,plain,
! [X0,X1] :
( ~ in(X1,X0)
| set_intersection2(X0,singleton(X1)) = singleton(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ in(X1,X0)
| set_intersection2(X0,singleton(X1)) = singleton(X1) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( ~ in(X0,X1)
| singleton(X0) = set_intersection2(X1,singleton(X0)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( in(X0,X1)
=> singleton(X0) = set_intersection2(X1,singleton(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_zfmisc_1) ).
fof(f47,plain,
singleton(sK2) != set_intersection2(sK1,singleton(sK2)),
inference(superposition,[],[f36,f35]) ).
fof(f35,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f36,plain,
set_intersection2(singleton(sK2),sK1) != singleton(sK2),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:26:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (27336)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (27344)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (27336)First to succeed.
% 0.20/0.51 % (27328)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (27336)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (27336)------------------------------
% 0.20/0.51 % (27336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (27336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (27336)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (27336)Memory used [KB]: 895
% 0.20/0.51 % (27336)Time elapsed: 0.101 s
% 0.20/0.51 % (27336)Instructions burned: 2 (million)
% 0.20/0.51 % (27336)------------------------------
% 0.20/0.51 % (27336)------------------------------
% 0.20/0.51 % (27323)Success in time 0.166 s
%------------------------------------------------------------------------------